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If k is an integer, what is the value of k? [#permalink]

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24 Mar 2015, 04:54

Bunuel wrote:

If k is an integer, what is the value of k?

(1) 1/5 < 1/(k - 1) < 1/2

(2) 3 < (k + 3)/2 < 5

(1) 1/5 < 1/(k - 1) < 1/2 Since K is integer (k-1) will be an integer so there are two possible values k-1=4; K=5 k-1=3; K=4 Not Sufficient.

(2) 3 < (k + 3)/2 < 5 (K+3)/2 , we can find multiple values of K from this inequality. eg: (K+3)/2=3.5 so K = 4 (K+3)/2=4 so K = 5 (K+3)/2=4.5 so K = 6

Combining A and B , still insufficient.

Answer E
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Last edited by Lucky2783 on 24 Mar 2015, 08:04, edited 1 time in total.