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what is the value of min(10, w) ?

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Manonamission Junior | Next Rank: 30 Posts Default Avatar
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what is the value of min(10, w) ?

Post Tue Oct 11, 2016 7:53 am
Elapsed Time: 00:00
  • Lap #[LAPCOUNT] ([LAPTIME])
    For any integers x and y, min(x, y) and max(x, y) denote the minimum and the maximum of x and y, respectively. For example, min (5, 2) = 2 and max(5, 2) = 5. For the integer w, what is the value of min(10, w) ?

    (1) w = max(20, z) for some integer z.
    (2) w = max(10, w)

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    Post Tue Oct 11, 2016 8:06 am
    Quote:
    For any integers x and y, min(x, y) and max(x, y) denote the minimum and the maximum of x and y, respectively. For example, min(5, 2) = 2 and max(5, 2) = 5. For the integer w, what is the value of min(10, w) ?

    (1) w = max(20, z) for some integer z.
    (2) w = max(10, w)

    Target question: What is the value of min(10, w)?

    Statement 1: w = max(20, z) for some integer z.
    Let's take a closer look at max(20, z)
    If z < 20, then max(20, z) = 20
    If z > 20, then max(20, z) = some value greater than 20
    So, max(20, z) must be greater than or equal to 20
    Since, w = max(20, z), we can conclude that w is greater than or equal to 20
    From this, we can conclude that min(10, w) = 10, since 10 will be the lesser value
    Since we can answer the target question with certainty, statement 1 is SUFFICIENT

    Statement 2: w = max(10, w)
    If w = max(10, w), then w is the larger value.
    In other words, w is greater than or equal to 10
    If w is greater than or equal to 10, then we can conclude that min(10, w) = 10
    Since we can answer the target question with certainty, statement 2 is SUFFICIENT

    Answer = D

    Cheers,
    Brent

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    Post Tue Oct 11, 2016 9:49 am
    Hi Manonamission,

    This question was discussed here:

    http://www.beatthegmat.com/properties-of-numbers-t267107.html

    GMAT assassins aren't born, they're made,
    Rich

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