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# GRE Math Challenge #81-One integer will be randomly selected

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GRE Math Challenge #81-One integer will be randomly selected [#permalink]  09 May 2015, 10:23
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Question Stats:

85% (01:19) correct 14% (01:29) wrong based on 7 sessions
One integer will be randomly selected from the integers 11 to 60, inclusive. What is the probability that the selected integer will be a perfect square or a perfect cube?

(A) 0.1
(B) 0.125
(C) 0.16
(D) 0.5
(E) 0.9
[Reveal] Spoiler: OA

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Sandy
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Re: GRE Math Challenge #81-One integer will be randomly selected [#permalink]  14 Dec 2017, 06:46
sandy wrote:
One integer will be randomly selected from the integers 11 to 60, inclusive. What is the probability that the selected integer will be a perfect square or a perfect cube?

(A) 0.1
(B) 0.125
(C) 0.16
(D) 0.5
(E) 0.9

Here
Total number of integers from 11 to 60 = 50
perfect squares from 11 to 60 are = 16 , 25, 36 and 49

perfect cube = 27

Hence there are 5 integers that can be either a perfect square or a perfect cube

Therefore probability = $$\frac{5}{50}$$= 0.1
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Re: GRE Math Challenge #81-One integer will be randomly selected   [#permalink] 14 Dec 2017, 06:46
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