If \(r\) and \(s\) are positive integers, is \(r + s\) even?

(1) \(r\) is even.

(2) \(s\) is even.

Answer: C

Source: Official Guide

## If \(r\) and \(s\) are positive integers, is \(r + s\) even?

##### This topic has expert replies

- [email protected]
- GMAT Instructor
**Posts:**16185**Joined:**Mon Dec 08, 2008 6:26 pm**Location:**Vancouver, BC**Thanked**: 5254 times**Followed by:**1268 members**GMAT Score:**770

## Timer

00:00

## Your Answer

**A**

**B**

**C**

**D**

**E**

## Global Stats

**Given: r and s are positive integers**

**Target question:**

**Is r + s even?**

**Statement 1: r is even.**

Since we have no information about s, we cannot determine whether r + s is even

Since we cannot answer the target question with certainty, statement 1 is NOT SUFFICIENT

**Statement 2: s is even**

Since we have no information about r, we cannot determine whether r + s is even

Since we cannot answer the target question with certainty, statement 2 is NOT SUFFICIENT

**Statements 1 and 2 combined**

Statement 1 tells us that r is EVEN

Statement 2 tells us that s is EVEN

Since EVEN + EVEN = EVEN, we know that r + s is EVEN

Since we can answer the target question with certainty, the combined statements are SUFFICIENT

Answer: C

Cheers,

Brent