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

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If x is an integer, what is the value of x? (1) [#permalink]

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New post 02 May 2011, 05:00
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If √x is an integer, what is the value of √x?
(1) 11<x<17
(2) 2<√x<5
[Reveal] Spoiler: OA

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Re: Square root [#permalink]

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New post 02 May 2011, 05:52
If sqrt(x) is integer then x is integer

From 1) x can be 12,13,14,15,16

Only sqrt(16) is integer. Hence sqrt(x) = 4. Sufficient.

From 2) sqrt(x) can be 3 or 4. x can be 9 or 16. Not sufficient.

Hence A.

jamifahad wrote:
If √x is an integer, what is the value of √x?
(1) 11<x<17
(2) 2<√x<5
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Re: Square root [#permalink]

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New post 02 May 2011, 06:22
Thanks. i was bit confused with (2). sqrt(x) is an integer not x itself hence sqrt(x) can be 3 or 4 with x non-integer and integer respectively.
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Re: Square root [#permalink]

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New post 03 May 2011, 21:04
for B, x^(1/2) = 3,4. Hence POE.
thus A.
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Re: If x is an integer, what is the value of x? (1) [#permalink]

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Re: If x is an integer, what is the value of x? (1) [#permalink]

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New post 22 May 2016, 13:00
jamifahad wrote:
If √x is an integer, what is the value of √x?
(1) 11<x<17
(2) 2<√x<5


√x is an integer or x is square of an integer.

(1) 11<x<17
In the given range, only 16 is a number that is square of an integer. Sufficient

(2) 2<√x<5

integers 3 and 4 are between 2 and 5. So possible values van be √9 or √16. Not sufficient.

A is the answer
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Re: If x is an integer, what is the value of x? (1)   [#permalink] 22 May 2016, 13:00
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