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boomtangboy
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Updated on: 21 Sep 2019, 20:13
Originally posted by boomtangboy on 04 Feb 2012, 10:43.
Last edited by Bunuel on 21 Sep 2019, 20:13, edited 3 times in total.
Last edited by Bunuel on 21 Sep 2019, 20:13, edited 3 times in total.
Edited the question
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A
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
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Is x an integer?
(1) x/2 is an integer
(2) 2x is an integer
(1) x/2 is an integer
(2) 2x is an integer
I used a fraction (4/2) in A to prove that X is not an integer but OA is different
Solving this question helps.
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04 Feb 2012, 12:10
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boomtangboy
Is x an integer?
(1) x/2 is an integer. For x/2 to be an integer x must be an integer --> \(\frac{x}{2}=integer\) --> \(x=2*integer=integer\), as you can see \(x\) is not only an integer but an even integer. Sufficient.
(2) 2x is an integer --> x may or may not be an integer, for instance \(x=0.5\) or \(x=1\). Basically \(x\) is of a type \(\frac{integer}{2}\), hence \(x\) may be an integer itself or half of an integer 0.5, 1.5, ... Not sufficient.
Answer: A.
As for your example: 4/2=2=integer, so 4/2 is just another way of writing integer 2, like 6/3 or 8/4. Also notice that any integer can be expressed as the ratio of 2 integers.
Hope it's clear.
