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# If x^2/4 is an integer greater than 50 and x is a positive i

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If x^2/4 is an integer greater than 50 and x is a positive i [#permalink]  09 Aug 2017, 15:19
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If \frac{x^2}{4} is an integer greater than 50 and x is a positive integer, then what is the smallest possible value for x^2?

[Reveal] Spoiler: OA
256

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Re: If x^2/4 is an integer greater than 50 and x is a positive i [#permalink]  11 Aug 2017, 21:16
how could it possible????

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Re: If x^2/4 is an integer greater than 50 and x is a positive i [#permalink]  12 Aug 2017, 02:27
Expert's post
\frac{x^2}{4} > 50

50*4 = 200 which means that x^2 must be > 200.

The only number > 200 AND at the same time the smallest possible value is 16. 16^2 = 256

Notice also that X must be a number divisible by 4.

Hope this helps.

Regards
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Re: If x^2/4 is an integer greater than 50 and x is a positive i   [#permalink] 12 Aug 2017, 02:27
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