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

This topic has expert replies
Legendary Member
Posts: 2898
Joined: 07 Sep 2017
Thanked: 6 times
Followed by:5 members

Timer

00:00

Your Answer

A

B

C

D

E

Global Stats

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

(1) \(r\) is even.
(2) \(s\) is even.

Answer: C

Source: Official Guide

GMAT/MBA Expert

User avatar
GMAT Instructor
Posts: 16136
Joined: 08 Dec 2008
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

Vincen wrote:
Wed Feb 23, 2022 4:00 am
If \(r\) and \(s\) are positive integers, is \(r + s\) even?

(1) \(r\) is even.
(2) \(s\) is even.

Answer: C

Source: Official Guide
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
Brent Hanneson - Creator of GMATPrepNow.com
Image