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Problem 2

This topic has 1 expert reply and 0 member replies
candygal79 Senior | Next Rank: 100 Posts
Joined
10 Feb 2014
Posted:
49 messages
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Problem 2

Post Thu Apr 03, 2014 3:17 am
Elapsed Time: 00:00
  • Lap #[LAPCOUNT] ([LAPTIME])
    Is the product of a certain pair of integer even ?

    1) The sum of the integers is odd

    2) One of the integer is even and odd

    Need free GMAT or MBA advice from an expert? Register for Beat The GMAT now and post your question in these forums!
    Post Thu Apr 03, 2014 6:36 am
    candygal79 wrote:
    Is the product of a certain pair of integer even?

    1) The sum of the integers is odd
    2) One of the integer is even and odd
    Some important rules:
    1. ODD +/- ODD = EVEN
    2. ODD +/- EVEN = ODD
    3. EVEN +/- EVEN = EVEN

    4. (ODD)(ODD) = ODD
    5. (ODD)(EVEN) = EVEN
    6. (EVEN)(EVEN) = EVEN


    Target question: Is the product of a certain pair of integer even?

    Statement 1: The sum of the integers is odd
    So, if the sum is odd, we know that one integer is ODD, and one integer is EVEN (rule #2)
    If one integer is ODD, and one integer is EVEN, then their product must be even (rule #5).
    Since we can answer the target question with certainty, statement 1 is SUFFICIENT

    Statement 2: One of the integer is even and odd
    If one integer is ODD, and one integer is EVEN, then their product must be even (rule #5).
    Since we can answer the target question with certainty, statement 2 is SUFFICIENT

    Answer = D

    Cheers,
    Brent

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