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02 Feb 2022, 09:30
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E
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
25%
(medium)
Question Stats:
69% (00:56) correct
31%
(01:05)
wrong
based on 72
sessions
History
Date
Time
Result
Not Attempted Yet
02 Feb 2022, 10:41
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Bunuel
A common mistake that students make when first tackling data sufficiency questions is assuming the values in question are all integers.
If you make this mistake, then you will (incorrectly) conclude that the answer is C.
Target question: Is xy > 40?
Statement 1: -9 < x < 5
No information about the value of y
Statement 1 is NOT SUFFICIENT
Statement 2: -5 < y < 8
No information about the value of x
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 = 0 and y = 0. In this case, xy = (0)(0) = 0. So, the answer to the target question is NO, xy is not greater than 40
Case b: x = -8.9999 and y = -4.9999. In this case, xy ≈ (-9)(-5) ≈ 45 (since we rounded up, the actual value of xy is slightly less than 45. That said, the answer to the target question in this case is YES, xy is greater than 40
Since we can't answer the target question with certainty, the combined statements are NOT SUFFICIENT
Answer: E
15 Oct 2023, 08:05
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