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Is xy > 16?
(1) 1 < |x| < 4
(2) y > 16
Answer: E
Source: Veritas Prep
(1) 1 < |x| < 4
(2) y > 16
Answer: E
Source: Veritas Prep
Target question: Is xy > 16?BTGModeratorVI wrote: ↑Sat Aug 08, 2020 7:02 amIs xy > 16?
(1) 1 < |x| < 4
(2) y > 16
Answer: E
Source: Veritas Prep
Statement 1: 1 < |x| < 4
Since there's no information about y, we cannot determine whether xy is greater than 16
Since we cannot answer the target question with certainty, statement 1 is NOT SUFFICIENT
Statement 2: y > 16
Since there's no information about x, we cannot determine whether xy is greater than 16
Since 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 16
Case 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 16
Since we cannot answer the target question with certainty, the combined statements are NOT SUFFICIENT
Answer: E
Cheers,
Brent
