The question asks: When two-digit integer 'q' is divided by 9, the remainder is 4. If 'q' is a multiple of 7, which of the following could be the units digit of 'q'?

A) 0
B) 1
C) 5
D) 7
E) 9

Although I answered "E)" correctly, I chose this answer partly because I was confused and I was unsure about the meaning of "units digit of 'q'" in the question. Since we're talking about an integer that is divisible by 9 and a multiple of 7, I decided to multiply 9 by 7, which was 63. Then I added the digits 6 and 3 together to come up with my desperate guess.

q is a 2 digit number
q must be 4 higher than a multiple of 9
q is a multiple of 7.

The 2-digit multiples of 7 are 14, 21, 28, 35, 42, 49, 56, 63, 70, 77, 84, 91, and 98.
(You wouldn't really need to write all of these out, but I show them so you can see what I'm talking about.)

Look for one that is 4 higher than a multiple of 9.
(The multiples of 9 are 9, 18, 27, 36, 45, 54, 63, 72, 81, 90, and 99)

The one that works is 49.
The units digit (ones digit) of 49 is 9.

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