*p*and

*q*are positive integers, and the remainder obtained when

*p*is divided by

*q*is the same as the remainder obtained when

*q*is divided by

*p*, which of the following is a possible value of

*pq*?

(A) 62

(B) 55

(C) 42

(D) 36

(E) 24

Subscribe to:
Post Comments (Atom)

- Ariel Goldberg
- My name is Ariel Goldberg and I have been a GMAT tutor for eight years. I have taken the GMAT more than twenty times and scored into the 99th percentile; I like to share my GMAT knowledge with everybody. One of the things I like is to write GMAT quant questions that do reflect the changes in the test. The questions sold by some prep services are outdated in that they reflect the GMAT of three or four years ago, before Pearson took over. So that is where I come in, I provide people with good, real-looking GMAT questions.

Answer 36

ReplyDeletep = x + kq

ReplyDeleteq = x (mod p)

q = p - kq (mod p)

q(k+1) = 0 (mod p)

Similarly, p(m+1) = 0 (mod q)

So, p = q.

This comment has been removed by the author.

ReplyDelete