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A telephone station has x processors, each

This topic has 1 expert reply and 0 member replies
jjjinapinch Senior | Next Rank: 100 Posts Default Avatar
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24 Jul 2017
Posted:
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A telephone station has x processors, each

Post Mon Aug 07, 2017 9:32 am
Elapsed Time: 00:00
  • Lap #[LAPCOUNT] ([LAPTIME])
    A telephone station has x processors, each of which can process a maximum of y calls at any particular time, where x and y are positive integers. If 500 calls are sent to the station at a particular time, can the station process all of the calls?
    (1) x = 600
    (2) 100 < y < 200

    Official Guide question
    Answer: A

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    Post Mon Aug 07, 2017 9:56 am
    jjjinapinch wrote:
    A telephone station has x processors, each of which can process a maximum of y calls at any particular time, where x and y are positive integers. If 500 calls are sent to the station at a particular time, can the station process all of the calls?
    (1) x = 600
    (2) 100 < y < 200

    Official Guide question
    Answer: A
    Target question: Can the station process 500 calls?
    This is a good candidate for rephrasing the target question.
    Each INDIVIDUAL processor can process y calls.
    So, x processors can process xy calls.
    So....
    REPHRASED target question: Is xy ≥ 500?

    Aside: Here’s a video with tips on rephrasing the target question: http://www.gmatprepnow.com/module/gmat-data-sufficiency?id=1100

    Statement 1: x = 600
    Since we're told that x and y are POSITIVE INTEGERS, the smallest possible value of y is 1
    Even when y = 1, xy =(600)(1) = 600. So, the value of xy is AT LEAST 600.
    In other words, xy ≥ 500
    Since we can answer the REPHRASED target question with certainty, statement 1 is SUFFICIENT

    Statement 2: 100 < y < 200
    There are several values of x and y that satisfy statement 2. Here are two:
    Case a: x = 1 and y = 101. in this case, xy = (1)(101) = 101. In other words, xy < 500
    Case b: x = 10 and y = 101. in this case, xy = (10)(101) = 1010. In other words, xy ≥ 500
    Since we cannot answer the REPHRASED target question with certainty, statement 2 is NOT SUFFICIENT

    Answer: A

    Cheers,
    Brent

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