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08 Oct 2019, 20:55
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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:
50% (01:59) correct
50%
(01:38)
wrong
based on 42
sessions
History
Date
Time
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Is \(A^B > B^A\)?
(1) \(A^A > A^B\)
(2) \(B^A > B^B\)
08 Oct 2019, 21:38
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Is \(A^B>B^A\)?
Only if it is known A > B or A < B, a concrete YES/NO answer can be found.
(1) \(A^A > A^B\)
Since base are same, A > B. YES
SUFFICIENT.
(2) \(B^A>B^B\)
Since base are same, A > B. YES
SUFFICIENT.
Answer D.
Only if it is known A > B or A < B, a concrete YES/NO answer can be found.
(1) \(A^A > A^B\)
Since base are same, A > B. YES
SUFFICIENT.
(2) \(B^A>B^B\)
Since base are same, A > B. YES
SUFFICIENT.
Answer D.
08 Oct 2019, 22:59
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Is A^B > B^A?
Statement 1: A^A > A^B
Insufficient because if A=2, and B=1, satisfying the condition in statement 1, we have A^B (2) > B^A (1)
however, if A=-2, and B=-3, satisfying the condition in statement 1 as well, we have A^B (-1/8) < B^A (1/9).
Statement 2: B^A > B^B.
Insufficient because if A=3, B=2, satisfying the condition in statement 2, we A^B (9) > B^A (8)
however, if A=-2, and B=-3, satisfying the condition in statement 2, we have A^B (-1/8) < B^A (1/9)
Statement 1 + Statement 2:
Both statements are still insufficient.
This is because if A=3, and B=2, satisfying both statements, A^B (9) > B^A (8)
however, if A=-2, and B=-3, also satisfying both statements, A^B (-1/8) < B^A (1/9).
Hence the answer is E.
Statement 1: A^A > A^B
Insufficient because if A=2, and B=1, satisfying the condition in statement 1, we have A^B (2) > B^A (1)
however, if A=-2, and B=-3, satisfying the condition in statement 1 as well, we have A^B (-1/8) < B^A (1/9).
Statement 2: B^A > B^B.
Insufficient because if A=3, B=2, satisfying the condition in statement 2, we A^B (9) > B^A (8)
however, if A=-2, and B=-3, satisfying the condition in statement 2, we have A^B (-1/8) < B^A (1/9)
Statement 1 + Statement 2:
Both statements are still insufficient.
This is because if A=3, and B=2, satisfying both statements, A^B (9) > B^A (8)
however, if A=-2, and B=-3, also satisfying both statements, A^B (-1/8) < B^A (1/9).
Hence the answer is E.
