If \(r\) and \(s\) are positive integers, is \(r + s\) even?
(1) \(r\) is even.
(2) \(s\) is even.
Answer: C
Source: Official Guide
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If \(r\) and \(s\) are positive integers, is \(r + s\) even?
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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
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Brent
Brent Hanneson - Creator of GMATPrepNow.com
