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Do RC/MSR passages scare you? e-GMAT is conducting a masterclass to help you learn – Learn effective reading strategies Tackle difficult RC & MSR with confidence Excel in timed test environment
fitzpratik
Posts: 226
06 Dec 2018, 06:40
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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:
65%
(hard)
Question Stats:
43% (01:22) correct
57%
(01:08)
wrong
based on 166
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06 Dec 2018, 07:42
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fitzpratik
if X and Y are integers, is X = Y?
A. X! = Y!
B. \(X^Y\) = X
A. X! = Y!
B. \(X^Y\) = X
Target question: Is X = Y?
Given: X and Y are integers
Statement 1: X! = Y!
There are a few possible scenarios that satisfy statement 1. Here are two:
Case a: X = 1 and Y = 1. In this case, the answer to the target question is YES X DOES equal Y
Case b: X = 0 and Y = 1. This works because 0! = 1 = 1!. In this case, the answer to the target question is NO X does NOT equal Y
Since we cannot answer the target question with certainty, statement 1 is NOT SUFFICIENT
Statement 2: X^Y = X
There are several possible scenarios that satisfy statement 2. Here are two:
Case a: X = 1 and Y = 1. 1^1 = 1, perfect. In this case, the answer to the target question is YES X DOES equal Y
Case b: X = 0 and Y = 1. 0^1 = 0, perfect. In this case, the answer to the target question is NO X does NOT equal Y
Since we cannot answer the target question with certainty, statement 2 is NOT SUFFICIENT
Statements 1 and 2 combined
IMPORTANT: Notice that I was able to use the same counter-examples to show that each statement ALONE is not sufficient. So, the same counter-examples will satisfy the two statements COMBINED.
In other words,
Case a: X = 1 and Y = 1. 1^1 = 1, perfect. In this case, the answer to the target question is YES X DOES equal Y
Case b: X = 0 and Y = 1. 0^1 = 0, perfect. In this case, the answer to the target question is NO X does NOT equal Y
Since we cannot answer the target question with certainty, the combined statements are NOT SUFFICIENT
Answer: E
Cheers,
Brent
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