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

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jjjinapinch Senior | Next Rank: 100 Posts Default Avatar
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Posted:
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Did the sum of the prices of three shirts exceed $60?

Post Mon Aug 07, 2017 9:24 am
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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