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Did the sum of the prices of three shirts exceed $60?

This topic has 1 expert reply and 0 member replies
jjjinapinch Senior | Next Rank: 100 Posts Default Avatar
Joined
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Posted:
83 messages

Did the sum of the prices of three shirts exceed $60?

Post Mon Aug 07, 2017 9:24 am
Elapsed Time: 00:00
  • Lap #[LAPCOUNT] ([LAPTIME])
    Did the sum of the prices of three shirts exceed $60?
    (1) The price of the most expensive of the shirts exceeded $30.
    (2) The price of the least expensive of the shirts exceeded $20.

    Official Guide question
    Answer: B

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    Post Mon Aug 07, 2017 9:35 am
    jjjinapinch wrote:
    Did the sum of the prices of three shirts exceed $60?
    (1) The price of the most expensive of the shirts exceeded $30.
    (2) The price of the least expensive of the shirts exceeded $20.

    Official Guide question
    Answer: B
    Target question: Did the sum of the prices of three shirts exceed $60?

    Statement 1: The price of the most expensive of the shirts exceeded $30
    This statement doesn't FEEL sufficient, so I'll TEST some values.
    Case a: the shirt prices are $31, $32 and $33, in which case the sum of the 3 prices EXCEEDS $60
    Case b: the shirt prices are $11, $12 and $33, in which case the sum of the 3 prices DOES NOT exceed $60
    Since we cannot answer the target question with certainty, statement 1 is NOT SUFFICIENT

    Aside: For more on this idea of plugging in values when a statement doesn't feel sufficient, you can read my article: http://www.gmatprepnow.com/articles/data-sufficiency-when-plug-values

    Statement 2: The price of the least expensive of the shirts exceeded $20
    If the least expensive shirt costs 20+ dollars, then the other 2 shirts also cost 20+ dollars each
    (20+ dollars) + (20+ dollars) + (20+ dollars) = 60+ dollars
    So, we can conclude that the sum of the 3 prices EXCEEDS $60
    Since we can answer the target question with certainty, statement 2 is SUFFICIENT

    Answer: B

    Cheers,
    Brent

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