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07 Feb 2018, 05:51
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C
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Difficulty:
5%
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Question Stats:
87% (00:50) correct
13%
(01:05)
wrong
based on 72
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If x is an integer, is x an odd number?
(1) x^3 is not negative.
(2) x is either a negative number or an odd number, but not both.
(1) x^3 is not negative.
(2) x is either a negative number or an odd number, but not both.
Pure algebraic questions like this one are no longer part of the GMAT Data Sufficiency syllabus.
For relevant Data Sufficiency questions, please check the Data Sufficiency forum:
Data Sufficiency Forum
Data Sufficiency Forum
07 Feb 2018, 06:03
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Bunuel
As this question asks about number properties, we'll look for a Logical approach (without calculation, based on only on the properties in question).
(1) x^3 is not negative means that x is not negative. But is it even or odd?
Insufficient!
(2) So x is either a negative even number or a positive odd number. But which?
Insufficient!
Combined, we know that x is a positive, odd number.
Sufficient!
(C) is our answer.
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08 Feb 2018, 18:59
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If x is an integer, is x an odd number?
(1) x^3 is not negative.
Let X = 2 or 0.....Even
Let X =1.............Odd
Insufficient
(2) x is either a negative number or an odd number, but not both.
Let x =-2.......Even
Let x = 1.......ODD
Insufficient
Combine 1 & 2
We can conclude that x is not negative number and so we left with that x is odd number.
Answer: C
(1) x^3 is not negative.
Let X = 2 or 0.....Even
Let X =1.............Odd
Insufficient
(2) x is either a negative number or an odd number, but not both.
Let x =-2.......Even
Let x = 1.......ODD
Insufficient
Combine 1 & 2
We can conclude that x is not negative number and so we left with that x is odd number.
Answer: C
