Bunuel wrote:
Is xy > 16?
(1) 1 < |x| < 4
(2) y > 16
Target question: Is xy > 16? Statement 1: 1 < |x| < 4 Since there's no information about y,
we cannot determine whether xy is greater than 16Since we cannot answer the
target question with certainty, statement 1 is NOT SUFFICIENT
Statement 2: y > 16Since there's no information about x,
we cannot determine whether xy is greater than 16Since we cannot answer the
target question with certainty, statement 2 is NOT SUFFICIENT
Statements 1 and 2 combined There are several values of x and y that satisfy BOTH statements. Here are two:
Case a: x = 2 and y = 20, in which case xy = 40. In this case,
the answer to the target question is YES, xy IS greater than 16Case b: x = -2 and y = 20, in which case xy = -40. In this case,
the answer to the target question is NO, xy is NOT greater than 16Since we cannot answer the
target question with certainty, the combined statements are NOT SUFFICIENT
Answer: E
Cheers,
Brent
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Brent Hanneson – Creator of gmatprepnow.com
I’ve spent the last 20 years helping students overcome their difficulties with GMAT math, and the biggest thing I’ve learned is…
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