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27 Jan 2022, 02:30
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C
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
55%
(hard)
Question Stats:
59% (01:49) correct
41%
(01:51)
wrong
based on 119
sessions
History
Date
Time
Result
Not Attempted Yet
x and y are non-zero integers. Is \(x^y\) a positive number?
(1) \(y = - x\)
(2) \(y = (2k + 1)^2\) where k is a non-zero integer
Are You Up For the Challenge: 700 Level Questions
(1) \(y = - x\)
(2) \(y = (2k + 1)^2\) where k is a non-zero integer
Are You Up For the Challenge: 700 Level Questions
27 Jan 2022, 03:31
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(1) Only
If x=-3 and y=3, x^y<0
If x=-2 and y=2, x^y>0
Insufficient.
(2) Only
When k=0, y=1
If x=-1, x^y<0
If x=1, x^y>0
Insufficient
(1)and(2)Together
For any k of a non-zero integer, y is a positive odd integer.
x is a negative number
So x^y is always negative
Sufficient.
The answer is (C).
If x=-3 and y=3, x^y<0
If x=-2 and y=2, x^y>0
Insufficient.
(2) Only
When k=0, y=1
If x=-1, x^y<0
If x=1, x^y>0
Insufficient
(1)and(2)Together
For any k of a non-zero integer, y is a positive odd integer.
x is a negative number
So x^y is always negative
Sufficient.
The answer is (C).
12 Mar 2024, 08:56
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zhanbo
how does statement one qualify that X is negative and Y is positive ? it could also be that -y=x in which case it does not deem x^y as negative?
