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 Post subject: Arithemtic II Question 72Posted: Sat Mar 26, 2011 12:06 am

Joined: Fri Mar 25, 2011 11:53 pm
Posts: 2
Question 72 on page 88.

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 Post subject: Re: Arithemtic II Question 72Posted: Sun Mar 27, 2011 7:36 am

Joined: Thu Feb 12, 2009 6:32 pm
Posts: 497
The key here is to look at the units digits.
If you look closely, you'll notice that we have a situation where triangle * square = square.
Thus, we know that triangle must be equal to 1. (It helps to know that triangle * square is less than 10, as they tell us in the problem)
This narrows our answer choices down to A, D, and E.
A is ruled out because we know that the dist must be different, and two ones don't count as different.

Thus, we want to test 21 and 32.

21 * 12 = 252 ==> this seems to fit the pattern. Notice that the square here represents a 2, and that the answer has 2's as the hundreds and units digit, as in square-diamond-square.

31 * 13 = 403 ==> this one doesn't fit the pattern. We want something that looks like square-diamond-square, and 403 has different digits in the hundreds and units places.

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 Post subject: Re: Arithemtic II Question 72Posted: Tue May 03, 2011 12:02 pm

Joined: Fri Mar 11, 2011 2:39 pm
Posts: 2
once we get to answer choices D and E is there no shorter way to figure out than actually doing the math and plugging in the numbers?

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 Post subject: Re: Arithemtic II Question 72Posted: Tue May 03, 2011 4:14 pm

Joined: Thu Feb 12, 2009 6:32 pm
Posts: 497
we need to do the multiplication to make the comparison between 252 and 403

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