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Problem 2

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candygal79 Rising GMAT Star
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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

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    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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