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If x is an integer, what is the value of x? (1) 1/5 < 1/

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by GMATinsight » Thu Oct 08, 2015 10:07 am
If x is an integer, what is the value of x?

(1) 1/5 < 1/(1 + x) < 1/2
(2) (x - 3)(x - 4) = 0

Answer: option C
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Source: — Data Sufficiency |
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by GMATinsight » Thu Oct 08, 2015 10:07 am
GMATinsight wrote:If x is an integer, what is the value of x?

(1) 1/5 < 1/(1 + x) < 1/2
(2) (x - 3)(x - 4) = 0

Answer: option C


Question : x = ?

Statement 1: 1/5 < 1/(1 + x) < 1/2
i.e. 1+x = 3 or 4
i.e. x = 2 or 3
NOT SUFFICIENT

Statement 2: (x - 3)(x - 4) = 0
i.e. x = 3 or x = 4
NOT SUFFICIENT

Combining the two statements
x = 3 is the only common solution

Answer: Option C
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