## If $$r$$ and $$s$$ are positive integers, is $$r + s$$ even?

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### If $$r$$ and $$s$$ are positive integers, is $$r + s$$ even?

by Vincen » Wed Feb 23, 2022 4:00 am

00:00

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.

Source: Official Guide

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### Re: If $$r$$ and $$s$$ are positive integers, is $$r + s$$ even?

by Brent@GMATPrepNow » Thu Feb 24, 2022 8:06 am

00:00

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.

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
The content structure of the passage is a mathematical question in the form of a data sufficiency problem from the GMAT, where the target question is whether the sum of two positive integers, \(r\) and \(s\), is even. The passage provides two statements and asks whether each statement alone or both together are sufficient to answer the question.
single_question_with_answer
Given a text passage, determine:
    1. If it contains a mathematical question (including word problems or calculations)
    2. If an answer to that mathematical question is provided in the text

First, describe the content structure you found in 1-2 sentences.

Then provide your analysis in the following format:
TYPE: <one of the following values>
- NO_QUESTION
- SINGLE_QUESTION
- SINGLE_QUESTION_WITH_ANSWER
- MULTIPLE_QUESTIONS
- MULTIPLE_QUESTIONS_WITH_ANSWERS
system
## If $$r$$ and $$s$$ are positive integers, is $$r + s$$ even?

##### This topic has expert replies
Legendary Member
Posts: 2898
Joined: Thu Sep 07, 2017 2:49 pm
Thanked: 6 times
Followed by:5 members

### If $$r$$ and $$s$$ are positive integers, is $$r + s$$ even?

by Vincen » Wed Feb 23, 2022 4:00 am

00:00

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.

Source: Official Guide

### GMAT/MBA Expert

GMAT Instructor
Posts: 16207
Joined: Mon Dec 08, 2008 6:26 pm
Location: Vancouver, BC
Thanked: 5254 times
Followed by:1268 members
GMAT Score:770

### Re: If $$r$$ and $$s$$ are positive integers, is $$r + s$$ even?

by Brent@GMATPrepNow » Thu Feb 24, 2022 8:06 am

00:00

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.

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
user
The content structure of the passage is a mathematical question in the form of a data sufficiency problem from the GMAT, where the target question is whether the sum of two positive integers, \(r\) and \(s\), is even. The passage provides two statements and asks whether each statement alone or both together are sufficient to answer the question.

TYPE: SINGLE_QUESTION_WITH_ANSWER