text: ## 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
  
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  ## 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
  
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  ## 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
explanation: The text extract contains a math question from the GMAT. The question asks whether the sum of two positive integers, \(r\) and \(s\), is even, and it provides two statements to evaluate. The extract also includes an answer and explanation for the question.
distilabel_metadata.content: Evaluate the user given text extract and determine if it contains a math question and optionally and answer to this question.
  
  Output rules:
  
  1. Briefly describe the document and mention if it contains a question or a question and answer.
  2. Finalize the output with: Label: no-question,question,question-and-answer,multiple-question,multiple-question-and-answer
distilabel_metadata.role: system
distilabel_metadata.content: ## If $$r$$ and $$s$$ are positive integers, is $$r + s$$ even?
  
  ##### This topic has expert replies
  Legendary Member
  Posts: 2898
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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
  
  ### 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
distilabel_metadata.role: user
distilabel_metadata.raw_output_q_a_detector_0: The text extract contains a math question from the GMAT. The question asks whether the sum of two positive integers, \(r\) and \(s\), is even, and it provides two statements to evaluate. The extract also includes an answer and explanation for the question.
  
  Label: question-and-answer