5 Factors to Consider When Choosing a Business School for Its Maximum Global Impact

Europeean MBA ProgramsAs the world has become increasingly global and interconnected, the business world has followed the same trend. As such, the ability to be a global thinker has been ingrained in many business school curriculums, both domestically and internationally. For some, this educational dalliance with a global curriculum at many MBA programs is insufficient and does not effectively prepare students to lead in an international setting.

Choosing an MBA program for a global impact is extremely important for students looking to live or work internationally. Also, globally-minded programs tend to attract more students who are interested in working at multi-national corporations that may be headquartered outside of the U.S. For international students, attending programs with a high percentage of other international students eases the transition to a new country and provides a more comfortable experience during the 2-year business school journey. Let us discuss some other things to consider as you explore what constitutes the right globally-minded MBA program for you:

1) Location
The location of your future business school is one of the biggest factors to consider when determining your fit with a specific program. Now, when thinking about programs that can deliver a global impact, usually the closer you are to your target region of post-MBA work, the better off you are – if you are interested in working in Europe, for example, then a European MBA program like INSEAD may make more sense for you than an MBA program in the United States.

2) Reputation
Even an MBA program that is not based in your region of interest can provide great post-MBA career opportunities if its name carries the right reputation. Globally-reputed programs resonate anywhere in the world, which can allow students a great education with career opportunities in other international areas.

3) Curriculum
If you are interested in how global an MBA program is, make sure to review the academic offerings of your target schools, paying close attention to how they weave global learning into their course requirements. The best global programs will offer relevant international coursework, treks, and experiential learning opportunities to provide practical and academic experiences for interested students. Some programs, like the Kellogg School of Management at Northwestern University, even have international education requirements that mandate students to study abroad, take internationally-focused coursework, or engage in some other global experiential learning opportunities.

4) Alumni
Prominent alumni or a high number of alumni in a region from your target school can be another great indicator of fit. A strong, connected alumni network can often help you secure short-term or long-term employment in a desired nation of your choice or multi-national company.

5) Current Students
For applicants interested in global exposure, the amount of international students currently in the MBA programs they are interested in can be a strong indicator that they may click with that program. Having an internationally diverse student body provides tremendous networking opportunities for students interested in learning more about global career opportunities as well as the cultures in specific regions around the world.

Follow the tips above to inform your decision making when choosing the right globally-minded MBA program for your unique needs.

Applying to business school? Call us at 1-800-925-7737 and speak with an MBA admissions expert today, or take our free MBA Admissions Profile Evaluation for personalized advice for your unique application situation! As always, be sure to find us on Facebook, YouTube, Google+ and Twitter.

Dozie A. is a Veritas Prep Head Consultant for the Kellogg School of Management at Northwestern University. His specialties include consulting, marketing, and low GPA/GMAT applicants. You can read more articles by him here.

Quarter Wit, Quarter Wisdom: Why Critical Reasoning Needs Your Complete Attention on the GMAT!

Quarter Wit, Quarter WisdomLet’s look at a tricky and time consuming official Critical Reasoning question today. We will learn how to focus on the important aspects of the question and quickly evaluate our answer choices:

Tiger beetles are such fast runners that they can capture virtually any nonflying insect. However, when running toward an insect, a tiger beetle will intermittently stop and then, a moment later, resume its attack. Perhaps the beetles cannot maintain their pace and must pause for a moment’s rest; but an alternative hypothesis is that while running, tiger beetles are unable to adequately process the resulting rapidly changing visual information and so quickly go blind and stop. 

Which of the following, if discovered in experiments using artificially moved prey insects, would support one of the two hypotheses and undermine the other? 

(A) When a prey insect is moved directly toward a beetle that has been chasing it, the beetle immediately stops and runs away without its usual intermittent stopping. 
(B) In pursuing a swerving insect, a beetle alters its course while running and its pauses become more frequent as the chase progresses.
(C) In pursuing a moving insect, a beetle usually responds immediately to changes in the insect’s direction, and it pauses equally frequently whether the chase is up or down an incline. 
(D) If, when a beetle pauses, it has not gained on the insect it is pursuing, the beetle generally ends its pursuit. 
(E) The faster a beetle pursues an insect fleeing directly away from it, the more frequently the beetle stops.

First, take a look at the argument:

  • Tiger beetles are very fast runners.
  • When running toward an insect, a tiger beetle will intermittently stop and then, a moment later, resume its attack.

There are two hypotheses presented for this behavior:

  1. The beetles cannot maintain their pace and must pause for a moment’s rest.
  2. While running, tiger beetles are unable to adequately process the resulting rapidly changing visual information and so quickly go blind and stop.

We need to support one of the two hypotheses and undermine the other. We don’t know which one will be supported and which will be undermined. How will we support/undermine a hypothesis?

The beetles cannot maintain their pace and must pause for a moment’s rest.

Support: Something that tells us that they do get tired. e.g. going uphill they pause more.

Undermine: Something that says that fatigue plays no role e.g. the frequency of pauses do not increase as the chase continues.

While running, tiger beetles are unable to adequately process the resulting rapidly changing visual information and so quickly go blind and stop.

Support: Something that says that they are not able to process changing visual information e.g. as speed increases, frequency of pauses increases.

Undermine: Something that says that they are able to process changing visual information e.g. it doesn’t pause on turns.

Now, we need to look at each answer choice to see which one supports one hypothesis and undermines the other. Focus on the impact each option has on our two hypotheses:

(A) When a prey insect is moved directly toward a beetle that has been chasing it, the beetle immediately stops and runs away without its usual intermittent stopping.

This undermines both hypotheses. If the beetle is able to run without stopping in some situations, it means that it is not a physical ailment that makes him take pauses. He is not trying to catch his breath – so to say – nor is he adjusting his field of vision.

(B) In pursuing a swerving insect, a beetle alters its course while running and its pauses become more frequent as the chase progresses.

If the beetle alters its course while running, it is obviously processing changing visual information and changing its course accordingly while running. This undermines the hypothesis “it cannot process rapidly changing visual information”. However, if the beetle pauses more frequently as the chase progresses, it is tiring out more and more due to the long chase and, hence, is taking more frequent breaks. This supports the hypothesis, “it cannot maintain its speed and pauses for rest”.

Answer choice B strengthens one hypothesis and undermines the other. This must be the answer, but let’s check our other options, just to be sure:

(C) In pursuing a moving insect, a beetle usually responds immediately to changes in the insect’s direction, and it pauses equally frequently whether the chase is up or down an incline.

This answer choice undermines both hypotheses. If the beetle responds immediately to changes in direction, it is able to process changing visual information. In addition, if the beetle takes similar pauses going up or down, it is not the effort of running that is making it take the pauses (otherwise, going up, it would have taken more pauses since it takes more effort going up).

(D) If, when a beetle pauses, it has not gained on the insect it is pursuing, the beetle generally ends its pursuit.

This answer choice might strengthen the hypothesis that the beetle is not able to respond to changing visual information since it decides whether it is giving up or not after pausing (in case there is a certain stance that tells us that it has paused), but it doesn’t actually undermine the hypothesis that the beetle pauses to rest. It is very possible that it pauses to rest, and at that time assesses the situation and decides whether it wants to continue the chase. Hence, this option doesn’t undermine either hypothesis and cannot be our answer.

(E) The faster a beetle pursues an insect fleeing directly away from it, the more frequently the beetle stops.

This answer choice strengthens both of the hypotheses. The faster the beetle runs, the more rest it would need, and the more rapidly visual information would change causing the beetle to pause. Because this option does not undermine either hypothesis, it also cannot be our answer.

Only answer choice B strengthens one hypothesis and undermines the other, therefore, our answer must be B.

Getting ready to take the GMAT? We have free online GMAT seminars running all the time. And, be sure to follow us on FacebookYouTubeGoogle+, and Twitter!

Karishma, a Computer Engineer with a keen interest in alternative Mathematical approaches, has mentored students in the continents of Asia, Europe and North America. She teaches the GMAT for Veritas Prep and regularly participates in content development projects such as this blog!

How to Simplify Sequences on the GMAT

SAT/ACTThe GMAT loves sequence questions. Test-takers, not surprisingly, do not feel the same level of affection for this topic. In some ways, it’s a peculiar reaction. A sequence is really just a set of numbers. It may be infinite, it may be finite, but it’s this very open-endedness, this dizzying level of fuzzy abstraction, that can make sequences so difficult to mentally corral.

If you are one of the many people who fear and dislike sequences, your main consolation should come from the fact that the main weapon in the question writer’s arsenal is the very fear these questions might elicit. And if you have been a reader of this blog for any length of time, you know that the best way to combat this anxiety is to dive in and convert abstractions into something concrete, either by listing out some portion of the sequence, or by using the answer choices and working backwards.

Take this question for example:

For a certain set of numbers, if x is in the set, then x – 3 is also in the set. If the number 1 is in the set, which of the following must also be in the set? 

I. 4
II. -1
III. -5

A) I only
B) II only
C) III only
D) I and II
E) II and III

Okay, so let’s list out the elements in this set. We know that 1 is in the set. If x= 1, then x – 3 = -2. So -2 is in the set. If x = -2 is in the set, then x – 3 = -5. So -5 is in the set.

By this point, the pattern should be clear: each term is three less than the previous term, giving us a sequence that looks like this: 1, -2, -5, -8, -11….

So we look at our options, and see we that only III is true. And we’re done. That’s it. The answer is C.

Sure, Dave, you may say. That is much easier than any question I’m going to see on the GMAT. First, this is an official question, so I’m not sure where you’re getting the idea that you’d never see a question like this. Second, you’d be surprised by how many test-takers get this wrong.

There is the temptation to assume that if 1 is in the set, then 4 must also be in the set. And note that this is, in fact, a possibility. If x = 4, then x – 3 = 1. But the question asks us what “must be” in the set. So it’s possible that 4 is in our set. But it’s also possible our set begins with 1, in which case 4 would not be included. This little wrinkle is enough to generate a substantial number of incorrect responses.

Still, surely the questions get harder than this. Well, yes. They do. So what are you waiting for? I’m not sure where this testy impatience is coming from, but if you insist:

The sequence a1, a2, a3, . . , an of n integers is such that ak = k if k is odd and ak = -ak-1 if k is even. Is the sum of the terms in the sequence positive?

1) n is odd

2) an is positive

Yikes! Hey, you asked for a harder one. This question looks far more complicated than the previous one, but we can attack it the same way. Let’s establish our sequence:

a1 is the first term in the sequence. We’re told that ak = k if k is odd. Well, 1 is odd, so now we know that a1 = 1. So far so good.

a2 is the second term in the sequence. We’re told that ak = -ak-1 if k is even. 2 is even, so a2 = -a2-1 , meaning that a2 = -a1. Well, we know that a1 = 1, so if a2 = -a1 then a2 = -1.

So, here’s our sequence so far: 1, -1…

Let’s keep going.

a3 is the third term in the sequence. Remember that ak = k if k is odd. 3 is odd, so now we know that a3 = 3.

a4 is the fourth term in the sequence. Remember that ak = -ak-1 if k is even. 4 is even, so a4 = -a4-1 , meaning that a4 = -a3We know that a3 = 3, so if a4 = -a3 then a4 = -3.

Now our sequence looks like this: 1, -1, 3, -3…

By this point we should see the pattern. Every odd term is a positive number that is dictated by its place in the sequence (the first term = 1, the third term = 3, etc.) and every even term is simply the previous term multiplied by -1.

We’re asked about the sum:

After one term, we have 1.

After two terms, we have 1 + (-1) = 0.

After three terms, we have 1 + (-1) + 3 = 3.

After four terms, we have 1 + (-1) + 3 + (-3) = 0.

Notice the trend: after every odd term, the sum is positive. After every even term, the sum is 0.

So the initial question, “Is the sum of the terms in the sequence positive?” can be rephrased as, “Are there an ODD number of terms in the sequence?”

Now to the statements. Statement 1 tells us that there are an odd number of terms in the sequence. That clearly answers our rephrased question, because if there are an odd number of terms, the sum will be positive. This is sufficient.

Statement 2 tells us that an is positive. an is the last term in the sequence. If that term is positive, then, according to the pattern we’ve established, that term must be odd, meaning that the sum of the sequence is positive. This is also sufficient. And the answer is D, either statement alone is sufficient to answer the question.

Takeaway: sequence questions are nothing to fear. Like everything else on the GMAT, the main obstacle we need to overcome is the self-fulfilling prophesy that we don’t know how to proceed, when, in fact, all we need to do is simplify things a bit.

Plan on taking the GMAT soon? We have GMAT prep courses starting all the time. And be sure to follow us on FacebookYouTubeGoogle+ and Twitter!

By David Goldstein, a Veritas Prep GMAT instructor based in Boston. You can find more articles written by him here.

What’s More Important to Business Schools: The Company You Work For or What You Actually Do?

Successful ApplicantFor most Admissions teams at top business schools, an applicant’s work experience is a major area of assessment, but there still remain a lot of questions around how programs evaluate the varying factors that make up one’s work experience. One of the key questions many candidates have when it comes to work experience is what do admissions teams value more: the reputation of the company you work for, or the quality of what you actually do?

Let’s explore why each aspect of this question is important, and ultimately, how admissions teams value or weight your work experience:

Big-Name Firm
Many of the top business schools are certainly “brand conscious” and tend to admit folks who have worked at large “blue chip” companies. However, I would say that this fact exists primarily due to the recruiting process of those firms.

The type of talent that can secure employment at these companies are often similar to the ones that can secure admission at top-tier MBA programs. From attending prestigious undergraduate programs to achieving high standardized test scores and maintaining high levels of ambition, there tend to be more similarities than differences between big-name firm employees and top MBA candidates.

Context of Work
One could argue that “impact” is the most important characteristic when evaluating work experience, however it can certainly be more difficult to get scope your accomplishments across when the Admissions Committee is unfamiliar with your firm.

Another challenge that often occurs here is when an applicant is unable to properly translate their great work experience and impact to the firm. With big-name firms, generally, no translation is needed as the reputation of the company precedes all, but when communicating the context of your work at a smaller firm, it is critical to clearly articulate all of your good deeds.

When considering the choice between firm reputation and impact of work, those without a blue chip pedigree should not be worried. The benefits of working at a larger company do not put you at a significant disadvantage – this just means you need to be proactive and aggressive in highlighting the higher value of your work and the nature of your firm. Your recommenders can also help you by explicitly and repeatedly emphasizing through their examples that you are not doing typical work. If you do these things, you will minimize the disadvantage of your firm’s lack of brand name.

Business schools would rather see you doing meaningful work at a small-name firm then doing nothing at a well-known brand. Now of course, the ideal situation would be to work at a blue chip company and still have great work experiences but it is perfectly fine if that’s not the case. The important thing is to make it very clear of the impact you made and how valued you are at your company.

Applying to business school? Call us at 1-800-925-7737 and speak with an MBA admissions expert today, or take our free MBA Admissions Profile Evaluation for personalized advice for your unique application situation! As always, be sure to find us on Facebook, YouTube, Google+ and Twitter.

Dozie A. is a Veritas Prep Head Consultant for the Kellogg School of Management at Northwestern University. His specialties include consulting, marketing, and low GPA/GMAT applicants. You read more articles by him here.

You’re Fooling Yourself: The GMAT is NOT the SAT!

StudentWhile a fair number of GMAT test takers study for and complete the exam a number of years into their professional career (the average age of a B-school applicant is 28, a good 6-7 years removed from their undergraduate graduation), you may be one of the ambitious few who is studying for the GMAT during, or immediately following, your undergraduate studies.

There are pros and cons to applying to business school entry straight out of undergraduate – your application lacks the core work experience that many of the higher-tier programs prefer, but unlike the competition, you have not only taken a standardized test in the past 6 years, but you are also (likely) still in the studying mindset and know (versus trying to remember) exactly what it takes to prepare for a difficult exam.

However, you may also fall into a common trap that many younger test takers find themselves in – you decide to tackle the GMAT like your old and recent friend, the SAT.

Now, are there similarities between the GMAT and SAT? Of course.

For starters, the SAT and GMAT are both multiple-choice standardized exams. The math section of the SAT covers arithmetic, geometry, and algebra, just like the quantitative section of the GMAT, with some overlap in statistics and probability. Both exams test a core, basic understanding of English grammar, and ask you to answer questions based on your comprehension of dry, somewhat complex reading passages. The SAT and GMAT also both require you write essays (although the essay on the SAT is now optional), and timing and pacing are issues on both exams, though perhaps more so on the GMAT.

But this is largely where the overlap ends. So, does that mean everything you know and prepped for the SAT should be thrown out the window?

Not necessarily, but it does require a fundamental shift in thinking. While applying your understanding of the Pythagorean Theorem, factorization, permutations, and arithmetic sequences from the SAT will certainly help you begin to tackle GMAT quantitative questions, there are key differences in what the GMAT is looking to assess versus the College Board, and with that, the strategy in tackling these questions should also be quite different.

Simply put, the GMAT is testing how you think, not what you know. This makes sense, when you think about what types of skills are required in business school and, eventually, in the management of business and people. GMAC doesn’t hide what the GMAT is looking to assess – in fact, goals of the GMAT’s assessment are clearly stated on its website:

The GMAT exam is designed to test skills that are highly important to business and management programs. It assesses analytical writing and problem-solving abilities, along with the data sufficiency, logic, and critical reasoning skills that are vital to real-world business and management success. In June 2012, the GMAT exam introduced Integrated Reasoning, a new section designed to measure a test taker’s ability to evaluate information presented in new formats and from multiple sources─skills necessary for management students to succeed in a technologically advanced and data-rich world.

To successfully show that you are a candidate worth considering, in your preparation for the exam, make sure you consider what the right strategy and approach will be. Strategy, strategy, strategy. You need to understand which rabbit holes the GMAT can take you down, what tricks not to fall for (especially via misdirection), and how identification of question types can best inform the next steps you take.

An additional, and really, really important point is to keep in mind is that the GMAT is a computer-adaptive exam, not a pen-and-paper test.

Computer-adaptive means that your answer selection dictates the difficulty level of the next question – stacking itself up to a very accurate assessment of how easily you are able to answer easy, medium, and hard questions. Computer-adaptive also means you are not able to skip around, or go back to questions… including the reading comprehension ones. Just like on any game show, you must select your final answer before moving on.

As a computer-adaptive test, the GMAT not only punishes pacing issues, but can be even more detrimental to those who rush and make careless mistakes in the beginning. To wage war against the CAT format, test takers must be careful and methodical in assessing and answering test questions correctly.

Bottom line: don’t treat the GMAT like the SAT, or assume that because you did well on the SAT, you will also do so on the GMAT (or, vice versa). Make sure you are aware of the components of the GMAT that are different and where the similarities between the two tests end.

Plan on taking the GMAT soon? We have GMAT prep courses starting all the time. And be sure to follow us on FacebookYouTubeGoogle+ and Twitter!

By Ashley Triscuit, a Veritas Prep GMAT instructor based in Boston.

SAT Tip of the Week: Don’t Stress Over the PSAT!

SAT Tip of the Week - FullAs many of you already know, PSAT stands for Preliminary Scholastic Aptitude Test. What many people might not believe, though, is that “Preliminary” is the most important word in that title. Sophomores and juniors take the PSAT to prepare for the SAT exam, and that preparation is exactly what the PSAT is designed for.

The PSAT helps students determine what sections of the test they need to work on, what kind of score they could expect on the SAT, what SAT questions will look like, how to manage timing on the test, how to handle high-pressure situations, and a host of other things.

Each of these facets is important, and using the PSAT to get familiar with them can be a big boon to students’ scores come test day.

However, it’s crucial to not let the PSAT become a bigger deal than it really is. Except for those rare students in the top 1% of scorers that qualify for National Merit Scholarships, PSAT scores are only important to one person: the person who took the test. Even for those high-scoring students, the PSAT’s primary function is to get students ready for the SAT – the test that truly matters for college admissions.

PSAT scores are designed to help you do better on the real SAT. They are not meant to be a complete reflection on your academic ability or future success in college. For that reason, you should not stress out about the PSAT at all. The scores are meant to get you acclimated with your strengths and weaknesses; they aren’t intended to crush your confidence and make you overly worried about the SAT. When students get nervous before taking the PSAT, or worried after finding out their scores, that represents a real misunderstanding of the role of the PSAT.

To see why it’s totally fine to not treat the PSAT as a life-or-death occurrence, here’s how I approached the PSAT 2 years ago when I took it (yes, it was the old PSAT that corresponded to the 2400 scale SAT, but the general principles of the PSAT’s importance remain the same):

A few days before the PSAT, I looked over a review packet my school gave me and completed and scored the timed practice sessions. The night before, I looked over the practice test, reviewed a little vocab, and went to bed. It was pretty light studying, but I was feeling good – not stressed out at all. I took the test the next day and it seemed like it went well, but when I got my scores back, I had done a lot worse than I thought. Even still, I knew that that my score didn’t really matter, and while it did frustrate me a little bit, I refused to get stressed out and decided to keep a positive attitude as I got to work preparing for the real SAT.

Using my struggles on the PSAT as a framework for studying for the new SAT, I scored an equivalent of 430 points better on the SAT than I did on the PSAT. That’s an incredibly wide disparity, and it proves that a mediocre PSAT score is definitely not the end of the world.

Keep in mind that stress will make your score worse and increase the already enormous amount of pressure you probably feel to get into college. Your score will not be an accurate depiction of what your real SAT score could look like – the score you’d get with a positive attitude and calm demeanor.

So, how should you approach the PSAT? For starters, don’t act as if your future depends on it. Pro tip: it really doesn’t. It’s also important to remember that you can always bounce back from a sub-par PSAT score, and that the test is valuable for a lot more than just a score.

Think of the PSAT as a free check-up – a great way to practice for the real test that also provides a gauge of how you can expect to do on it. When you think of the PSAT like this, you’ll realize that there isn’t much to worry about. You don’t need to spend weeks studying for it, and you definitely don’t need to feel any anxiety about it. Just get acquainted with the test, do some review, and go take a test that only has the potential to help you.

Do you still need help with your college applications? We can help! Visit our College Admissions website and register to attend one of our FREE Online College WorkshopsAnd as always, be sure to follow us on Facebook, YouTube, Google+, and Twitter!

By Aidan Calvelli.

Solving GMAT Standard Deviation Problems By Using as Little Math as Possible

GMATThe other night I taught our Statistics lesson, and when we got to the section of class that deals with standard deviation, there was a familiar collective groan – not unlike the groan one encounters when doing compound interest, or any mathematical concept that, when we learned it in school, involved an intimidating-looking formula.

So, I think it’s time for me to coin an axiom: the more painful the traditional formula associated with a given topic, the simpler the actual calculations will be on the GMAT. (Please note, though the axiom is awaiting official mathematical verification by Veritas’ hard-working team of data scientists, the anecdotal evidence in support of the axiom is overwhelming.)

So, let’s talk standard deviation. If you’re like my students, your first thought is to start assembling a list of increasingly frantic questions: Do we need to know that horrible formula I learned in Stats class? (No.) Do we need to know the relationship between variance and Standard deviation? (You just need to know that there is a relationship, and that if you can solve for one, you can solve for the other.) Etc.

So, rather than droning on about what we don’t need to know, let’s boil down what we do need to know about standard deviation. The good news – it isn’t much. Just make sure you’ve internalized the following:

  • The standard deviation is a measure of the dispersion the elements of the set around mean. The farther away the terms are from the mean, the larger the standard deviation.
  • If we were to increase or decrease each element of the set by “x,” the standard deviation would remain unchanged.
  • If we were to multiply each element of the set by “x,” the standard deviation would also be multiplied by “x.”
  • If the mean of a set is “m” and the standard deviation is “d,” then to say that something is within 3 standard deviations of a set is to say that it falls within the interval of (m – 3d) to (m + 3d.) And to say that something is within 2 standard deviations of the mean is to say that it falls within the interval of (m – 2d) to (m + 2d.)

That’s basically it. Not anything to get too worked up about. So, let’s see some of these principles in action to substantiate the claim that we won’t have to do too much arithmetical grinding on these types of questions:

If d is the standard deviation of x, y, z, what is the standard deviation of x+5, y+5, z+5 ? 

A) d
B) 3d
C) 15d
D) d+5
E) d+15

If our initial set is x, y, z, and our new set is x+5, y+5, and z+5, then we’re adding the same value to each element of the set. We already know that adding the same value to each element of the set does not change the standard deviation. Therefore, if the initial standard deviation was d, the new standard deviation is also d. We’re done – the answer is A. (You can see this with a simple example. If your initial set is {1, 2, 3} and your new set is {6, 7, 8} the dispersion of the set clearly hasn’t changed.)

Surely the questions get harder than this, you say. They do, but if you know the aforementioned core concepts, they’re all quite manageable. Here’s another one:

Some water was removed from each of 6 tanks. If standard deviation of the volumes of water at the beginning was 10 gallons, what was the standard deviation of the volumes at the end? 

1) For each tank, 30% of water at the beginning was removed
2) The average volume of water in the tanks at the end was 63 gallons 

We know the initial standard deviation. We want to know if it’s possible to determine the new standard deviation after water is removed. To the statements we go!

Statement 1: If 30% of the water is removed from each tank, we know that each term in the set is multiplied by the same value: 0.7. Well, if each term in a set is multiplied by 0.7, then the standard deviation of the set is also multiplied by 0.7. If the initial standard deviation was 10 gallons, then the new standard deviation would be 10*(0.7) = 7 gallons. And we don’t even need to do the math – it’s enough to see that it’s possible to calculate this number. Therefore, Statement 1 alone is sufficient.

Statement 2: Knowing the average of a set is not going to tell us very much about the dispersion of the set. To see why, imagine a simple case in which we have two tanks, and the average volume of water in the tanks is 63 gallons. It’s possible that each tank has exactly 63 gallons and, if so, the standard deviation would be 0, as everything would equal the mean. It’s also possible to have one tank that had 126 gallons and another tank that was empty, creating a standard deviation that would, of course, be significantly greater than 0. So, simply knowing the average cannot possibly give us our standard deviation. Statement 2 alone is not sufficient to answer the question.

And the answer is A.

Maybe at this point you’re itching for more of a challenge. Let’s look at a slightly tougher one:

7.51; 8.22; 7.86; 8.36 
8.09; 7.83; 8.30; 8.01
7.73; 8.25; 7.96; 8.53 

A vending machine is designed to dispense 8 ounces of coffee into a cup. After a test that recorded the number of ounces of coffee in each of 1000 cups dispensed by the vending machine, the 12 listed amounts, in ounces, were selected from the data above. If the 1000 recorded amounts have a mean of 8.1 ounces and a standard deviation of 0.3 ounces, how many of the 12 listed amounts are within 1.5 standard deviations of the mean? 

A)Four
B) Six
C) Nine
D) Ten
E) Eleven

Okay, so the standard deviation is 0.3 ounces. We want the values that are within 1.5 standard deviations of the mean. 1.5 standard deviations would be (1.5)(0.3) = 0.45 ounces, so we want all of the values that are within 0.45 ounces of the mean. If the mean is 8.1 ounces, this means that we want everything that falls between a lower bound of (8.1 – 0.45) and an upper bound of (8.1 + 4.5). Put another way, we want the number of values that fall between 8.1 – 0.45 = 7.65 and 8.1 + 0.45 = 8.55.

Looking at our 12 values, we can see that only one value, 7.51, falls outside of this range. If we have 12 total values and only 1 falls outside the range, then the other 11 are clearly within the range, so the answer is E.

As you can see, there’s very little math involved, even on the more difficult questions.

Takeaway: remember the axiom that the more complex-looking the formula is for a concept, the simpler the calculations are likely to be on the GMAT. An intuitive understanding of a topic will always go a lot further on this test than any amount of arithmetical virtuosity.

*GMATPrep questions courtesy of the Graduate Management Admissions Council.

Plan on taking the GMAT soon? We have GMAT prep courses starting all the time. And be sure to follow us on FacebookYouTubeGoogle+ and Twitter!

By David Goldstein, a Veritas Prep GMAT instructor based in Boston. You can find more articles written by him here.

How to Answer the “Post-MBA Goal” Question in 3 Steps

GoalsOne daunting, yet common question every business school candidate must answer at some point during the MBA application process is, “What are your post-MBA goals?”

In many cases, applicants do not have a concrete answer to this question – they just know that they don’t like where they currently are, but do not have clear post-MBA goals in mind. This kind of applicant will usually answer this question with something like, “I’ll explore my options during the program and go from there.”

While this is understandable, answering the question in this way could make the applicant come across as being unfocused, and doubts would arise as to whether the applicant has thought about his or her MBA goals properly. In these cases, it would be better for applicants to research likely post-MBA career paths with respect to their experiences and interests. This will allow them to state realistic post-MBA options, while also explicitly showing fit with the business schools they are interested in.

All things equal (as Econ professors love to say), identifying specifics will be the best way to go when discussing your future plans. Let’s examine 3 ways you can better define your post-business school goals to the Admissions committee:

1) Identify Career Fit with Your Personal Background
You would want to identify a goal that an MBA can help you achieve – that investing in a particular business school will create real value for you. In line with this, the Admissions Committee will evaluate how worthwhile and realistic your goal is given your previous experiences, current skill set, and potential future path with the school. This could include your academic potential, international exposure, work experiences, network, and personal passions.

Highlighting your unique qualities, track record of accomplishments, and resources you can leverage to make your future goals a reality is part of convincing the Admissions Committee of the feasibility of your post-MBA goal.

2) Showcase Your Knowledge of the Job Market
Identifying potential roles and the target market for yourself post-MBA, in the same way you would if you were creating a business plan for a new entrepreneurial venture, would clearly show the feasibility of your MBA plans. Matching your selling points in terms of knowledge, skills, abilities and experiences with the job market will be part of this process.

If possible, identify specific roles, companies, industries, and locations that are an ideal match for you – reaching out to people who have gone down a similar career path to the one you are interested in would help you determine if that particular track and the day-to-day realities that they experience match with your vision.

3) Emphasize Your Interest in This MBA Program
Finally, demonstrating keen interest in a particular MBA program by identifying how its culture, courses and clubs would fit your goals communicates a well-thought out plan. This will show the Admissions Committee that you took time to genuinely reflect on your personal development and what their unique school has to offer. Your interest will also help convince Admissions that you will readily accept a slot into their MBA program, if offered one.

With these tips in mind, be sure to invest your time and effort in researching the specifics of your target MBA programs and demonstrate that you have done so. If you are not yet confident in your answer to the post-MBA goal question, now is a great time to reflect and research – not only will a great answer to this question it strengthen your MBA application chances, but it will also give you clarity on the next stage of your life.

Applying to business school? Call us at 1-800-925-7737 and speak with an MBA admissions expert today, or take our free MBA Admissions Profile Evaluation for personalized advice for your unique application situation! As always, be sure to find us on Facebook, YouTube, Google+ and Twitter.

Written by Edison Cu, a Veritas Prep Head Consultant for INSEAD.

An Introvert’s Guide to Getting Settled in Big Colleges

walking studentMainstream movies, TV shows, and music would have us believe that large colleges are full of loud parties, heavy drinking, and Greek drama. To some of my fellow bright-eyed high school graduates, the scene was an exciting and alluring one. To others—bookish, quiet introverts like me—the idea was terrifying.

I was relieved to eventually discover that college isn’t just four straight years of toga parties and sorority rushes. For most of my first semester, however, I really thought it was: it seemed like everyone around me was partying every night, and all that ever seemed to appear on my Facebook feed were pictures of proud new pledges waving freshly earned Greek letters. Even at UC Berkeley – 34,000 students strong but hardly considered a party school – I felt plenty of pressure to act more like the toga-wearing, letter-waving characters I’d grown up hearing so much about. The 700-person lecture halls, packed study cafes, and loud dorm buildings only scared me more.

I found my place eventually, but it took me a while to realize that I didn’t have to betray my introvert self to do it. Here’s what I learned:

Not everybody is partying.
Actually, pretty few American college students socialize every night (for more, see this research project). It’s just that people tend to Instagram more often about upcoming parties and their nights out than, say, the nights in their rooms with a book and a bowl of instant mac and cheese. It’s worth going to at least a party or two just to see what it’s like, but you’re not considered weird for preferring work time or lazy time over crowded rooms and sweaty dance floors.

Know how you connect best with people, and then do that.
Do you prefer small groups? Join a campus club or attend events that interest you. Do you connect best through one-on-one interactions? Say hello to the student next to you in lecture, or invite your dorm floormate out for a coffee.

Unlike high school, college won’t often create small-group social interactions for you – you’ll have to take the initiative to plan them yourself – but that doesn’t mean there aren’t plenty of people happy to interact with you in that way. Parties and giant welcome events aren’t the only way to find friends.

Find your hideaways.
Look for quieter areas of campus and less-frequented cafes. Head to higher or lower floors of campus libraries instead of parking near the main entrance. Peaceful surroundings will help you settle back into yourself and store up enough energy to re-enter the fray when you’re ready.

Recognize that your bedroom might not be your refuge anymore.
If you live in a dorm and/or have one or more roommates, you may not be able to come home at the end of a long school day to a quiet space. Instead, try using your time away from home as your break from socializing so you can save up enough social energy for the evenings. Take walks between classes, sit on your own during lectures instead of next to classmates you know, or find a quiet place on or near campus to eat your lunch alone.

Remember that smaller classes are often more socially intense than large lectures.
People tend to keep to themselves in large lectures, so it’s easy to avoid draining small talk just by blending into the crowd. In smaller classes, however, you’re more visible and more likely to be approached. Smaller classes offer great academic benefits, like closer relationships with professors and more personalized learning, so the answer isn’t to avoid small classes. Instead, consider setting up your schedule in a way that avoids stacking too many small classes into the same day, or in time slots too close together, to save yourself enough time to take a social break if you need to.

Be proactive in finding your circle of friends.
Introverts tend to prefer having a few meaningful friends over meeting a slew of acquaintances. The nice part about big colleges is that they’re big enough that you can be sure there are people around who share your interests. The frustrating part is that you have to sift through thousands of other people in order to find them. The only answers here are persistence and luck – choose classes, extracurriculars, and social events that you’re interested in, and be open enough to socializing with strangers that you can give yourself a chance to form close connections.

Do you still need help with your college applications? We can help! Visit our College Admissions website and register to attend one of our FREE Online College WorkshopsAnd as always, be sure to follow us on Facebook, YouTube, Google+, and Twitter!

Courtney Tran is a student at UC Berkeley, studying Political Economy and Rhetoric. In high school, she was named a National Merit Finalist and National AP Scholar, and she represented her district two years in a row in Public Forum Debate at the National Forensics League National Tournament.

Free MBA Guide: Everything You Need to Research Business Schools and Create Compelling Applications

Columbia UniversityIt’s no secret that pursuing an MBA is a challenging and time consuming process. There are thousands of MBA programs around the world, and it’s your job to find the program best fit for you. It’s easy to identify programs where your GPA and GMAT score fall within the range of accepted candidates, but what about personal fit? Which school or schools will offer you the best environment for your unique personality and future goals?

The Veritas Prep Essential Guide to Top Business Schools is a must-have resource for every elite MBA applicant. Now available for free through the Veritas Prep website, this comprehensive, interactive guide cuts through the marketing jargon and basic statistics found on any school’s website to offer in-depth analysis and expert advice to gain admission to the world’s most selective graduate business programs.

Use this guide to help determine which business school is the best fit for you based on your unique needs. The Essential Guide to Top Business School includes detailed information about the world’s most competitive business schools, including class statistics, academic structure, campus culture, post-MBA employment trends, as well as actionable advice to create compelling applications.

What are you waiting for? Bring yourself one step closer to getting an MBA, and check out the Veritas Prep Essential Guide to Business School for free now!

Getting ready to apply to business school? Call us at 1-800-925-7737 and speak with an MBA admissions expert today, or take our free MBA Admissions Profile Evaluation for personalized advice for your unique application situation! And as always, be sure to find us on Facebook, YouTube, Google+ and Twitter.

Quarter Wit, Quarter Wisdom: Using Visual Symmetry to Solve GMAT Probability Problems

Quarter Wit, Quarter WisdomToday, let’s take a look at an official GMAT question involving visual skills. It takes a moment to understand the given diagram, but at close inspection, we’ll find that this question is just a simple probability question – the trick is in understanding the symmetry of the figure:

The figure shown represents a board with 4 rows of pegs, and at the bottom of the board are 4 cells numbered 1 to 4. Whenever the ball shown passes through the opening between two adjacent pegs in the same row, it will hit the peg directly beneath the opening. The ball then has the probability 1/2 of passing through the opening immediately to the left of that peg and probability 1/2 of passing through the opening immediately to the right. What is the probability that when the ball passes through the first two pegs at the top it will end in cell 2?

qwqw pegs pic

 

 

 

 

(A) 1/16
(B) 1/8
(C) 1/4
(D) 3/8
(E) 1/2

First, understand the diagram. There are small pegs arranged in rows and columns. The ball falls between two adjacent pegs and hits the peg directly below. When it does, there are two ways it can go – either to the opening on the left or to the opening on the right. The probability of each move is equal, i.e. 1/2.

The arrow show the first path the ball takes. It is dropped between the top two pegs, hits the peg directly below it, and then either drops to the left side or to the right. The same process will be repeated until the ball falls into one of the four cells – 1, 2, 3 or 4.

Method 1: Using Symmetry
Now that we understand this process, let’s examine the symmetry in this diagram.

Say we flip the image along the vertical axis – what do we get? The figure is still exactly the same, but now the order of cells is reversed to be 4, 3, 2, 1. The pathways in which you could reach Cell 1 are now the pathways in which you can use to reach Cell 4.

OR think about it like this:

To reach Cell 1, the ball needs to turn left-left-left.

To reach Cell 4, the ball needs to turn right-right-right.

Since the probability of turning left or right is the same, the situations are symmetrical. This will be the same case for Cells 2 and 3. Therefore, by symmetry, we see that:

The probability of reaching Cell 1 = the probability of reaching Cell 4.

Similarly:

The probability of reaching Cell 2 = the probability of reaching Cell 3. (There will be multiple ways to reach Cell 2, but the ways of reaching Cell 3 will be similar, too.)

The total probability = the probability of reaching Cell 1 + the probability of reaching Cell 2 + the probability of reaching Cell 3 + the probability of reaching Cell 4 = 1

Because we know the probability of reaching Cells 1 and 4 are the same, and the probabilities of reaching Cells 2 and 3 are the same, this equation can be written as:

2*(the probability of reaching Cell 1) + 2*(the probability of reaching Cell 2) = 1

Let’s find the probability of reaching Cell 1:

After the first opening (not the peg, but the opening between pegs 1 and 2 in the first row), the ball moves left (between pegs 1 and 2 in second row) or right (between pegs 2 and 3 in second row). It must move left to reach Cell 1, and the probability of this = 1/2.

After that, the ball must move left again – the probability of this occurring is also 1/2, since probability of moving left or right is equal. Finally, the ball must turn left again to reach Cell 1 – the probability of this occurring is, again, 1/2. This means that the total probability of the ball reaching Cell 1 = (1/2)*(1/2)*(1/2) = 1/8

Plugging this value into the equation above:

2*(1/8) + 2 * probability of reaching Cell 2 = 1

Therefore, the probability of reaching Cell 2 = 3/8

Method 2: Enumerating the Cases
You can also answer this question by simply enumerating the cases.

At every step after the first drop between pegs 1 and 2 in the first row, there are two different paths available to the ball – either it can go left or it can go right. This happens three times and, hence, the total number of ways in which the ball can travel is 2*2*2 = 8

The ways in which the ball can reach Cell 2 are:

Left-Left-Right

Left-Right-Left

Right-Left-Left

So, the probability of the ball reaching Cell 2 is 3/8.

Note that here there is a chance that we might miss some case(s), especially in problems that involve many different probability options. Hence, enumerating should be the last option you use when tackling these types of questions on the GMAT.

Getting ready to take the GMAT? We have free online GMAT seminars running all the time. And, be sure to follow us on FacebookYouTubeGoogle+, and Twitter!

Karishma, a Computer Engineer with a keen interest in alternative Mathematical approaches, has mentored students in the continents of Asia, Europe and North America. She teaches the GMAT for Veritas Prep and regularly participates in content development projects such as this blog!

GMAT Tip of the Week: Mother Knows Best

GMAT Tip of the WeekThis weekend is Mother’s Day here in the United States, and also, as the first full weekend in May, a weekend that will kick off a sense of study urgency for those intent on the September Round 1 MBA admissions deadlines. (If your mother were here she’d tell you why: if you want two full months to study for the GMAT and two full months to work on your applications, you have to start studying now!)

In honor of mothers everywhere and in preparation for your GMAT, let’s consider one of the things that makes mothers so great. Even today as an adult, you’ll likely find that if you live a flight or lengthy drive/train from home, when you leave your hometown, your mother loads you up with snacks for the plane, bottled water for the drive, hand sanitizer for the airport, etc. Why is that? When it comes to their children – no matter how old or independent – mothers are prepared for every possible situation.

What if you get hungry on the plane, or you’re delayed at your connecting airport and your credit card registers fraud because of the strange location and you’re unable to purchase a meal?! She doesn’t want you getting sick after touching the railing on an escalator, so she found a Purell bottle that’s well less than the liquid limit at security (and also packed a clear plastic bag for you and your toiletries). Moms do not want their children caught in a unique and harmful (or inconvenient) situation, so they plan for all possible occurrences.

And that’s how you should approach Data Sufficiency questions on the GMAT.

When a novice test-taker sees the problem:

What is the value of x?

(1) x^2 = 25

(2) 8 < 2x < 12

He may quickly say “oh it’s 5” to both of them. 5 is the square root of 25, and the second equation simplifies to 4 < x < 6, and what number is between 4 and 6? It’s 5.

But your mother would give you caution, particularly because her mission is to avoid *negative* outcomes for you. She’d be prepared for a negative value of x (-5 satisfies Statement 1) and for nonintegers (x could be 4.00001 or 5.9999 given Statement 2). Knowing those contingencies, she’d wisely recognize that you need both statements to guarantee one exact answer (5) for x.

Just like she’d tie notes to your mittens or pin them on your shirt when you were a kid so that you wouldn’t forget (and like now she’ll text you reminders for your grandmother’s birthday or to RSVP to your cousin’s wedding), your mom would suggest that you keep these unique occurrences written down at the top of your noteboard on test day: Negative, Zero, Noninteger, Infinity, Biggest/Smallest Value. That way, you’ll always check for those unique situations before you submit your answer, and you’ll have a much better shot at a challenge-level problem like this:

The product of consecutive integers a, b, c, and d is 5,040. What is the value of d?

(1) d is prime

(2) d < c < b < a

So where does mom come in?

Searching for consecutive integers, you’ll likely factor 5,040 to 7, 8, 9, and 10 (the 10 is obvious because 5,040 ends in a 0, and then when you see that the rest is 504 and know that’s divisible by 9, and you’re just about done). And so with Statement 1, you’ll see that the only prime number in the bunch is 7, meaning that d = 7 and Statement 1 is sufficient. And Statement 2 seems to support that exact same conclusion – as the smallest of the 4 integers, d is, again, 7.

Right?

Enter mom’s notes: did you consider zero? (irrelevant) Did you consider nonintegers? (they specified integers, so irrelevant) Did you consider negative numbers?

That’s the key. The four consecutive integers could be -10, -9, -8, and -7 meaning that d could also be -10. That wasn’t an option for Statement 1 (only positives are prime) and so since you did the “hard work” of factoring 5,040 and then finally got to where Statement 2 was helpful, there’s a high likelihood that you were ready to be finished and saw 7 as the only option for Statement 2.

This is why mom’s reminders are so helpful: on harder problems, the “special circumstances” numbers that mom wants to make sure you’re always prepared for tend to be afterthoughts, having taken a backseat to the larger challenges of math. But mother knows best – you may not be stranded in a foreign airport without a snack and your car might not stall in the desert when you don’t have water, but in the rare event that such a situation occurs she wants you to be prepared. Keep mom’s list handy at the top of your noteboard (alas, the Pearson/Vue center won’t allow you to pin it to your shirt) and you, like mom, will be prepared for all situations.

Getting ready to take the GMAT? We have free online GMAT seminars running all the time. And as always, be sure to follow us on Facebook, YouTubeGoogle+ and Twitter!

By Brian Galvin.

Where Should You Live During Business School?

apartmentYou’ve snagged that letter of admission to the school of your dreams and are getting ready to matriculate. Your deposit is sent in and you’ve already notified your employer of your decision to attend business school next year. Everything seems to be falling in place, except where you are actually going to spend those two years in business school. Choosing where you will live during this time can be a bit challenging, especially for students who have limited knowledge of the local renting and housing markets.

Before you begin the housing hunt, prioritize what is most important to you. Is close proximity to campus something that you desire, or would you rather have more access to social areas like bars and restaurants? Do you want to buy or rent? Are you planning to live alone or with other people? Starting from this point will allow you to be more discerning and efficient during your housing search.

The process of finding a new living arrangement does not need to be so complicated – let’s explore a few groups within your business school community that can help ease this decision:

MBA Program
Most MBA programs provide tons of support for entering students when it comes to housing, so leverage your school’s resources to help inform you during this process. Most schools will have an apartment tour during their admitted students weekend, and if you are attending, this should be a can’t-miss activity.

During these tours you’ll have the chance to visit multiple apartment complexes and talk directly with the proprietors as they address any questions you may have about their accommodations. Many of the proprietors will also offer discounts during these weekends, so if you are looking for a good deal on housing, this is a great time to broker one.

Current Students
Another great source of housing intel is current business school students. They understand what’s most important about where to live in the student community, which can really help the decision-making process for matriculating students. It is usually pretty easy to get in touch with second-year students once admitted, so utilize multiple students to help support your housing search.

Alumni
Another great source of housing information is alumni of the school. Alumni are generally the most passionate about MBA programs, and so are overwhelmingly willing to help out new students however they can. Pick their brains over some of the pros and cons of housing options in the area and learn more about the best places to live. Also, don’t limit your alumni outreach to just MBA grads – if you can get in contact with any undergraduate alumni, they often know even more about the surrounding community as they spent four years in the area as opposed to just two years like the average MBA student.

Don’t get overwhelmed by the housing search – utilize the resources above to help you make the best decision and find the perfect new home.

Applying to business school? Call us at 1-800-925-7737 and speak with an MBA admissions expert today, or take our free MBA Admissions Profile Evaluation for personalized advice for your unique application situation! As always, be sure to find us on Facebook, YouTube, Google+ and Twitter.

Dozie A. is a Veritas Prep Head Consultant for the Kellogg School of Management at Northwestern University. His specialties include consulting, marketing, and low GPA/GMAT applicants. You read more articles by him here.

How to Avoid Trap Answers On GMAT Data Sufficiency Questions

GMAT TrapsWhen I’m not teaching GMAT classes or writing posts for our fine blog, I am, unfortunately, writing fiction. Anyone who has taken a stab at writing fiction knows that it’s hard, and because it’s hard, it is awfully tempting to steer away from pain and follow the path of least resistance.

This tendency can manifest itself in any number of ways. Sometimes it means producing a cliché rather than straining for a more precise and original way to render a scene. More often, it means procrastinating – cleaning my desk or refreshing espn.com for the 700th time – rather than doing any writing at all. The point is that my brain is often groping for an easy way out. This is how we’re all wired; it’s a dangerous instinct, both in writing and on the GMAT.

This problem is most acute on Data Sufficiency questions. Most test-takers like to go on auto-pilot when they can, relying on simple rules and heuristics rather than proving things to themselves – if I have the slope of a line and one point on that line, I know every point on that line; if I have two linear equations and two variables I can solve for both variables, etc.

This is not in and of itself a problem, but if you find your brain shifting into path-of-least-resistance mode and thinking that you’ve identified an answer to a question within a few seconds, be very suspicious about your mode of reasoning. This is not to say that you should simply assume that you’re wrong, but rather to encourage you to try to prove that you’re right.

Here’s a classic example of a GMAT Data Sufficiency question that appears to be easier than it is:

Joanna bought only $.15 stamps and $.29 stamps. How many $.15 stamps did she buy?

1) She bought $4.40 worth of stamps
2) She bought an equal number of $.15 stamps and $.29 stamps

Here’s how the path-of-least-resistance part of my brain wants to evaluate this question. Okay, for Statement 1, there could obviously be lots of scenarios. If I call “F” the number of 15 cent stamps and “T” the number of 29 cent stamps, all I know is that .15F + .29T = 4.40. So that statement is not sufficient. Statement 2 is just telling me that F = T. Clearly no good – any number could work. And together, I have two unique linear equations and two unknowns, so I have sufficiency and the answer is C.

This line of thinking only takes a few seconds, and just as I need to fight the urge to take a break from writing to watch YouTube clips of Last Week Tonight with John Oliver because it’s part of my novel “research,” I need to fight the urge to assume that such a simple line of reasoning will definitely lead me to the correct answer to this question.

So let’s rethink this. I know for sure that the answer cannot be E – if I can solve for the unknowns when I’m testing the statements together, I clearly have sufficiency there. And I know for sure that the answer cannot be that Statement 2 alone is sufficient. If F = T, there are an infinite number of values that will work.

So, let’s go back to Statement 1. I know that I cannot purchase a fraction of a stamp, so both F and T must be integer values. That’s interesting. I also know that the total amount spent on stamps is $4.40, or 440 cents, which has a units digit of 0. When I’m buying 15-cent stamps, I can spend 15 cents if I buy 1 stamp, 30 cents if I buy two, etc.

Notice that however many I buy, the units digit must either be 5 or 0. This means that the units digit for the amount I spend on 29 cent stamps must also be 5 or 0, otherwise, there’d be no way to get the 0 units digit I get in 440. The only way to get a units digit of 5 or 0 when I’m multiplying by 29 is if the other number ends in 5 or 0 . In other words, the number of 29-cent stamps I buy will have to be a multiple of 5 so that the amount I spend on 29-cent stamps will end in 5 or 0.

Here’s the sample space of how much I could have spent on 29-cent stamps:

Five stamps: 5*29 = 145 cents
Ten stamps: 10*29 = 290 cents
Fifteen stamps: 15* 29 = 435 cents

Any more than fifteen 29-cent stamps and I ‘m over 440, so these are the only possible options when testing the first statement.

Let’s evaluate: say I buy five 29-cent stamps and spend 145 cents. That will leave me with 440 – 145 = 295 cents left for the 15-cent stamps to cover. But I can’t spend exactly 295 cents by purchasing 15-cent stamps, because 295 is not a multiple of 15.

Say I buy ten 29-cent stamps, spending 290 cents. That leaves 440 – 290 = 150. Ten 15-cent stamps will get me there, so this is a possibility.

Say I buy fifteen 29-cent stamps, spending 435 cents. That leaves 440 – 435 = 5. Clearly that’s not possible to cover with 15-cent stamps.

Only one option works: ten 29-cent stamps and ten 15-cent stamps. Because there’s only one possibility, Statement 1 alone is sufficient, and the answer here is actually A.

Takeaway: Don’t take the GMAT the way I write fiction. Following the path of least-resistance will often lead you right into the trap the question writer has set for unsuspecting test-takers. If something feels too easy on a Data Sufficiency, it probably is.

*Official Guide question courtesy of the Graduate Management Admissions Council.

Plan on taking the GMAT soon? We have GMAT prep courses starting all the time. And be sure to follow us on Facebook, YouTube, Google+ and Twitter!

By David Goldstein, a Veritas Prep GMAT instructor based in Boston. You can find more articles written by him here.

How to Avoid Negativity in Your MBA Application Essays

MBA EssaysAnyone who has gone through the MBA application process knows how stressful it is. Applicants have to wrestle with preparing for the GMAT, deciding which schools to apply to, evaluating probabilities of admission, and worrying about finances – all while juggling various pressures at work and home.

Handling all of these responsibilities simultaneously while targeting specific application periods makes it tempting to just rush through the essay writing process to meet school deadlines and move on to other duties. Exhausted and unfamiliar with this process, applicants often get side-tracked and spend their time fine-tuning their essays with the wrong starting points.

One of the most common mistakes I have seen candidates make during my past eight years working with Veritas Prep is allowing negativity to seep into their application essays. Being mindful of this tendency can take you several steps closer to crafting a great application.

Many MBA applicants express time and again how unhappy, insignificant or stuck they feel with their current roles or companies, and while we always encourage applicants to be honest in their essays, focusing on the negative aspects that are prompting you to apply for an MBA does not help your cause and just wastes precious space.

For example, saying something like “I am just a salesman,” or “It is a boring job with little intellectual challenges,” diminishes your own accomplishments and portrays your past experiences as weak and unremarkable. The admissions committee might also wonder if you would eventually feel negatively about your MBA experience at their program, and thus, be an ineffective ambassador for the program when you become part of their alumni community.

My advice is to remain truthful but to shift your perspective. It is true that you are very motivated to go from your current situation (point A) to your post-MBA goal (point B), however it is better to emphasize what you have gained or learned at point A and how this will help you get to point B, where you are excited to make a great impact, than to complain excessively about point A.

Filling in details on why you want to get to point B, adding in specifics about how your target MBA program will help get you there and why this is a worthwhile and realistic goal, would boost your chances of admission. Just as importantly, this positive outlook will also make you happier and help you plan the next stages of your life productively.

In conclusion, a positive mindset and tone will help you come across as forward-looking, optimistic, and grateful to the admissions committee. It will also help you focus on your goals and convince the school that you will be a valuable member of their community.

Applying to business school? Call us at 1-800-925-7737 and speak with an MBA admissions expert today, or take our free MBA Admissions Profile Evaluation for personalized advice for your unique application situation! As always, be sure to find us on Facebook, YouTube, Google+ and Twitter.

Written by Edison Cu, a Veritas Prep Head Consultant for INSEAD.

SAT Tip of the Week: Understanding and Utilizing Testing Accommodations on the SAT

SAT Tip of the Week - FullHigh school students want to be as prepared as possible when it’s time to sit down and take the SAT exam. Some students, however, may find themselves less prepared than others – especially if they have a physical disability, medical condition, or learning disability might wonder about the actual process of taking the test. Will they be able to get the assistance they need to do their best on the SAT? The answer is yes.

When it comes to the SAT, testing accommodations are available for students who truly need them. It’s a good idea for students in need of testing accommodations to make their requests as soon as possible so that the College Board has ample time to evaluate the details each request. Let’s examine the process of getting SAT testing accommodations as well as some of the resources available to high school students in need of them:

Who Is Eligible for SAT Accommodations?
In order to be eligible for SAT testing accommodations, a student must have a documented disability. Some examples of medical conditions and disabilities that may qualify a student for testing accommodations are diabetes, epilepsy, cerebral palsy, muscular dystrophy, blindness, deafness, and some learning disabilities.

When the College Board considers a student’s request for testing accommodations, the members look at whether the student uses accommodations in classes at school. The basic question to consider is, “Does the student’s condition impact their ability to take the SAT?” If so, the request for testing accommodations is likely to be approved. For example, if a person has a disability that doesn’t allow them to sit for long periods of time, an accommodation may be made for that student to take a break during the exam. Or a student who is blind can request a Braille test book or even an audio version of the SAT.

Examples of Testing Accommodations for the SAT
The type of testing accommodations a student receives depends on their disability or condition. The Braille test booklet and audio test mentioned above are two examples of SAT testing accommodations. A student who is partially blind may request a magnifying machine or even a test book featuring large print. Alternatively, a student with a documented learning disability may receive an extended amount of time to complete the SAT, while a student with diabetes may be able to pause during the test to take a blood sugar reading or eat something to correct a fluctuation in blood sugar levels without being penalized for stopping the timer on the test. The accommodations given fit the individual situations of each student with a disability or medical condition.

How to Arrange for SAT Accommodations
Getting a testing accommodation for the SAT requires a student to submit a request in writing – they can do this with the help of their guidance counselor at school by submitting the request online. This request must include documentation from the student’s doctor as well as an explanation from the student as to how their disability or condition affects the test-taking process.

How Long Does it Take to Be Approved for SAT Accommodations?
It takes approximately seven weeks for the College Board to review all of a student’s documentation, so if you are a student who requires an SAT accommodation, it would be best to send all of your information in as early as possible. If there is a document missing or the board has a question for you regarding your situation, it’s likely to take longer to approve the request. Students interested in getting accommodations for the SAT should also be sure to note the deadlines for making a request and to submit their information for these requests well in advance.

At Veritas Prep, we provide valuable SAT preparation courses to students who want to submit their best work on this important exam. Each of our professional tutors scored in the top one percent of all students taking the exam, so the strategies and test-taking tips given to Veritas Prep students are coming directly from the experts! Call our offices at Veritas Prep today and learn how our convenient tutoring options can help you do your best on the test.

Are you trying to decide whether to take the SAT or the ACT? Register for our upcoming free online SAT vs. ACT Workshop to gain a better understanding of each test and decide which one is right for you. And, as always, be sure to find us on Facebook, YouTube, Google+ and Twitter!

The Right Way to Communicate with Business School Admissions Committees

Phone InterviewThe business school application process can be full of questions that can be difficult to obtain answers to. Although there is a lot of information publicly available about this general process, many applicants often seek answers that are more specific to their own candidacy and profile. However, with so many incoming applications, it is unrealistic for MBA admissions teams to be expected to service every single inquiry made by an applicant.

Now, this does not mean that admissions teams are not open to addressing questions or concerns an applicant may have, it just puts the onus on the candidate to make sure the inquiry is worthy of an admission officer’s time. Keep in mind, during the business school application process every interaction can be judged and evaluated, so you generally want to make sure if you are reaching out, the information you are looking for is of critical importance to your candidacy.

Here are a few ways it may be appropriate to communicate with the admissions committee during each stage of the admissions process:

Pre-Application Submission:
At this stage, you’ll generally want to leverage your communication with the admissions office in two areas. The first is to gain information about the program that will better inform your application – public settings such as school information sessions, affinity weekends and MBA tours are great places to begin to nurture relationships with representatives from admissions. Creating these relationships will allow you to personalize your future inquiries, if necessary, and will increase the opportunity for you to gain new insights into the school through your dialogue.

The second area surrounds more mission-critical questions. I see these questions as ones that will prevent you from properly completing an aspect of the application, such as transcript issues and other process-oriented problems.

Post-Application Submission:
This stage is largely seen as the “waiting game” phase of the admissions process, but important questions still sometimes arise for candidates. You’ll want to avoid communication during this stage unless it is absolutely critical – avoid questions regarding interview or decision timelines in particular, as these can make you appear too impatient to the admissions committee.

Even questions along the lines of receipt of application materials post-submission really should be discouraged; most of the back-end submission process is so automated that if you submit something you should be confident it was received. Unless a question arises that is crucial to your application, just sit back and relax as you wait to hear back from admissions regarding their decision.

Post Decision:
This is one of the tougher communication periods for applicants. Make sure to begin your communication with admissions after you have received a formal decision. If you’ve been admitted, use your communication to clarify the offer and to potentially inquire about additional funding (especially if you have received other favorable offers from competing programs). If you were denied admission, not much communication is necessary. If you had a strong relationship with someone in admissions, I would recommend you send out a thank you note, especially if you are considering reapplying in the future, and perhaps ask if admissions has any advice for future re-application.

If you were waitlisted, this phase is probably the most important for you. First and foremost, follow the communication guidelines laid out in your waitlist letter. Most programs will accept material updates to your application, so if you have any updates to report such as promotions, raises, GMAT improvements, new leadership opportunities, or other offers, make sure you share this information through the appropriate mechanisms.

In all of your interactions with admissions, you want to be professional and courteous. The better you communicate your respect for the great work the admissions committee does, the more they will be willing to help address your needs.

Applying to business school? Call us at 1-800-925-7737 and speak with an MBA admissions expert today, or take our free MBA Admissions Profile Evaluation for personalized advice for your unique application situation! As always, be sure to find us on Facebook, YouTube, Google+ and Twitter.

Dozie A. is a Veritas Prep Head Consultant for the Kellogg School of Management at Northwestern University. His specialties include consulting, marketing, and low GPA/GMAT applicants. You read more articles by him here.

Quarter Wit, Quarter Wisdom: Using the Standard Deviation Formula on the GMAT

Quarter Wit, Quarter WisdomWe have discussed standard deviation (SD) in detail before. We know what the formula is for finding the standard deviation of a set of numbers, but we also know that GMAT will not ask us to actually calculate the standard deviation because the calculations involved would be way too cumbersome. It is still a good idea to know this formula, though, as it will help us compare standard deviations across various sets – a concept we should know well.

Today, we will look at some GMAT questions that involve sets with similar standard deviations such that it is hard to tell which will have a higher SD without properly understanding the way it is calculated. Take a look at the following question:

Which of the following distribution of numbers has the greatest standard deviation? 

(A) {-3, 1, 2} 
(B) {-2, -1, 1, 2} 
(C) {3, 5, 7} 
(D) {-1, 2, 3, 4} 
(E) {0, 2, 4}

At first glance, these sets all look very similar. If we try to plot them on a number line, we will see that they also have similar distributions, so it is hard to say which will have a higher SD than the others. Let’s quickly review their deviations from the arithmetic means:

For answer choice A, the mean = 0 and the deviations are 3, 1, 2
For answer choice B, the mean = 0 and the deviations are 2, 1, 1, 2
For answer choice C, the mean = 5 and the deviations are 2, 0, 2
For answer choice D, the mean = 2 and the deviations are 3, 0, 1, 2
For answer choice E, the mean = 2 and the deviations are 2, 0, 2

We don’t need to worry about the arithmetic means (they just help us calculate the deviation of each element from the mean); our focus should be on the deviations. The SD formula squares the individual deviations and then adds them, then the sum is divided by the number of elements and finally, we find the square root of the whole term. So if a deviation is greater, its square will be even greater and that will increase the SD.

If the deviation increases and the number of elements increases, too, then we cannot be sure what the final effect will be – an increased deviation increases the SD but an increase in the number of elements increases the denominator and hence, actually decreases the SD. The overall effect as to whether the SD increases or decreases will vary from case to case.

First, we should note that answers C and E have identical deviations and numbers of elements, hence, their SDs will be identical. This means the answer is certainly not C or E, since Problem Solving questions have a single correct answer.

Let’s move on to the other three options:

For answer choice A, the mean = 0 and the deviations are 3, 1, 2
For answer choice B, the mean = 0 and the deviations are 2, 1, 1, 2
For answer choice D, the mean = 2 and the deviations are 3, 0, 1, 2

Comparing answer choices A and D, we see that they both have the same deviations, but D has more elements. This means its denominator will be greater, and therefore, the SD of answer D is smaller than the SD of answer A. This leaves us with options A and B:

For answer choice A, the mean = 0 and the deviations are 3, 1, 2
For answer choice B, the mean = 0 and the deviations are 2, 1, 1, 2

Now notice that although two deviations of answers A and B are the same, answer choice A has a higher deviation of 3 but fewer elements than answer choice B. This means the SD of A will be higher than the SD of B, so the SD of A will be the highest. Hence, our answer must be A.

Let’s try another one:

Which of the following data sets has the third largest standard deviation?

(A) {1, 2, 3, 4, 5} 
(B) {2, 3, 3, 3, 4} 
(C) {2, 2, 2, 4, 5} 
(D) {0, 2, 3, 4, 6} 
(E) {-1, 1, 3, 5, 7}

How would you answer this question without calculating the SDs? We need to arrange the sets in increasing SD order. Upon careful examination, you will see that the number of elements in each set is the same, and the mean of each set is 3.

Deviations of answer choice A: 2, 1, 0, 1, 2
Deviations of answer choice B: 1, 0, 0, 0, 1 (lowest SD)
Deviations of answer choice C: 1, 1, 1, 1, 2
Deviations of answer choice D: 3, 1, 0, 1, 3
Deviations of answer choice E: 4, 2, 0, 2, 4 (highest SD)

Obviously, option B has the lowest SD (the deviations are the smallest) and option E has the highest SD (the deviations are the greatest). This means we can automatically rule these answers out, as they cannot have the third largest SD.

Deviations of answer choice A: 2, 1, 0, 1, 2
Deviations of answer choice C: 1, 1, 1, 1, 2
Deviations of answer choice D: 3, 1, 0, 1, 3

Out of these options, answer choice D has a higher SD than answer choice A, since it has higher deviations of two 3s (whereas A has deviations of two 2s). Also, C is more tightly packed than A, with four deviations of 1. If you are not sure why, consider this:

The square of deviations for C will be 1 + 1+ 1 + 1  + 4 = 8
The square of deviations for A will be 4 + 1 + 0 + 1 + 4 = 10

So, A will have a higher SD than C but a lower SD than D. Arranging from lowest to highest SD’s, we get: B, C, A, D, E. Answer choice A has the third highest SD, and therefore, A is our answer

Although we didn’t need to calculate the actual SD, we used the concepts of the standard deviation formula to answer these questions.

Getting ready to take the GMAT? We have free online GMAT seminars running all the time. And, be sure to follow us on FacebookYouTubeGoogle+, and Twitter!

Karishma, a Computer Engineer with a keen interest in alternative Mathematical approaches, has mentored students in the continents of Asia, Europe and North America. She teaches the GMAT for Veritas Prep and regularly participates in content development projects such as this blog!

Should You Look at Fit or Prestige When Deciding Which Business School to Attend?

scottbloomdecisionsFor the fortunate, one of the most challenging decisions MBA applicants make this time of year is which business school to attend. Receiving an offer of admission to only one school is always great news, but when an applicant is greeted with multiple offers, the joy of admission often quickly turns to the paradox of choice. Indecision often occurs when admits are confronted with choosing between more prestigious MBA programs and those that represent a better personal or professional fit for them.

For some, the choice may be an obvious one – “Of course you should matriculate to the more prestigious program!” Others, however, would immediately choose to attend the program that better aligns with their development goals. Let’s explore some of the reasons why an admit might lean one way or the other.

Choosing Fit?
Think about the core reasons that initially drove your interest in pursuing a graduate business education. Was it to improve your analytical or problem solving skills? Was it to break into a new industry or climb the corporate ladder in your current line of work? Go back to these core desires and remember the real reasons why you are seeking an MBA. If these factors are important to you,then the school with a better fit might be best for you.

Now, this focus on fit can sometimes be forgotten in the face of rankings, which are difficult to overlook. And complicating this decision even further, many admits tend to solicit the advice of under-informed friends and family when trying to decide which MBA program to attend, so well-known programs with great brands that may not be the best fit for a candidate’s development goals are often recommended over somewhat less prestigious programs.

Choosing Prestige?
The goal for many candidates is to go to the most well-known and highly-ranked MBA program possible, so when it comes time to make a decision, it is all about which school has the best brand. Generally, the more reputed programs do tend to offer a better lifetime value and return on investment (ROI). This is because these programs often offer broader alumni networks with better long-term career considerations, particularly for those interested in global career opportunities. However, in many instances, an overall highly-ranked program may be weaker in specific industry and functional areas than lower ranked programs.

The answer to this debate is a difficult one. Admits should take both factors into consideration but strive to pursue the most highly-reputed program – not in absolute terms, but instead in terms of which best address their development needs and post-MBA goals.

Applying to business school? Call us at 1-800-925-7737 and speak with an MBA admissions expert today, or take our free MBA Admissions Profile Evaluation for personalized advice for your unique application situation! As always, be sure to find us on Facebook, YouTube, Google+ and Twitter.

Dozie A. is a Veritas Prep Head Consultant for the Kellogg School of Management at Northwestern University. His specialties include consulting, marketing, and low GPA/GMAT applicants. You read more articles by him here.

3 Practical Life Lessons I Learned From My MBA

ProfessorDuring the last day of any MBA course, your professor will most likely say something along the lines of, “Years from now, if you can use one thing from my class, it would be…” Now I won’t be able to enumerate every single lesson I learned over my time at business school, but these lessons have become part of my mental toolkit, and always come to mind when I evaluate business odds or manage ambiguous human factors.

Here are three of the most useful life lessons that I became very aware of during my time in business school:

1) Build a buffer of time into your day
From my Operations Management course, I learned that in the manufacturing process, buffer zones or “slack time” are critical in ensuring that a delay in one part of production cannot easily cripple the whole chain. This concept has proven to be helpful now in managing day-to-day activities – rather than filling every hour of the day with minute tasks, it is more productive to identify key priorities and create some free time around them. This time can then be used to absorb tasks that unexpectedly take longer than you thought they would, or to spend as additional time for personal interests. Planning out the day like this can greatly reduce your stress and allow new ideas to ferment, making for a more productive and fulfilling life, long-term.

2) You can negotiate for more than you think
From my Negotiations course, I recall that I learned the most common error people make in their dealings is to take too many points as given or fixed and not even bother to try and negotiate them. Thus, they miss out on the potential to further benefit their own organization as well as the party they are negotiating with.

Being more aware of this tendency will encourage you to try negotiating for things you may not have tried for before, which will help open up more business opportunities and deepen your relationships with the people you work with. In addition, it is important to understand that the motivation of the person you are negotiating with is not always exactly the same as that of the unit he is representing, as this will help in the way you approach the conversation.

3) The creative process cannot be forced
In one of my Strategy classes, we discussed the creative process of Grammy Award-winning singer/songwriter Suzanne Vega, best known for her 1987 hit “Luka,” which raised awareness for domestic violence. In this case study, the singer was encountering writer’s block as she was creating her new album and found that to do her best work, she couldn’t be forced to grind it out in the recording studio as many musical artists do – living life and drawing inspiration and stimulation from everyday encounters was the best way to go.

I have found this lesson to be very applicable as I help guide MBA candidates through their business school applications. Applicants tend to maintain their better balance in their lives by continuing with their exercise, hobbies, and vacations, even as they prepare for the GMAT and the business school application process as a whole. Living full, normal lives will keep you refreshed and inspired to work at your peak performance level, and to deliver your best work possible.

Applying to business school? Call us at 1-800-925-7737 and speak with an MBA admissions expert today, or take our free MBA Admissions Profile Evaluation for personalized advice for your unique application situation! As always, be sure to find us on Facebook, YouTube, Google+ and Twitter.

Written by Edison Cu, a Veritas Prep Head Consultant for INSEAD.

SAT Tip of the Week: Making Waves with Pablo

SAT Tip of the Week (4)Welcome back to Hip Hop Month in the SAT Tip of the Week space, where we’re all set to download Kanye’s new album “Life of Pablo” – even a month later – but can’t quite remember what it’s called. Wasn’t it Swish at one point? Maybe Waves? Importantly, if your (beautiful, dark, twisted) Fantasy is to enjoy Graduation because you’re on your way to (early, not late) Registration at the school of your dreams, take an SAT lesson from the College Dropout himself:

The right word usually isn’t the obvious one.

For Kanye, that’s the title of the album: after plenty of debate and deliberation (and beef with Wiz Khalifa), he dropped the “obvious” one-word titles and went with a title that took just about everyone by surprise. He had to dig a little, and whether he’s comparing himself to Pablo Picasso as an artist or Pablo Escobar as a larger-than-life figure, he found some meaning that’s not obvious on the surface but makes sense when you dig a little deeper. And that’s the SAT lesson.

For you, that of course means that when you’re looking at Vocabulary in Context questions on the SAT Reading Section, you’ll be tempted to make a single-word answer. For example, consider this problem from the Official SAT Study Guide:

As used in line 19, “capture” is closest in meaning to:

(A) Control
(B) Record
(C) Secure
(D) Absorb

Likely the most obvious synonym for “capture” in that list is “secure” – if you were to capture a butterfly, for example, you’d secure it in a net or a jar (poke holes, please). But your job isn’t to find the best synonym for “capture” but instead to determine which word would best fit in its place in line 19. And that’s where the Kanye lesson comes in: you have to go back to the passage and the wording around line 19 to find the deeper meaning. Starting a bit above that line, you have the context:

Because these waves are involved in ocean mixing and thus the transfer of heat, understanding them is crucial to global climate modeling, says Tom Peacock, a researcher at the Massachusetts Institute of Technology. Most models fail to take internal waves into account. “If we want to have more and more accurate climate models, we have to be able to capture processes like this,” Peacock says.

With that context in mind, steal another lesson from Kanye West: who does Kanye love the most? Not Kim or North… but himself. And that’s where the “do it yourself” strategy comes in. Remove the word “capture” – before you even look at the answer choices – and think about what word you’d personally put there. You know that the researchers want to better understand those processes, so they want to observe/study/record them. That’s what makes B, “record,” correct.

The problem really has little to do with the word “capture” given in the problem, and everything to do with the context around it. The key is to not be so concerned with the word in the question itself, but rather to treat it as a blank and determine what type of meaning that blank needs to convey. Then you can go to the answer choices, and like Kanye (who used to love this passage about Waves, but now maybe not) you may find deeper meaning and a more-surprising word or phrase to decide upon.

Are you trying to decide whether to take the SAT or the ACT? Register for our upcoming free online SAT vs. ACT Workshop to gain a better understanding of each test and decide which one is right for you. And, as always, be sure to find us on Facebook, YouTube, Google+ and Twitter!

By Brian Galvin.

Breaking Down Changes in the New Official GMAT Practice Tests: Unit Conversions in Shapes

QuadrilateralRecently, GMAC released two more official practice tests. Though the GMAT is not going to test completely new concepts – if the test changed from year to year, it wouldn’t really be standardized – we can get a sense of what types of questions are more likely to be emphasized by noting how official materials change over time. I thought it might be interesting to take these practice tests and break down down any conspicuous trends I detected.

In the Quant section of the first new test, there was one type of question that I’d rarely encountered in the past, but saw multiple times within a span of 20 problems. It involves unit conversions in two or three-dimensional shapes.

Like many GMAT topics, this concept isn’t difficult so much as it is tricky, lending itself to careless mistakes if we work too fast. If I were to draw a line that was one foot long, and I asked you how many inches it was, you wouldn’t have to think very hard to recognize that it would be 12 inches.

But what if I drew a box that had an area of 1 square foot, and I asked you how many square inches it was? If you’re on autopilot, you might think that’s easy. It’s 12 square inches. And you better believe that on the GMAT, that would be a trap answer. To see why it’s wrong, consider a picture of our square:

 

 

 

 

 

We see that each side is 1 foot in length. If each side is 1 foot in length, we can convert each side to 12 inches in length. Now we have the following:

DG blog pic 2

 

 

 

 

 

Clearly, the area of this shape isn’t 12 square inches, it’s 144 square inches: 12 inches * 12 inches = 144 inches^2.

Another way to think about it is to put the unit conversion into equation form. We know that 1 foot = 12 inches, so if we wanted the unit conversion from feet^2 to inches^2, we’d have to square both sides of the equation in order to have the appropriate units. Now (1 foot)^2 = (12 inches)^2, or 1 foot^2 = 144 inches^2.  So converting from square feet to square inches requires multiplying by a factor of 144, not 12.

Let’s see this concept in action. (I’m using an older official question to illustrate – I don’t want to rob anyone of the joy of encountering the recently released questions with a fresh pair of eyes.)

If a rectangular room measures 10 meters by 6 meters by 4 meters, what is the volume of the room in cubic centimeters? (1 meter = 100 centimeters)

A) 24,000
B) 240,000
C) 2,400,000
D) 24,000,000
E) 240,000,000

First, we can find the volume of the room by multiplying the dimensions together: 10*6*4 = 240 cubic meters. Now we want to avoid the trap of thinking, “Okay, 100 centimeters is 1 meter, so 240 cubic meters is 240*100 = 24,000 cubic centimeters.”  Remember, the conversion ratio we’re given is for converting meters to centimeters – if we’re dealing with 240 cubic meters, or 240 meters^3, and we want to find the volume in cubic centimeters, we’ll need to adjust our conversion ratio accordingly.

If 1 meter = 100 centimeters, then (1 meter)^3 = (100 centimeters)^3, and 1 meter^3 = 1,000,000 centimeters^3. [100 = 10^2 and (10^2)^3 = 10^6, or 1,000,000.] So if 1 cubic meter = 1,000,000 cubic centimeters, then 240 cubic meters = 240*1,000,000 cubic centimeters, or 240,000,000 cubic centimeters, and our answer is E.

Alternatively, we can do all of our conversions when we’re given the initial dimensions. 10 meters = 1000 centimeters. 6 meters = 600 centimeters. 4 meters  = 400 centimeters. 1000 cm * 600 cm * 400 cm = 240,000,000 cm^3. (Notice that when we multiply 1000*600*400, we can simply count the zeroes. There are 7 total, so we know there will be 7 zeroes in the correct answer, E.)

Takeaway: Make sure you’re able to do unit conversions fluently, and that if you’re dealing with two or three-dimensional space, that you adjust your conversion ratios accordingly. If you’re dealing with a two-dimensional shape, you’ll need to square your initial ratio. If you’re dealing with a three-dimensional shape, you’ll need to cube your initial ratio. The GMAT is just as much about learning what traps to avoid as it is about relearning the elementary math that we’ve long forgotten.

*GMATPrep question courtesy of the Graduate Management Admissions Council.

Plan on taking the GMAT soon? We have GMAT prep courses starting all the time. And be sure to follow us on FacebookYouTubeGoogle+ and Twitter!

By David Goldstein, a Veritas Prep GMAT instructor based in Boston. You can find more articles written by him here.

Quarter Wit, Quarter Wisdom: An Innovative Use of the Slope of a Line on the GMAT

Quarter Wit, Quarter WisdomLet’s continue our discussion on coordinate geometry today.

The concept of slope is extremely important on the GMAT – it is not sufficient to just know how to calculate it using (y2 – y1)/(x2 – x1).

In simple terms, the slope of a line specifies the units by which the y-coordinate changes and the direction in which it changes with each 1 unit increase in the x-coordinate. If the slope (m) is positive, the y-coordinate changes in the same direction as the x-coordinate. If m is negative, however, the y-coordinate changes in the opposite direction.

For example, if the slope of a line is 2, it means that every time the x-coordinate increases by 1 unit, the y-coordinate increases by 2 units. So if the point (3, 5) lies on a line with a slope of 2, the point (4, 7) will also lie on it. Here, when the x-coordinate increases from 3 to 4, the y-coordinate increases from 5 to 7 (by an increase of 2 units). Similarly,  the point (2, 3) will also lie on this same line – if the x-coordinate decreases by 1 unit (from 3 to 2), the y-coordinate will decrease by 2 units (from 5 to 3). Since the slope is positive, the direction of change of the x-coordinate will be the same as the direction of change of the y-coordinate.

Now, if we have a line where the slope is -2 and the point (3, 5) lies on it, when the x-coordinate increases by 1 unit, the y-coordinate DECREASES by 2 units – the point (4, 3) will also lie on this line. Similarly, if the x-coordinate decreases by 1 unit, the y-coordinate will increase by 2 units. So, for example, the point (2, 7) will also lie on this line.

This understanding of the concept of slope can be very helpful, as we will see in this GMAT question:

Line L and line K have slopes -2 and 1/2 respectively. If line L and line K intersect at (6,8), what is the distance between the x-intercept of line L and the y-intercept of line K? 

(A) 5
(B) 10
(C) 5√(5)
(D) 15
(E) 10√(5)

Method 1: The Traditional Approach
Traditionally, one would solve this question like this:

The equation of a line with slope m and constant c is given as y = mx + c. Therefore, the equations of lines L and K would be:

Line L: y = (-2)x + a
and
Line K: y = (1/2)x + b

As both these lines pass through (6,8), we would substitute x=6 and y=8 to get the values of a and b.

Line L: 8 = (-2)*6 + a
a = 20

Line K: 8 = (1/2)*6 + b
b = 5

Thus, the equations of the 2 lines become:

Line L: y = (-2)x + 20
and
Line K: y = (1/2)x + 5

The x-intercept of a line is given by the point where y = 0. So, the x-intercept of line L is given by:

0 = (-2)x + 20
x = 10

This means line L intersects the x-axis at the point (10, 0).

Similarly, the y-intercept of a line is given by the point where x = 0. So, y-intercept of line K is given by:

y = (1/2)*0 + 5
y = 5

This means that line K intersects the y-axis at the point (0, 5).

Looking back at our original question, the distance between these two points is given by √((10 – 0)^2 + (0 – 5)^2) = 5√(5). Therefore, our answer is C.

Method 2: Using the Slope Concept
Although the using the traditional method is effective, we can answer this question much quicker using the concept we discussed above.

Line L has a slope of -2, which means that for every 1 unit the x-coordinate increases, the y-coordinate decreases by 2. Line L also passes through the point (6, 8). We know the line must intersect the x-axis at y = 0, which is a decrease of 8 y-coordinates from the given point (6,8). If y increases by 8, according to our slope concept, x will increase by 4 to give 6 + 4 = 10. So the x-intercept of line L is at (10, 0).

Line K has slope of 1/2 and also passes through (6, 8). We know the this line must intersect the y-axis at x = 0, which is a decrease of 6 x-coordinates from the given point (6,8). This means y will decrease by 1/2 of that (6*1/2 = 3) and will become 8 – 3 = 5. So the y-intercept of line K is at (0, 5).

The distance between the two points can now be found using the Pythagorean Theorem – √(10^2 + 5^2) = 5√(5), therefore our answer is, again, C.

Using the slope concept makes solving this question much less tedious and saves us a lot of precious time. That is the advantage of using holistic approaches over the more traditional approaches in tackling GMAT questions.

Getting ready to take the GMAT? We have free online GMAT seminars running all the time. And, be sure to follow us on FacebookYouTubeGoogle+, and Twitter!

Karishma, a Computer Engineer with a keen interest in alternative Mathematical approaches, has mentored students in the continents of Asia, Europe and North America. She teaches the GMAT for Veritas Prep and regularly participates in content development projects such as this blog!

How International MBA Applicants Should Talk About Their Home Countries in Their Essays

Europeean MBA ProgramsInternational MBA candidates often struggle to find the right balance in discussing their home countries in their business school application essays.

Neglecting to discuss your home country completely could result in a lack of proper context for your achievements and challenges. Too often, applicants miss the opportunity to differentiate themselves from the pool of similarly accomplished applicants by not being personal enough in sharing stories regarding the family values that influenced their drive and motivation. Painting a vivid picture of your home country in your MBA application will allow the Admissions Committee to understand your personal qualities on a deeper level.

Executed perfectly, explaining where you have come from will turn you into the candidate that everyone in Admissions roots for.  For example, a candidate from a war-torn country would do well to describe striking images of the devastation they faced and complement this with the use of some numbers, appealing to both the Admissions Committee’s emotional and logical perspectives. Establishing this foundation would make his or her essay describing the motivation to pursue an MBA to go back and home and improve the lives of his or her countrymen feel more real.

On the other hand, using too much space and too many statistics could make your essay sound like an economic report or a college-level reaction paper – losing its focus and personal touch. Writing in this way will definitely not help you stand out from the typical applicant from your country. Just like in a blockbuster action movie, the country should serve as a colorful backdrop to the hero’s (applicant’s) story of struggles and triumphs, with most of the writing surrounding the hero’s compelling character development. Make sure you are the hero of your own story – the level of detail you mention about your home country should serve a clear purpose by linking directly back to your own experiences, goals and well-substantiated passion.

It is also essential to set up the proper economic or cultural context in cases where the past schools you attended or companies you joined are not as well-known to those outside of your home country. Mentioning selectivity figures, industry rank, market share, and highlighting complexity of roles becomes important here and will allow the Admissions Committee to appreciate the scale of your achievements. It will also allow them to use this information to evaluate how fast your career has progressed and how your leadership potential stacks up against other applicants.

Finally, it is important to be careful to avoid sounding too critical or too proud of your home country. Being too critical could be perceived as ungrateful, pessimistic, or even arrogant. On the other hand, you also do not want come across as being too sure that your ways are superior to those of other nations, as you want to display open-mindedness and a genuine interest to learn from others.

Keep these tips in mind as you write your business school application essays and you’ll be sure to strike the right balance with the Admissions Committee.

Applying to business school? Call us at 1-800-925-7737 and speak with an MBA admissions expert today, or take our free MBA Admissions Profile Evaluation for personalized advice for your unique application situation! As always, be sure to find us on Facebook, YouTube, Google+ and Twitter.

Written by Edison Cu, a Veritas Prep Head Consultant for INSEAD.

How Does Citizenship Factor Into Your MBA Candidacy?

Passport Number 2MBA programs around the world are currently experiencing a renaissance in terms of the geographic makeup of their student bodies. With the world seemingly shrinking in so many other aspects, it should come as no surprise that business schools are coming to represent a global melting pot of sorts. As MBA programs seek to construct classes of students that better represent this changing global paradigm, the weight of evaluating candidates in a global way has grown in importance.

Many business school applicants are beginning to understand how important this is as well, and are actively embracing dual citizenship and other displays of multicultural experiences. So, how exactly does citizenship factor into your MBA candidacy? Let’s explore a few considerations.

Overall, citizenship is much less important to Admissions Committees than the experiences that are native to your cultural upbringing. True diversity is represented through these experiences and less so through the designation on your passport.

Unfortunately, many applicants suffer from the misguided belief that their citizenship is the only title of importance when considering cultural diversity. Thus, members of over-represented groups often pursue dual citizenships under the belief that it will set them apart from their peers. I would caution against this approach – your life experiences and where the majority of them have occurred will play a bigger factor in your application than citizenship in a country you have not been as active in. (Now, if you have conducted material business or experienced personally impactful moments in other countries, this will certainly be valued within your application package. It will not, however, erase the fact that you are a member of an over-represented group.)

So if Admissions Committees do not factor citizenship into their decisions, how can having citizenship benefit you? Citizenship does, in fact, factor prominently into financial aid and funding plans for your graduate school education. In many countries, there are restrictions on access to scholarships and other funding measures based on one’s citizenship, so the ability to secure citizenship in the region in which you are planning to attend business school can be advantageous for financial reasons.

In addition, citizenship can also factor into your ability to secure employment post-graduation. Many countries will limit immediate and long-term employment opportunities for non-citizens. This means if you are considered an international student by the school that you intend to attend, it extremely important to understand the restrictions of that school’s nation. These work restrictions have become increasingly difficult for international students, so the power of multiple citizenships has certainly increased in recent years.

Keep these factors in mind as you plan out your strategy for applying to MBA programs around the world.

Applying to business school? Call us at 1-800-925-7737 and speak with an MBA admissions expert today, or take our free MBA Admissions Profile Evaluation for personalized advice for your unique application situation! As always, be sure to find us on Facebook, YouTube, Google+ and Twitter.

Dozie A. is a Veritas Prep Head Consultant for the Kellogg School of Management at Northwestern University. His specialties include consulting, marketing, and low GPA/GMAT applicants. You can find more of his articles here.

How to Get Off a Business School’s Waitlist if You Already Have a Strong Application

SAT/ACTThe business school waitlist is, for most applicants, a confusing place to be. Many MBA candidates go into the application process aware of where their profile lands in relation to other candidates – especially when it comes to the publically available data points such as GPA and GMAT scores – so when these candidates land on the waitlist, although they are disappointed, they at least have a general idea on what they should do to address holes in their application in the future.

In a strange twist, the more complete a candidate’s profile appears on paper, the harder it is to develop a strategy to get off the waitlist. This oddity exists because without an obviously low GMAT score, shaky GPA, or unimpressive work experience, it can be challenging to put those waitlist updates to work.

Most programs will encourage waitlisted candidates to submit application updates to the Admissions Office or to a specific waitlist manager, so the more proactive a candidate is with sharing these updates, the better their chances of eventual admission. It may be sometimes difficult to identify these problem areas, but looking critically at every aspect of your submitted application is a good place to start.

Let’s explore a few issues that are common in the type of profiles referenced above:

Fit
Are you sure you effectively showcased your fit with the program? With admission into top programs becoming increasingly more difficult, it is critical to show a wild enthusiasm for the program you are applying to. It’s not necessarily a deal breaker, but if the Admissions Committee does not feel your eagerness to join their student community, it can make your application feel pretty ordinary. Sharing a minor update that clarify your fit can address concerns in this area for admissions.

Interest
Have you expressed a strong enough interest in your target program? I know this question may seem fairly obvious, considering you submitted an application, but Admissions Committees are looking for candidates that really showcase a strong attention to their particular program both on paper and in person. Connecting with current students and even alumni of relevant clubs on campus while on the waitlist can be a strong sign of interest, especially if you are able to secure a letter of support from one of those students or alumni.

Career Goals
Were the career goals you communicated clear and achievable? Maybe even more importantly, were you effectively able to share how this particular program would be able to help you reach these goals? A major element of how Admissions Committees will review your career goals is based on the belief that their program will be able to help you succeed in the future. If your goals are not clearly articulated or feel unrealistic, then this could be the source of your waitlist placement. Providing the Admissions Office with updates that showcase your progression towards your career goals, along with a re-clarification of these goals if necessary, is a good approach to proactively getting off of the waitlist.

Applying to business school? Call us at 1-800-925-7737 and speak with an MBA admissions expert today, or take our free MBA Admissions Profile Evaluation for personalized advice for your unique application situation! As always, be sure to find us on Facebook, YouTube, Google+ and Twitter.

Dozie A. is a Veritas Prep Head Consultant for the Kellogg School of Management at Northwestern University. His specialties include consulting, marketing, and low GPA/GMAT applicants. You can find more of his articles here.

SAT Tip of the Week: 2 Phones

SAT Tip of the Week (3)Welcome back to Hip Hop Month in the SAT Tip of the Week space, where we’re firm believers in the art of telecommunications. As Kevin Gates has been informing the world the last couple months, it’s important to have two phones (and maybe two more) to get the job (or various jobs) done. Which jobs is he talking about?  The SAT Math Sections of course!

When tackling the SAT Math Sections, you need to have “two phones,” or multiple strategies.  Some are “the plug” – plugging in answer choices, or at least using them as assets – and some are “the load” – just rolling up your sleeves and doing a load of math to grind out the answer. And of course you should always have other strategies (two more phones, and then even more phones, as the chorus goes): picking your own numbers, using process of elimination, guessing intelligently, etc.

So, let’s talk about some of the “phones” you’ll want at your disposal on the SAT Math Sections.

“The Plug”
Notice that KG leads with “The Plug” before “The Load” – of course everyone on test day should be ready to do some algebra and arithmetic, but the savviest of test-takers are very ready to use the answer choices to their advantage, and look for every opportunity to save time by doing so. Consider the problem:

Jack is now 14 years older than Bill. If in 10 years Jack will be twice as old as Bill, how old is Jack?

(A) 14
(B) 16
(C) 18
(D) 28

Here you could set up the algebra, or you could go to “the plug” and plug in the answer choices to see which one fits the setup. Since Jack is 14 years older than Bill, that means that Bill would be (for each answer choice):

(A) 0
(B) 2
(C) 4
(D) 14

Now look to see which pairing, when each is increased by 10, would have one double the other:

24 and 10 (no)
26 and 12 (no)
28 and 14 (yes), so C is the correct answer.

Here you could go to the “load” and slog through some algebra, but seeing that you can just plug in the answer choices allows you to turn your mind off for a few seconds and answer the question that way.

“The Load”
Often, you’ll see that there isn’t a shortcut available for an SAT problem or that the math itself is straightforward enough that you should just do it. That’s why it pays to have a second “phone” – each is going to be valuable in different circumstances. For example, consider the problem:

If 5x + 6 = 10, what is the value of 10x + 3?

(A) 4
(B) 9
(C) 11
(D) 20

Here, you’d do just as much work going from the answers to the problem (you’d have to take each answer, then set that equal to 10x + 3, then solve for x…) so you might as well load up on algebra and do it the straightforward way:

5x + 6 = 10
5x = 4
x = 4/5

So take that and put it in the new equation:

10(4/5) + 3 = 8 + 3 = 11, so C is our correct answer.

More than 2 Phones?
As Kevin Gates is careful to note, often 2 strategies (or phones) just aren’t enough. And for those looking to score above 700 on the SAT Math Sections, you’ll almost certainly want to have more tools in your toolkit. Another involves picking your own numbers to test the algebra. Consider the problem:

The expression (5x – 2)/(x + 3) is equivalent to which of the following?

(A) (5 – 2)/3
(B) 5 – (2/3)
(C) 5 – 2/(x + 3)
(D) 5 – 17/(x + 3)

Here, you’ll be glad you have another phone in your pocket. Since the given expression and the right answer have to be equivalent regardless of the value of x, you can pick your own value of x and see which answer matches. Rather than go through an ugly load of algebra, you can pick an x that makes the math clean (try x = -2, for example, since all the denominators are x + 3; if x = -2, then you’ve set the denominators to 1 and made the arithmetic really simple):

If that’s true, then the given expression becomes (5(-2) – 2)/(-2 + 3), which ends up at -12. Clearly A and B don’t match, so you can then plug in to the answer choices. For D, the correct answer, you’ll see a fit:

5 – 17(/-2 + 3) = 5 – 17 = -12, which matches the given expression, so D is right. And by using another strategy, you were able to skip some ugly algebra and save time for other problems where you need to have time for “the load” of algebra.

So remember, on the SAT Math section, you always have more than 2 phones – and that’s essential if you want to be an SAT baller. While you’re hustling on the SAT Math grind, remember those multiple “phones” in your toolkit, and your score will be the next thing that’s ring, ring, ring.

Still need to take the SAT? We run a free online SAT prep seminar every few weeks. And be sure to find us on Facebook, YouTube, Google+ and Twitter!

By Brian Galvin.

Use These 2 Kobe Bryant Strategies to Address Failures in Your MBA Essays

kobeBasketball superstar Kobe Bryant ended his 20-year NBA career last Wednesday, and many fans of the sport are using this time to reflect on, and learn from, his past highlights. Kobe’s career can be used for more than advice pertaining to basketball – we’ve imagined how he might have used his past accomplishments and failures to answer some common MBA application essay questions.

In this entry, we will discuss the ideal way Kobe could use the Failure Essay if he were to apply to business school. A staple of many MBA essay requirements and interviews, this prompt asks the applicant to relate a story of personal or professional failure that impacted his or her life. In answering this question, an applicant needs to demonstrate genuine reflection and self-awareness, while also showcasing leadership potential. Let’s examine how Kobe might answer a question like this:

Address the “Elephant in the Room”
In Kobe’s case, instead of mentioning missed shots, bad plays, or lost games as failures, it would be best to instead identify the failure to maintain a longer-term partnership with fellow superstar Shaquille O’Neal as his major failure. Aside from being an interesting topic – with rich layers and dimensions – this “failure” would help Kobe address concerns about his ability to collaborate with peers. As with all MBA essays, we want the Failure Essay to be interesting, relatable and vivid. Sharing specific details such as an argument that escalated, or personal thoughts from both superstars’ perspectives, will make for a powerful read for the Admissions Committee.

For example, Kobe could identify the double-edged sword of his incredible competitiveness and obsessive work ethic at that stage in his career, and contrast this compassionately with Shaq’s fun-loving personality and the physical challenges he faced due to his unique size, mobility, and the focus of opponents to wear him out. Displaying a high-level perspective and understanding will show the maturity and honesty that can serve him well post-MBA.

Lesson: Using an interesting situation, or identifying an “elephant in the room” in your profile, will serve the dual purpose of both addressing a red flag in your application, and displaying your self-awareness and personal development, all of which the Admissions Committee will want to see.

Show What You Learned
After setting up the context of the failure, Kobe can then highlight how he put the lessons he learned from this failure to good use. He can cite how this failure taught him to better manage relationships with teammates who shared some of Shaq’s qualities, such as the immensely talented Pau Gasol, the fun-loving Lamar Odom, and the physically dominant but oft-injured Andrew Bynum. Kobe can also share how learning from his previous experience with Shaq helped him build better relationships with his teammates overall and leverage their unique personalities to lead the Lakers to two more NBA championships.

Providing specific details as to how he built these bonds through sharing interests and communicating better with his team (whether through bonding over family activities, or by brushing up on his Spanish) would provide real insight into his world and allow the Admissions Committee to relate to him and appreciate his growth. Displaying his ability to lead and collaborate with talented peers would also prove that there is more to Kobe than just his basketball skills, and that he is ready to succeed in his future business ventures and social causes.

Lesson: Choose to discuss qualities or realizations that relate to your failure and would be transferable to future endeavors, rather than limited to a single situation. You can identify how your failure taught you to channel your inherent traits and use specific tools and techniques to proactively address potential problems. Show how you learned to leverage your personal qualities and background to collaborate towards common goals so that the Admissions Committee can conclude that the failure you experienced has helped put you in a better position for future success.

Applying to business school? Call us at 1-800-925-7737 and speak with an MBA admissions expert today, or take our free MBA Admissions Profile Evaluation for personalized advice for your unique application situation! As always, be sure to find us on Facebook, YouTube, Google+ and Twitter.

Written by Edison Cu, a Veritas Prep Head Consultant for INSEAD.

Coordinate Geometry: Solving GMAT Problems With Lines Crossing Either the X-Axis or the Y-Axis

Quarter Wit, Quarter WisdomToday let’s learn about the cases in which lines on the XY plane cross, or do not cross, the x- or y-axis. Students often struggle with questions such as this:

Does the line with equation ax+by = c, where a,b and c are real constants, cross the x-axis?

What concepts will you use here? How will you find whether or not a line crosses the x-axis? What conditions should it meet? Think about this a little before you move ahead.

We know that most lines on the XY plane cross the x-axis as well as the y-axis. Even if it looks like a given line doesn’t cross either of these axes, eventually, it will if it has a slope other than 0 or infinity.

QWQW pic 1

 

 

 

 

 

Note that by definition, a line extends infinitely in both directions – it has no end points (otherwise it would be a line “segment”). We cannot depict a line extending infinitely, which is why we will only show a small section of it. Ideally, a line on the XY plane should be shown with arrowheads to depict that it extends infinitely on both sides, but we often omit them for our convenience. For instance, if we try to extend the example line above, we see that it does, in fact, cross the x-axis:

QWQW pic 2

 

 

 

 

 

So what kind of lines do not cross either the x-axis or the y-xis? We know that the equation of a line on the XY plane is given by ax + by  + c = 0. We also know that if we want to find the slope of a line, we can use the equation y = (-a/b)x – c/b, where the slope of the line is -a/b.

A line with a slope of 0 is parallel to the x-axis. For the slope (i.e. -a/b) to be 0, a must equal 0. So if a = 0, the line will not cross the x-axis – it is parallel to the x-axis. The equation of the line, in this case, will become y = k. In all other cases, a line will cross the x-axis at some point.

Similarly, it might appear that a line doesn’t cross the y-axis but it does at some point if its slope is anything other than infinity. A line with a slope of infinity is parallel to the y-axis. For -a/b to be infinity, b must equal 0. So if b = 0, the line will not cross the y-axis. The equation of the line in this case will become x = k. In all other cases, a line will cross the y-axis at some point.

Now, we can easily solve this official question:

Does the line with equation ax+by = c, where a, b and c are real constants, cross the x-axis?

Statement 1: b not equal to 0

Statement 2: ab > 0

As we discussed earlier, all lines cross the x-axis except lines which have a slope of 0, i.e. a = 0.

Statement 1: b not equal to 0

This tells statement us that b is not 0 – which means the line is not parallel to y-axis – but it doesn’t tell us whether or not a is 0, so we don’t know whether the line is parallel to the x-axis or crosses it. Therefore, this statement alone is not sufficient.

Statement 2: ab>0

If ab > 0, it means that neither a nor b is 0 (since any number times 0 will equal 0). This means the line is parallel to neither x-axis nor the y-xis, and therefore must cross the x-axis. This statement alone is sufficient and our answer is B.

Hopefully this has helped clear up some coordinate geometry concepts today.

Getting ready to take the GMAT? We have free online GMAT seminars running all the time. And, be sure to follow us on FacebookYouTubeGoogle+, and Twitter!

Karishma, a Computer Engineer with a keen interest in alternative Mathematical approaches, has mentored students in the continents of Asia, Europe and North America. She teaches the GMAT for Veritas Prep and regularly participates in content development projects such as this blog!

GMAT Tip of the Week: Death, Taxes, and the GMAT Items You Know For Certain

GMAT Tip of the WeekHere on April 15, it’s a good occasion to remember the Benjamin Franklin quote: “In this world nothing can be said to be certain, except death and taxes.” Franklin, of course, never took the GMAT (which didn’t become a thing until a little ways after his own death, which he accurately predicted above). But if he did, he’d have plenty to add to that quote.

On the GMAT, several things are certain. Here’s a list of items you will certainly see on the GMAT, as you attempt to raise your score and therefore your potential income, thereby raising your future tax bills in Franklin’s honor:

Integrated Reasoning
You will struggle with pacing on the Integrated Reasoning section. 12 prompts in 30 minutes (with multiple problems per prompt) is an extremely aggressive pace and very few people finish comfortably. Be willing to guess on a problem that you know could sap your time: not only will that help you finish the section and protect your score, it will also help save your stamina and energy for the all-important Quant Section to follow.

Word Problems
On the Quantitative Section, you will certainly see at least one Work/Rate problem, one Weighted Average problem, and one Min/Max problem. This is good news! Word problems reward repetition and preparation – if you’ve put in the work, there should be no surprises.

Level of Difficulty
If you’re scoring above average on either the Quant or Verbal sections, you will see at least one problem markedly below your ability level. Because each section contains several unscored, experimental problems, and those problems are delivered randomly, probability dictates that every 700+ scorer will see at least one problem designed for the 200-500 crowd (and probably more than that). Do not try to read in to your performance based on the difficulty level of any one problem! It’s easy to fear that such a problem was delivered to you because you’re struggling, but the much more logical explanation is that it was either random or difficult-but-sneakily-so, so stay confident and move on.

Data Sufficiency
You will see at least one Data Sufficiency problem that seems way too easy to be true. And it’s probably not true: make sure that you think critically any time the testmaker is directly baiting you into a particular answer.

Sentence Correction
You will have to pick an answer that you don’t like, that doesn’t catch the ear the way you’d write or say it. Make sure that you prioritize the major errors that you know you can routinely catch and correct, and not let the GMAT bait you into a decision you’re just not qualified to make.

Reading Comprehension

You will see a passage that takes you a few re-reads to even get your mind to process it. Remember to be question-driven and not passage-driven – get enough out of the passage to know where to look when they ask you a specific question, but don’t worry about becoming a subject-matter expert on the topic. GMAT passages are designed to be difficult to read (particularly toward the end of a long test), so know that your competitive advantage is that you’ll be more efficient than your competition.

Critical Reasoning
You will have the opportunity to make quick work of several Critical Reasoning problems if you notice the tiny gaps in logic that each argument provides, and if you’re able to notice the subtle-but-significant words that make conclusions extra specific (and therefore harder to prove).

Few things are certain in life, but as you approach the GMAT there are plenty of certainties that you can prepare for so that you eliminate surprises and proceed throughout your test day confidently. On this Tax Day, take inventory of the things you know to be certain about the GMAT so that your test day isn’t so taxing.

Getting ready to take the GMAT? We have free online GMAT seminars running all the time. And as always, be sure to follow us on Facebook, YouTubeGoogle+ and Twitter!

By Brian Galvin.

Will Involvement in a Failed Company Hurt Your Chances of Being Accepted to Business School?

Letter of RecommendationIdeally, business school applicants would all be able to fill their admissions essays with great work stories showcasing contributions to their company’s success. Creating breakthrough products, transforming the company through original innovations, leading entry into a new market, generating record profits, and other similar accomplishments would all look great on an MBA application.

In reality, however, work circumstances and probabilities do not always play out perfectly – products can miss, campaigns can fail, companies can collapse, civil wars can break out, and global economic crises can ensue no matter how brilliant and dedicated an employee or entrepreneur is.

How, then, does an MBA applicant who went through these failures present himself or herself to be qualified for an MBA? Or how can a seemingly “ordinary” applicant elevate himself or herself from the pool of other applicants who may have more impressive success stories to tell? If this sounds like your predicament, showcase these three attributes to really make your application stand out:

Big-Picture Lessons
Recessions, industry down-cycles, and political crises can all contribute greatly to the failure of a company. However, there is a silver lining – not only do these circumstances provide the environmental context that removes blame from the applicant, but they also offer an interesting backdrop to highlight learning experiences that would make for rich classroom discussions.

If you experienced a business failure due to reasons like this, identifying the major lessons you learned will help display a high-level awareness of world events and their business impact, a quality that can be used to strengthen future leadership potential. At the company level, witnessing the impact of lost profits and jobs can provide you with firsthand experience of its effect on employee morale, corporate culture, and the real human concerns affected by difficult business decisions.

Personal Skills Gained
When struggling companies are forced to cut costs, this often results in the remaining employees handling more tasks, putting in more hours, and taking on bigger responsibilities, and all amidst a tense work environment. As such, employees lower on the corporate ladder may be able to have more involvement in reevaluating the whole business model, product lines, or distribution channels, and become part of the decision as to whether their firm should pull-out or stay in the market.

This accelerated exposure – usually reserved for very senior levels – can be a very difficult experience, however it can also be a good source of learning and growth in terms of skills, knowledge, and maturity. Explaining your business’ failure by showcasing the skills you gained from it can show the admissions committee that you know how to make the most of a difficult position and learn from your work environment.

Character Displayed
A family business may fail at an heir’s turn or a start-up may fall victim to a recession, but these “failures” may also be an opportunity to highlight character traits such as resilience and resourcefulness. Creating new opportunities or adjusting to a totally new environment will show adaptability and determination, which are strong qualities for a future global leader that admissions committees will pick up on. Even if the failed enterprise is directly attributable to you, displaying the honest self-awareness and accountability to identify areas for personal development – including how a particular MBA program will help correct these flaws – can create a compelling and authentic application that will help you stand out as a candidate.

So, will your involvement in a failed business completely ruin your chances of admission to business school? No! Explain the failure of the venture through the aforementioned traits, and the admissions committee will be able to see how a bad situation led to the development of a great MBA candidate.

Applying to business school? Call us at 1-800-925-7737 and speak with an MBA admissions expert today, or take our free MBA Admissions Profile Evaluation for personalized advice for your unique application situation! As always, be sure to find us on Facebook, YouTube, Google+ and Twitter.

Written by Edison Cu, a Veritas Prep Head Consultant for INSEAD.

Is an EMBA or PTMBA Right for You?

Part Time or Full Time MBAMany candidates struggle with deciding on which MBA format is a better fit for their career development needs. This decision can become even more complicated when factoring in choosing between part-time learning options like an Executive MBA (EMBA) program or a Part-Time MBA (PTMBA) program.

Both of these will allow you to simultaneously continue your professional career while pursuing your MBA, however, these programs generally attract different types of students and offer somewhat different benefits than traditional MBAs.

Work Experience
The “E” in EMBA says it all – applicants to this program are typically more senior in their organization and with more lengthy work experience than their full-time and part-time MBA counterparts, so in general, there is a significant age and experience difference between the three program types. Coupled with the seniority EMBA classmates and the quality of the interactions, this makes EMBA programs a big draw for many older applicants.

Cost
The cost of an EMBA can be significantly less expensive than a PTMBA. Part of this stems from the fact that most applicants will have the tab picked up by their employer. Now this is common as well for many PTMBA students but more common for EMBAs. The reduced price tag can be a big draw for those paying out of pocket for their MBA.

Resources
Schools pull out all the stops to support EMBA programs, which makes sense given the hefty price tag. These programs will offer the best professors, learning spaces, dining halls, and materials. Which is contrary to the PTMBA program which generally offers similar resources as their FT counter parts.

Network
The network you will build in an executive program also will be different. With part time programs the student community is fairly transient given the students are splitting their time between work and school. The residential component of the EMBA program allows students to be more realistic about dedicating their efforts to the program for the days they are on campus. This better allows students to bond and get to know their fellow classmates given this additional time for greater interaction. Also, this network is obviously of people who are very senior in their organization, which makes for great collaborative opportunities outside of the classroom.

As always research is the key so go beyond secondary research and connect with current students and admission officers to get a feel for what program best addresses your development needs.

Applying to business school? Call us at 1-800-925-7737 and speak with an MBA admissions expert today, or take our free MBA Admissions Profile Evaluation for personalized advice for your unique application situation! As always, be sure to find us on Facebook, YouTube, Google+ and Twitter.

Dozie A. is a Veritas Prep Head Consultant for the Kellogg School of Management at Northwestern University. His specialties include consulting, marketing, and low GPA/GMAT applicants. You can find more of his articles here.

SAT Tip of the Week: Reading Like Rihanna Means Less “Work”

SAT Tip of the Week (2)As we return to Hip Hop Month in the SAT Tip of the Week space, let’s turn out attention to Reading. And who better to teach Reading than RiRi herself? Ironically, her current hit “Work” provides probably the best example of how to reduce the amount you have to work on SAT Reading passages.

Quick: get the song “Work” stuck in your head (or get it playing on your phone). What’s the most notable thing about the lyrics she’s singing? For most of the chorus, she’s not even singing them. “Work work work work work” becomes “Wu wu wu wu wu.” She’s going through the motions and ignoring most of the words, glossing them over (almost like she herself is thinking “let’s just get past this and get to the Drake part”). She’ll fully articulate “work” and “dirt” the first time or two she says it, but then she’ll play the “you already know what I’m saying so let’s just get through it with as little effort as possible” part.

Oddly enough, that’s how you should approach Reading on the SAT. It’s just too much work to try to process every single word, so like Rihanna you’ll want to skim through portions that aren’t essential to your understanding and then lock in when it’s truly important. Rihanna’s genius on “Work” is that she rises to the occasion when she has to deliver, but she’s comfortable glossing over what doesn’t matter. Here’s how you can read like Riri.

Focus when:
1) You see transition/structural words like “however” and “therefore.” These words signal what the author is doing. “However” (or conversely, but, on the other hand…) tells you that the direction of the argument is changing. What comes after that is going to refute what came before it, and that’s usually where an argument or thesis takes shape (for example, an old theory seemed true, BUT new research shows that it has flaws). “Therefore” (or thus, consequently, etc.) typically shows what the author’s point is (whether it’s the main point of the passage or just of that paragraph). And “also” (or furthermore, moreover, additionally) means that the author is adding more evidence for a point. Those signals are good places to focus, because that’s where the author is telling you what she’s trying to accomplish with the sentences around it.

2) You see topic sentences. Not all SAT passages are well-organized, but when they are you’ll generally see topic sentences at the beginning or end of a paragraph and of the passage. These help you to determine the content and direction of what you’re reading.

3) There is italicized text at the top of the passage. This section is crucial – many SAT passages are excerpts from larger articles/chapters/books, and they can start quite abruptly without context. The italicized portions give you that context and allow you to have a feel for what you’re about to read so that it doesn’t come out of nowhere.

Ultimately your goal in reading the passage is to take 1-2 minutes to identify the author’s general point (why did she pick up the pen?) and to have a good feel for where you’d return to find answers (for example, the first paragraph or two may be about the initial theory for why something happens, the middle portion of the passage is about the research that disproved it, and the end talks about what new research the author proposes). If you can come away with a good understanding of “the author is advocating for X, and I know where to go if they ask me about Y” you’ve done your job with little work and you have plenty of time to focus on the questions.

Skim when:
1) The passage gets into dense details. These can be confusing or just labor-intensive, taking time to read, but details are only important if a question asks about them. Every passage will contain several details that don’t have questions about them, so save your time and energy and only focus on the major themes during your first read.

2) You’ve identified the purpose of a paragraph or section, and just want to make sure that the author doesn’t change gears. This is Rihanna’s “Work” at its finest…it’s not that she’s skipping the word “work” entirely, but that she’s saving her energy to get to “what’s new” in the verses.  She addresses each word, but casually, and that’s how you should skim. If you know what the author is doing, let your eyes run over each word but only lock in when you see that something is changing. If the author, for example, is listing 3-4 examples, you can skim that. But when the author says “however, there are exceptions” that means that something has changed. What was true isn’t always true, and that’s new information that’s probably important.

Remember, the Riri Reading method doesn’t mean that you’re skipping words entirely – it’s just that you can selectively choose which words/sentences are worthy of effort. Reading an entire passage is a lot of work (work, work, work, work), but if you’re choosy about where you expend that energy and time, you can save way more than FourFive Seconds per passage and be on your way to your dream school. Just remember to bring an Umbrella.

Still need to take the SAT? We run a free online SAT prep seminar every few weeks. And be sure to find us on Facebook, YouTube, Google+ and Twitter!

By Brian Galvin.

How to Prepare for College-Level Writing

writing essayI’ve written previously on how to make the transition to college writing once you’re already in college, and that’s important. What’s also important is using your time in high school to prepare yourself early for the rigors of college writing.

I know that when you’re in high school, college can seem light-years away. It’s hard to see how your high school assignments will really help you be a better student in college, but trust me, they can. If you use your time in high school right, especially in regards to writing, you can get a strong head start towards producing college-quality work.

Here are 3 tips that you can start using right away to prepare for your future college writing:

1) Create your own topics on assignments.
Or at the very least, alter the prompts given to you. Often times, papers in college will either have no prompt or will have very generic prompts – you have to be creative enough to come up with your own question and then have enough evidence to answer it.

In high school, paper topics are often clearly delineated, and students just go along with what their teacher says. While this might be easy to do, it won’t help you down the road. By practicing going out of your way to confect unique topics that you can explore in depth, you won’t be intimidated when the only instruction your college professor gives you is, “Go write a paper on the book we just read!” (Just be sure to clear this creative topic change with your teacher before submitting your paper!)

2) Ask your high school teachers for feedback, even if you did well on an assignment.
Many high school students just look at the grade on their essays and then move on with their lives. However, knowing that you got an A or a B doesn’t let you know how you can continue to improve your writing. By looking at your teacher’s feedback, you’ll start to see your strengths and weaknesses in writing and be able to raise the quality of your work. What’s more, you can go above and beyond by meeting with your teacher to ask for ways that your writing could better fit college-level writing. After all, your teachers have gone through college already and it’s their job to get your ready for the rigors of the next phase of your academic journey.

3) Focus on argument, not exposition.
In high school, you can sometimes get by with writing a paper focused on who did what, what an idea means, or what techniques someone used. This is exposition (or description) and it is only one part of writing. Good college papers make arguments – they don’t just explain what a character did or what an author’s idea is. So, even if a high school assignment asks you only a simple question, it’s good practice to go above and beyond to make a more complex argument. This mode of thinking will prepare you for the rigorous analysis you must do in college.

I know it can be tempting to just skate by on high school assignments. However, there are certain ways you can use your time in high school to solidly prepare yourself for college writing, and doing this will be well worth your time. Even if this requires more ingenuity and diligence from you now, it will set you up for abundant future success in college and beyond.

Do you still need help with your college applications? We can help! Visit our College Admissions website and register to attend one of our FREE Online College WorkshopsAnd as always, be sure to follow us on Facebook, YouTube, Google+, and Twitter!

By Aidan Calvelli.

Quarter Wit, Quarter Wisdom: Be Tolerant Towards Pronoun Ambiguity on the GMAT

Quarter Wit, Quarter WisdomWe encounter many different types of pronoun errors on the GMAT Verbal Section. Some of the most common errors include:

Using a pronoun without an antecedent. For example, the sentence, “Although Jack is very rich, he makes poor use of it,” is incorrect because “it” has no antecedent. The antecedent should instead be “money” or “wealth.”

Error in matching the pronoun to its antecedent in number and gender. For example, the sentence, “Pack away the unused packets, and save it for the next game,” is incorrect because the antecedent of “it” is referring to “unused packets,” which is plural.

Using a nominative/objective case pronoun when the antecedent is possessive. For example, the sentence, “The client called the lawyer’s office, but he did not answer,” is incorrect because the antecedent of “he” should be referring to “lawyer,” but it appears only in the possessive case. Official GMAT questions will not give you this rule as the only decision point between two options.

But note that the rules governing pronoun ambiguity are not as strict as other rules! Pronoun ambiguity should be the last decision point for eliminating an option after we have taken care of SV agreements, tenses, modifiers, parallelism etc.

Every sentence that has two nouns before a pronoun does not fall under the “pronoun ambiguity error” category. If the pronoun agrees with two nouns in number and gender, and both nouns could be the antecedent of the pronoun, then there is a possibility of pronoun ambiguity. But in other cases, logic can dictate that only one of the nouns can really perform (or receive) an action, and so it is logically clear to which noun the pronoun refers.

For example, “Take the bag out of the car and get it fixed.”

What needs to get fixed? The bag or the car? Either is possible. Here we have a pronoun ambiguity, but it is highly unlikely you will see something like this on the GMAT.

A special mention should be made here about the role nouns play in the sentence. Often, a pronoun which acts as the subject of a clause refers to the noun which acts as a subject of the previous clause. In such sentences, you will often find that the antecedent is unambiguous. Similarly, if the pronoun acts as the direct object of a clause, it could refer to the direct object of the  previous clause. If the pronoun and its antecedent play parallel roles, a lot of clarity is added to the sentence. But it is not necessary that the pronoun and its antecedent will play parallel roles.

Let’s look at a different example, “The car needs to be taken out of the driveway and its brakes need to get fixed.”

Here, obviously the antecedent of “its” must be the car since only it has brakes, not the driveway. Besides, the car is the subject of the previous clause and “its” refers to the subject. Hence, this sentence would be acceptable.

A good rule of thumb would be to look at the options. If no options sort out the pronoun issue by replacing it with the relevant noun, just forget about pronoun ambiguity. If there are options that clarify the pronoun issue by replacing it with the relevant noun, consider all other grammatical issues first and then finally zero in on pronoun ambiguity.

Let’s take a quick look at some official GMAT questions involving pronouns now:

Congress is debating a bill requiring certain employers provide workers with unpaid leave so as to care for sick or newborn children. 

(A) provide workers with unpaid leave so as to 
(B) to provide workers with unpaid leave so as to 
(C) provide workers with unpaid leave in order that they 
(D) to provide workers with unpaid leave so that they can 
(E) provide workers with unpaid leave and 

The answer is (D). Why? The correct sentence would use “to provide” (not “provide”) and “so that” (not “so as to”), and should read, “Congress is debating a bill requiring certain employers to provide workers with unpaid leave so that they can care for sick or newborn children.” In this sentence, “they” logically refers to “workers.” Even though “they” could refer to employers, too, after you sort out the rest of the errors, you are left with (D) only, hence answer must be (D).

Let’s look at another question:

While depressed property values can hurt some large investors, they are potentially devastating for homeowners, whose equity – in many cases representing a life’s savings – can plunge or even disappear.

(A) they are potentially devastating for homeowners, whose
(B) they can potentially devastate homeowners in that their
(C) for homeowners they are potentially devastating, because their
(D) for homeowners, it is potentially devastating in that their
(E) it can potentially devastate homeowners, whose

The correct answer is (A). The correct sentence should read, “While depressed property values can hurt some large investors, they are potentially devastating for homeowners, whose equity – in many cases representing a life’s savings – can plunge or even disappear.” The pronoun “they” logically refers to “depressed property values.” Both the pronoun and its antecedent serve as subjects in their respective clauses, so the pronoun antecedent is quite clear.

One more question:

Although Napoleon’s army entered Russia with far more supplies than they had in their previous campaigns, it had provisions for only twenty-four days. 

(A) they had in their previous campaigns 
(B) their previous campaigns had had 
(C) they had for any previous campaign 
(D) in their previous campaigns 
(E) for any previous campaign

The correct answer is (E). The correct sentence should read, “Although Napoleon’s army entered Russia with far more supplies than for any previous campaign, it had provisions for only twenty-four days.”

The pronoun “it” logically refers to “Napolean’s army” and not Russia. Both the pronoun and its antecedent serve as subjects in their respective clauses, so the pronoun antecedent is quite clear. Note that the pronoun and its antecedent are a part of the non-underlined portion of the sentence so we don’t need to worry about the usage here but it strengthens our understanding of pronoun ambiguity.

Getting ready to take the GMAT? We have free online GMAT seminars running all the time. And, be sure to follow us on FacebookYouTubeGoogle+, and Twitter!

Karishma, a Computer Engineer with a keen interest in alternative Mathematical approaches, has mentored students in the continents of Asia, Europe and North America. She teaches the GMAT for Veritas Prep and regularly participates in content development projects such as this blog!

GMAT Tip of the Week: Ernie Els, The Masters, and the First Ten GMAT Questions

GMAT Tip of the WeekAt this weekend’s The Masters golf tournament, the most notable piece of news isn’t the leaderboard, but rather the guy least likely to get near it. Ernie Els set a record with a nine-stroke, quintuple bogey on his first hole of the tournament, effectively ending his tournament minutes after he began it. And in doing so, he also provided you with some insight into the “First Ten Questions” myth that concerns so many GMAT test-takers.

With 18 holes each day for 4 days (Quick mental math! 18×4 is the same as 9×8 – halve the first number and double the second to make it a calculation you know well – so that’s 72 holes), any one hole shouldn’t matter. So why was Els’ first hole such a catastrophe?

It forces him to be nearly perfect the rest of the tournament, because he’s playing at such a disadvantage.

Meanwhile, Day 1 leader Jordan Spieth shot par (“average”) his first few holes and Rory McElroy, in second place at the end of the day, bogeyed (one stroke worse than average) a total of four holes on day one. The leaders were far from perfect themselves – another important lesson for the GMAT – but by avoiding a disastrous start, they allowed themselves plenty of opportunities to make up for mistakes.

And that brings us to the GMAT. Everyone makes mistakes on the GMAT, and that often happens regardless of difficulty level. So if you’re shooting for a top score and you miss half of the first ten questions, you have a few problems to contend with.

For starters, you have to “get hot” here soon and go on a run of correct answers. Secondly, you now have a lot fewer problems available to go on that hot streak (there are only 27 more Quant or 31 more Verbal questions after the first ten). And finally, the scoring/delivery algorithm doesn’t see you as “elite” yet so the questions are going to be a little easier and less “valuable,” meaning that you’ll need to “get hot” both to prove to the computer that you belong at the top level and then to demonstrate that you can stay there.

That’s the Ernie Els problem – regardless of how good you are, you’re probably going to make mistakes, so when you force yourself to be nearly perfect on the “easier” problems you end up with a tricky standard to live up to. Even if you really should be scoring at the 700-level, you don’t have a 100% probability of answering every 500-level problem correctly. That may well be in the 90%+ range, and maybe your likelihood at the 600 level is 75 or 80%. Getting 7, 8, 9 problems right in a row is a tall order as you dig your way out of that hole.

So the first 10 problems ARE important, but not because they have that much more power over the rest of the test – it’s because the more of them you miss, the more unrealistically perfect you have to be. The key is to “not blow it” on the first 10, rather than to “do everything you can to get them all right,” which is the mindset that holds back plenty of test-takers.

Again take the Masters: the leaderboard on Thursday night is never that close to the leaderboard on Sunday evening. Very often it’s someone who starts well, but is a few strokes off the lead the first few days, who wins. The GMAT is similar: a lot can happen from questions 11 through 37 (or 41), so by no means can you celebrate victory a quarter of the way through. Your goal shouldn’t be to be perfect, but rather to get off to a good start. Getting  7 questions right and having sufficient time to complete the rest of the section is much, much better than getting 9 right but forcing yourself to rush later on.

Essentially, as Ernie Els and thousands of GMAT test-takers have learned the hard way, you won’t win it in the first quarter, but you can certainly lose it there.  As you budget your time for the first 10 questions of each section, take a few extra seconds to double-check your work and make sure you’re not making egregious mistakes, but don’t over-invest at the expense of the critical problems to come.

Getting ready to take the GMAT? We have free online GMAT seminars running all the time. And as always, be sure to follow us on Facebook, YouTubeGoogle+ and Twitter!

By Brian Galvin.

Use This Tip to Avoid Critical Reasoning Traps on the GMAT

GMAT TrapsWhen you’ve been teaching test prep for a while you begin to be able to anticipate the types of questions that will give your students fits. The reason isn’t necessarily because these questions are unusually hard in a conventional sense, but because embedded within these problems is a form of misdirection that is nearly impossible to resist. It’s often worthwhile to dissect these problems in greater detail to reveal some deeper truths about how the test works.

Here is a problem I knew I’d be asked about often the moment I saw it:

W, X, Y, and Z represent distinct digits such that WX * YZ = 1995. What is the value of W?

  1. X is a prime number
  2. Z is not a prime number

The first instinct for most students I work with is, “I’m told nothing about W in either statement. There have to be many possibilities, so each statement alone is not sufficient.” When this thought occurs to you during the test, it’s important to resist it. By this, I don’t mean that you should simply assume that you’re wrong – there likely will be times when your first instincts are correct. Instead, what I mean is that you should take a bit more time to prove your assumptions to yourself. If there really are many workable scenarios, it won’t take much time to find them.

First, whenever there is an unusually large number and we’re dealing with multiplication, we want to take the prime factorization of that large number so that we can work with that figure’s basic building blocks and make it more manageable. In this case, the prime factorization of 1995 is 3 * 5 * 7 * 19. (First we see that five is a factor of 1995 because 1995 = 5*399. Next, we see that 3 is a factor of 399, because the digits of 399 sum to a multiple of 3. Now we have 5 * 3 * 133. Last, we know that 133 = 7 * 19, because if there are twenty 7’s in 140, there must be nineteen 7’s in 133.)

Now we can use these building blocks to form two-digit numbers that multiply to 1995. Here is a list of two-digit numbers we can assemble from those prime factors:

3 * 5 = 15

3 * 7 = 21

3 * 19 = 57

5 * 7 = 35

5 * 19 = 95

These are our candidates for WX and YZ. There aren’t many possibilities for multiplying two of these two-digit numbers and still getting a product of 1995. In fact, there are only two: 95*21 = 1995 and 35*57 = 1995. But we’re told that each digit must be unique, so 35*57 can’t work, as two of our variables would equal 5. This means that we know, before we even look at the statements, that our two two-digit numbers are 95 and 21 – we just need to know which is which.

It’s possible that WX = 95 and YZ = 21, or WX = 21 and YZ = 95. That’s it. What at first appeared to be a very open-ended question actually has very few workable solutions. Now that we’ve established our sample space of possibilities, let’s examine the statements:

Statement 1: If we know X is prime, we know that WX cannot be 21, as X would be 1 in this scenario and 1 is not a prime number. This means that WX has to be 95, and thus we know for a fact that W = 9. This statement alone is sufficient to answer the question.

Statement 2: If we know that Z is not prime, we know that YZ cannot be 95, as Z would be 5 in this scenario and 5 is, of course, prime. Thus, YZ is 21 and WX is 95, and again, we know for a fact that W is 9, so this statement alone is also sufficient.

The answer is D, either statement alone is sufficient to answer the question, a result very much at odds with most test-taker’s initial instincts.

Takeaway: the GMAT is engineered to wrong-foot test-takers, using our instincts against us.  Rather than simply assuming our instincts are wrong – they won’t always be – we want to be methodical about proving our intuitions one way or another by confirming them in some instances, refuting them in others. By being thorough and methodical, we reduce the odds that we’ll step into one of the traps the question-writer has set for us and increase the odds that we’ll answer the question correctly.

Plan on taking the GMAT soon? We have GMAT prep courses starting all the time. And be sure to follow us on FacebookYouTubeGoogle+ and Twitter!

By David Goldstein, a Veritas Prep GMAT instructor based in Boston. You can find more articles by him, here.

SAT Tip of the Week: Hotline Bling Is an SAT Thing

SAT Tip of the Week (1)It’s Hip Hop Month in the “SAT Tip of the Week” space, where you’ll learn that that Drake is a university in Iowa (where The Motto is, of course, Veritas) as well as a rapper from Toronto, and that the Common app is a great way to prepare for your Future. So let’s start with Drake, because even if your SAT score started at the bottom, now you’re here. If you’re reading this…it’s NOT too late.

It’s been hard to go anywhere over the last year without hearing Drake’s recent hit “Hotline Bling” (which was not only a monster #1 hit but also a Super Bowl commercial), so there’s a fair chance that as you drive to go take the SAT you’ll get Hotline Bling stuck in your head. And that’s exactly what you want.

Why?

Because, as the song goes, when you hear that Hotline Bling, that can only mean one thing. And there are several “Hotline Blings” on the SAT; recognizing them can save you plenty of time and dramatically raise your accuracy.

Hotline Bling: SAT Math
Positive vs. Negative
For example, on the Math sections, you might see a statement like x > 0 or y < 0. Hotline bling! Greater than zero or less than zero as definitions in an SAT Math problem can only mean one thing: you’d better check the sign of your answer (positive vs. negative) because greater than 0 means positive and less than 0 means negative, and putting those definitions in problems is a huge signal that positive/negative matters.

The expression is equivalent to…
Whenever you see the words “expression” and “equivalent” in an SAT Math problem – usually “The expression (given expression) is equivalent to which of the following?” or “Which of the following is equivalent to the expression shown above?” – that’s a Hotline Bling. That can only mean one thing: you’re going to have to use the answer choices.

Either you’ll try to make the given expression look more like the answer choices (for example, if the answer choices don’t have parentheses or a denominator, you’ll need to work on the given expression to get rid of the parentheses and denominator) or you’ll be able to pick your own numbers. Consider the following example, which appears courtesy the Official SAT Study Guide:

The expression (5x-2)/(x+3) is equivalent to which of the following?
A) (5-2)/3
B) 5 – (2/3)
C) 5 – (x)/(x+3)
D) 5 – (17)/(x+3)

Notice that you HAVE TO use the answer choices here. Without them, you don’t know what to start doing with the given expression. And even with them, it may seem difficult to get a 5 all alone away from the fraction (like answer choices B, C, and D).

That can only mean one thing: this is a great problem on which to try picking your own numbers. If you were to say, for example, that x = -2 (making your math easy by setting the whole denominator of the original equation equal to 1), you’d know that you have [5(-2) – 2]/(-2+3). That means that you have -12 as the value of the given expression when x = -2, so now you can test the answer choices. Clearly A and B do not work, so then check C and D. C then equals 4 while D = -12, so only choice D spits out the right answer when numbers are involved.

Hotline Bling to the rescue – the words “equivalent” and “expression” can only mean one thing…you’d better get the answer choices involved, and there’s a high likelihood that this is a pick your own numbers problem.

Hotline Bling: SAT Writing
Singular vs. Plural
Whenever the answer choices for a Writing problem include the singular and plural form of the same pronoun or verb (“it” vs. “they”; “is” vs. “are”) that can only mean one thing: you need to find the subject and match it up singular or plural.

Homophones
Whenever the answer choices include multiple words that sound the same (they’re / their / there; it’s / its; you’re / your / yore), that can only mean one thing: the test is checking whether you know which version of the word means what. The apostrophe in those words is for a contraction (they are / it is / you are), so if you’re not trying to form a contraction, eliminate it. These problems should be quick, free points.

Addition/Subtraction
Whenever a question asks whether the author should add or delete a sentence, that can only mean one thing: it’s not a matter of personal preference, but a matter of understanding what the author is trying to accomplish. In these cases, you must read the context of that paragraph and determine what the author’s purpose is, then gauge whether adding or deleting anything would be true to that purpose. These questions aren’t about style at all – they’re about the author’s intent, so you have to read a wider scope of information to make sure you know what that purpose is.

Hotline Bling: SAT Reading
Vocab-in-context
Whenever a question begins with, “As used in line…” (e.g. “As used in line 68, ‘hold’ most nearly means…”) that can only mean one thing: you have to understand the meaning of the sentence that the line number points you to, and not just rely on your knowledge of the word itself. These questions always include multiple answer choices that could mean the same thing as that word itself, but only one that you’d actually use in that sentence. So when you see those questions, don’t try to answer them on answer choices alone; instead, think about what word you’d use in that sentence and find a word that closely matches yours.

Ultimately, Hotline Bling on the SAT is all about recognizing knee-jerk reactions: if “___” appears, that can only mean one thing, so you know exactly what to do next. The list above isn’t a list of all SAT Hotline Blings, but a good start. As you study for the SAT, pay attention to all those Hotline Blings that tell you the one thing you should do next, and soon enough, you’ll be thinking, “Ever since I left the city you…” as you think about your high school friends and foes from far away in a dorm room at your dream school.

Still need to take the SAT? We run a free online SAT prep seminar every few weeks. And be sure to find us on Facebook, YouTube, Google+ and Twitter!

By Brian Galvin.

Are There Set Rules for Answering GMAT Sentence Correction Questions?

SAT WorryThe other day I was working with a tutoring student on Sentence Correction when she expressed some understandable frustration: when we did Quantitative questions together, she said, she felt like she could rely on ironclad rules that never varied (the rules for exponents don’t change depending on the context of the problem, for example), but when we did Sentence Correction, the relevant rules at play in a given question seemed less obvious.

Was there a way, she wondered, to view Sentence Correction with the same unwavering consistency with which we view Quantitative questions? While I understand her frustration, the answer is, alas, an unqualified “no.” English is far too complex for us to boil down Sentence Correction to a series of stimulus-response reflexes. Context and logic always matter.

To see why we can’t go on autopilot during Sentence Correction questions, consider the following problem:

Not only did the systematic clearing of forests in the United States create farmland (especially in the Northeast) and gave consumers relatively inexpensive houses and furniture, but it also caused erosion and very quickly deforested whole regions. 

A) Not only did the systematic clearing of forests in the United States create farmland (especially in the Northeast) and gave consumers relatively inexpensive houses and furniture, but it also

B) Not only did the systematic clearing of forests in the United States create farmland (especially in the Northeast), which gave consumers relatively inexpensive houses and furniture, but also

C) The systematic clearing of forests in the United States, creating farmland (especially in the Northeast) and giving consumers relatively inexpensive houses and furniture, but also

D) The systematic clearing of forests in the United States created farmland (especially in the Northeast) and gave consumers relatively inexpensive houses and furniture, but it also

E) The systematic clearing of forests in the United States not only created farmland (especially in the Northeast), giving consumers relatively inexpensive houses and furniture, but it

If you fully absorbed the class discussion about the importance of parallel construction, you probably noticed an indelible parallel marker here: “not only.” Okay, you think. Any time I see not only x, I know but also y should show up later in the sentence.

This isn’t wrong, per se, but the construction “not only/but also” is only applicable in certain circumstances. So before we jump to the erroneous conclusion that this is the construction that is called for in this sentence, let’s examine its underlying logic in more detail.

Take the simple example, “On the way to work, I not only got stuck in traffic, but also….” Think about your expectations for what should come next in this sentence – getting stuck in traffic was the first unfortunate thing to happen to this hapless subject, and we’re expecting a second unfortunate event in the latter part of the sentence. Not only/but also is appropriate when we’re talking about similar things.

Now consider the construction. “On the way to work, I got stuck in traffic, but…” Now our expectations are markedly different – the second half of the sentence is going to contrast with the first. We’re expecting something different.

Let’s go back to our GMAT sentence. We’re comparing the consequences of the clearing of forests. First, the clearing “created farmland and gave consumers inexpensive houses” (good things). However, it also “caused erosion and deforested the region” (bad things). Because we’re comparing two very different consequences, the construction “not only/but also” – which is used to compare similar things – is inappropriate. Now we can safely eliminate answers A, B and E.

That leaves us with C and D. First, let’s examine C. Notice there’s a participial modifier in the middle of the sentence set off by commas, and a sentence should still be logical if we remove these modifiers. We would then be left with, “The systematic clearing of forests in the United States, but also caused erosion and very quickly deforested whole regions.” This clearly doesn’t work – the initial subject (the systematic clearing) has no verb, so C is wrong. This leaves us with answer choice D, which is the correct answer.

Takeaway: though noticing common constructions on Sentence Correction problems can be helpful, we can never go on autopilot. Ultimately, context, logic, and meaning will always come into play. Before you select any answer, always ask yourself if the sentence is logically coherent before you select it. If you want to ace the GMAT, turning off your brain is not an option.

*GMATPrep question courtesy of the Graduate Management Admissions Council.

Plan on taking the GMAT soon? We have GMAT prep courses starting all the time. And be sure to follow us on FacebookYouTubeGoogle+ and Twitter!

By David Goldstein, a Veritas Prep GMAT instructor based in Boston. You can read more articles by him here.

Improve Your Speed on the ACT Math Section Using Math Fluidity

stopwatch-620Speed is key on the Math Section of the ACT – you have only 60 minutes to complete 60 questions. However, this doesn’t mean you should spend one minute on each question, as not every question on in this section is created equal. Many questions (particularly Questions 1-30) are problems that you can solve in under one minute. In fact, you should aim to solve Questions 1-30 in less than 30 minutes – around 25 minutes is the goal.

That’s because some of the later questions, particularly the questions from Questions 40-60, will require more than a minute. Basically, you want to put aside extra time for the tricky questions at end of the section by completing the easier, earlier questions as quickly as possible. If you do Questions 1-30 in 25 minutes, then you have 35 minutes to do Questions 31-60.

One way to improve your speed on the Math Section is to develop what I call “math fluidity.” That means recognizing how common patterns, formulas and special rules can help you solve any particular problem. To illustrate, take a look at the following triangle problem:

Triangle ABC (below) is an equilateral triangle with side of length 4. What is the area of triangle ABC?

ACT Triangle 1

 

 

 

The first step to any geometry problem is writing down what relevant common formula you’ll need to solve the problem; i.e. whenever I’m asked the area of a triangle, at the top of my work space I’ll write:

A = (b*h)/2

Having the formula in front of you will be helpful because right away, it’s clear that although we have some information, we don’t have all the information we need to solve this problem – we have the base of the triangle (4), but not the height. Since the height of an equilateral triangle always goes from one angle to the opposite side, where it forms two 90-degree angles, drawing the height of an equilateral triangle creates two identical triangles, as shown below:

ACT Triangle 2

 

 

 

Many students would now conclude that they need the Pythagorean theorem to solve for the height (that line bisecting the equilateral triangle). This is where math fluidity comes in. Although you could use the Pythagorean theorem, it’s much faster to instead recognize what type of triangle you are dealing with.

Whenever you split an equilateral triangle in half, you create two 30-60-90 triangles. These are also called “special right triangles” because they always follow the rule that the shortest side is always “x,” the side opposite the 60-degree angle is always x√3, and the hypotenuse is always 2x. See the triangle below:

ACT Triangle 3

 

 

 

So, rather than spend any time solving for the height of the our triangle by using the Pythagorean Theorem, recognize that because the hypotenuse is 4 and the base is 2 (of either of the smaller triangles), and because the triangle is a right triangle, the height must be 2√3. Therefore, the area of the larger triangle is  (2√3)(4)(1/2), which equals 4√3.

Instantly recognizing that the two smaller triangles are 30-60-90 triangles only saves a little bit of time – if you can regularly shave off 20 seconds on question after question by recognizing special rules or how best to apply formulas, you’ll accrue saved time that can later be spent on harder math questions. Speaking of which, math fluidity also applies to tricky questions – similar to what we previously saw, recognition will break down hard questions into easier, faster steps.

So, let’s take a look at a more difficult question. Note, this next example is especially relevant for students shooting for 99th percentile or perfect scores. Although many students can solve the following question if given enough time, few students can solve it quickly enough to get it correct on the ACT. Here’s the problem:

In triangle ABC below, angle BAE measures 30 degrees. What is the value of angle AED minus angle ABE?

A) 30ACT Triangle 4
B) 60
C) 90
D) 120
E) 150

 

Although there are several ways to solve this problem, math fluidity will help with whatever approach you choose. As I mentioned earlier, it is always best to start by writing down a relevant formula, as it will include what information you have and what information you need. In this case, I’m looking for AED-ABE. Because I’ve also been given the measure of angle BAE, I’ll write down:

BAE = 30 and BAE + ABE = AED

Here’s where math fluidity comes in; the second formula is based off a theorem that you probably learned (and then forgot!) in your geometry class. I do recommend (re)memorizing it for the ACT as follows: a measure of an exterior angle of a triangle is equal to the sum of the measures of the two non-adjacent interior angles.

ACT Triangle 5Are you drawing a blank? If so, take a moment to think about why that statement is true. If the smaller two angles of a right-angle triangle, as shown at left, are 40 and 50, then if we extend a line as shown to form the adjacent exterior angle x, then x + 50 = 180, so x = 130.

 

Also, 40 + 50 + 90 = 180, since the sum of interior angles of a triangle always add up to 180. So, if x + 50 = 180, and  40 + 50 + 90 = 180, then x+ 50 = 40 + 50 + 90.

Removing the 50 from both sides, we can conclude that x = 40 + 90, or x (the adjacent  exterior angle of one interior angle) is equal to the sum of the other two interior angles.

Now, returning to our original problem:

If BAE = 30 and BAE + ABE = AED, then:

30 + ABE = AED

AED – ABE = 30

Therefore, our answer is A, 30.

Still need to take the ACT? We run a free online ACT prep seminar every few weeks. And be sure to find us on Facebook, YouTube, Google+ and Twitter!

By Rita Pearson