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16 Sep 2014, 00:19
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If \(x\) is an integer, is \(x\) even?
(1) \(\frac{11}{x}\) is an integer.
(2) \(\frac{22}{x}\) is an integer.
(1) \(\frac{11}{x}\) is an integer.
(2) \(\frac{22}{x}\) is an integer.
16 Sep 2014, 00:19
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Official Solution:
If \(x\) is an integer, is \(x\) even?
(1) \(\frac{11}{x}\) is an integer.
The above implies that \(x\) is a divisor of 11. Thus, \(x\) can be -11, -1, 1, or 11. Since none of them are even, the answer to the question, "Is \(x\) even?", is NO. Sufficient.
(2) \(\frac{22}{x}\) is an integer.
The above implies that \(x\) is a divisor of 22. Thus, \(x\) can be -22, -11, -2, -1, 1, 2, 11, or 22. Thus, \(x\) can be either odd or even. Not sufficient.
Answer: A
If \(x\) is an integer, is \(x\) even?
(1) \(\frac{11}{x}\) is an integer.
The above implies that \(x\) is a divisor of 11. Thus, \(x\) can be -11, -1, 1, or 11. Since none of them are even, the answer to the question, "Is \(x\) even?", is NO. Sufficient.
(2) \(\frac{22}{x}\) is an integer.
The above implies that \(x\) is a divisor of 22. Thus, \(x\) can be -22, -11, -2, -1, 1, 2, 11, or 22. Thus, \(x\) can be either odd or even. Not sufficient.
Answer: A
bharatwannagmat
Joined: 13 Jul 2018
Last visit: 14 Apr 2021
Posts: 2
Given Kudos: 96
Location: India
Schools: ISB '21 CBS '21 INSEAD Jan '19 Kellogg '21
GMAT 1: 690 Q48 V36
08 Aug 2018, 10:54
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Isn't 0 an integer too?
An even integer. That's why I marked the first statement as insufficient.
Please clear this for me.
An even integer. That's why I marked the first statement as insufficient.
Please clear this for me.
