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If x^2/4 is an integer greater than 50 and x is a positive integer, th

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Bunuel
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If x^2/4 is an integer greater than 50 and x is a positive integer, th [#permalink] New post   13 Dec 2018, 00:25
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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 \(x^2\)?

A. 121
B. 144
C. 169
D. 225
E. 256
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If x^2/4 is an integer greater than 50 and x is a positive integer, th [#permalink] New post   Updated on: 28 Dec 2018, 18:10
Bunuel wrote:
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 \(x^2\)?

A. 121
B. 144
C. 169
D. 225
E. 256


\(\frac{x^2}{4}>50\)

\(x^2 > 200.\)

The only option is D, which is smallest and greater that 200.

Originally posted by KSBGC on 13 Dec 2018, 00:41.
Last edited by KSBGC on 28 Dec 2018, 18:10, edited 1 time in total.
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If x^2/4 is an integer greater than 50 and x is a positive integer, th [#permalink] New post   Updated on: 14 Dec 2018, 00:26
Bunuel wrote:
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 \(x^2\)?

A. 121
B. 144
C. 169
D. 225
E. 256



x^2/4> 50
x^2>200
only option where x^2/4 would be an integer is
256 IMO E

Originally posted by Archit3110 on 13 Dec 2018, 01:59.
Last edited by Archit3110 on 14 Dec 2018, 00:26, edited 1 time in total.
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Re: If x^2/4 is an integer greater than 50 and x is a positive integer, th [#permalink] New post   13 Dec 2018, 19:49
Bunuel I don't understand why the correct answer is E instead of D. Is there a typo somewhere?



Bunuel wrote:
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 \(x^2\)?

A. 121
B. 144
C. 169
D. 225
E. 256
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personofwalmart
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Re: If x^2/4 is an integer greater than 50 and x is a positive integer, th [#permalink] New post   13 Dec 2018, 21:26
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225/4 is not an integer. The correct answer is 256 (E)

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bebs
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Re: If x^2/4 is an integer greater than 50 and x is a positive integer, th [#permalink] New post   13 Dec 2018, 21:27
personofwalmart Oh wow. I missed that detail :(. Thanks!



personofwalmart wrote:
225/4 is not an integer. The correct answer is 256 (E)

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If x^2/4 is an integer greater than 50 and x is a positive integer, th [#permalink] New post   13 Dec 2018, 22:14
Bunuel wrote:
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 \(x^2\)?

A. 121
B. 144
C. 169
D. 225
E. 256



\(\frac{x^2}{4}\)>50
=> \(x^2\)>200
Possible value is 225 (\(15^2\)), but the condition \(\frac{x^2}{4}\) is an integer doesn't satisfy with 225, so we need to check for next possibility,i.e, 256 (\(16^2\)). It does satisfy the condition and hence is the correct answer. :)
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If x^2/4 is an integer greater than 50 and x is a positive integer, th [#permalink]
13 Dec 2018, 22:14
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