If k and m are positive integers, does k/m = 3/13?

(1) k is a prime number greater than 10.

(2) m is divisible by 3

Source: www.gmatprepnow.com

Answer: A

## If k and m are positive integers, does k/m = 3/13?

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Brent@GMATPrepNow wrote: ↑Mon Aug 01, 2022 8:18 amIf k and m are positive integers, does k/m = 3/13?

(1) k is a prime number greater than 10.

(2) m is divisible by 3

Source: www.gmatprepnow.com

Answer: A

**Given: k and m are positive integers**

**Target question:**

**Does k/m = 3/13?**

Key concept: If k/m = 3/13, then k must be a positive multiple of 3, and m must be a positive multiple of 13.

So, for example, it could be the case that k = 3 & m = 13, or k = 6 & m = 26, or k = 9 & m = 39, and so on . . .

**Statement 1: k is a prime number greater than 10**

If k is a prime number greater than 10, then k cannot be a positive multiple of 3, which means k/m cannot equal 3/13.

So, the answer to the target question is NO, k/m does not equal 3/13

Statement 1 is SUFFICIENT

**Statement 2: m is divisible by 3**

There are several values of k and m that satisfy statement 2. Here are two:

Case a: k = 1 and m = 3, in which case, the answer to the target question is NO, k/m does not equal 3/13

Case b: k = 9 and m = 39, in which case, the answer to the target question is YES, k/m = 3/13

Since we can’t answer the target question with certainty, statement 2 is NOT SUFFICIENT

**Answer: A**