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20 Aug 2018, 01:11
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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:
35%
(medium)
Question Stats:
67% (01:28) correct
33%
(01:23)
wrong
based on 108
sessions
History
Date
Time
Result
Not Attempted Yet
If x and y are positive integers, is \((\frac{x}{y})^z > 1\) ?
(1) x - y = -5
(2) z ≠ 0
(1) x - y = -5
(2) z ≠ 0
20 Aug 2018, 01:20
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1) as \(x-y=-5\), it means that y is greater than x, so \(x/y\) is less than 1 but as z is unknown u can't determine whether \((x/y)^z\) is less than or greater than 1. e.g if z is positive then \((x/y)^z\) is less than 1, if z is negative then \((x/y)^z\) is greater than 1. INSUFFICIENT
2) still no clue whether z is positive or negative. INSUFFICIENT
by combining both provide no extra information either.
Answer is E
2) still no clue whether z is positive or negative. INSUFFICIENT
by combining both provide no extra information either.
Answer is E
20 Aug 2018, 01:23
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From statement 1 we can conclude that X<Y. Means \(\frac{X}{Y}\) is a fraction.
Since we don't know anything about Z. Statement 1 is insufficient.
From statement 2 we don't have any information about X and Y. So, 2 is insufficient.
Combining both gives two possibilities.
If X=1 and Y=6. and Z = \(\frac{{-1}}{2}\) Then (X/Y)^Z Gives 36. which is greater than 1.
If Z is positive fraction then (X/Y)^Z is less than 1.
Hence combining also is insufficient.
E is the answer.
Since we don't know anything about Z. Statement 1 is insufficient.
From statement 2 we don't have any information about X and Y. So, 2 is insufficient.
Combining both gives two possibilities.
If X=1 and Y=6. and Z = \(\frac{{-1}}{2}\) Then (X/Y)^Z Gives 36. which is greater than 1.
If Z is positive fraction then (X/Y)^Z is less than 1.
Hence combining also is insufficient.
E is the answer.
