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Updated on: 01 Oct 2023, 02:24
Originally posted by kumar23badgujar on 03 Aug 2013, 23:46.
Last edited by Bunuel on 01 Oct 2023, 02:24, edited 3 times in total.
Last edited by Bunuel on 01 Oct 2023, 02:24, edited 3 times in total.
Edited the question.
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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:
58% (00:48) correct
42%
(00:28)
wrong
based on 156
sessions
History
Date
Time
Result
Not Attempted Yet
Is x negative?
(1) \(x^2\) is positive.
(2) \(x^3\) is non-positive.
(1) \(x^2\) is positive.
(2) \(x^3\) is non-positive.
03 Aug 2013, 23:50
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Is x negative?
(1) \(x^2\) is positive.
\(x^2>0\) so \(x\neq{0}\).
Not sufficient
(2) \(x^3\) is non-positive.
\(x^3\leq{0}\) so \(x\leq{0}\).
Not sufficient, x could be 0.
1+2) From 2 we have \(x\leq{0}\), and 1 says that x \(x\neq{0}\) ==> \(x<0\).
Sufficient
(1) \(x^2\) is positive.
\(x^2>0\) so \(x\neq{0}\).
Not sufficient
(2) \(x^3\) is non-positive.
\(x^3\leq{0}\) so \(x\leq{0}\).
Not sufficient, x could be 0.
1+2) From 2 we have \(x\leq{0}\), and 1 says that x \(x\neq{0}\) ==> \(x<0\).
Sufficient
04 Aug 2013, 00:21
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kumar23badgujar
Statement 1
\(x^2\) is positive.
Means x>0 or x<0 but not zero
Insufficient
Statement 2
\(x^3\) is non-positive
Means x=0 or x<0
Insufficient
Statement 1& 2
x<0
Sufficient
