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

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25 Apr 2008, 19:53

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A

B

C

D

E

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If √x is an integer, what is the value of √x? (1) 11<x<17 (2) 2<√x<5 ________________________________________________________________ getting C. plz confirm.

Getting A here. Essentially the questions needs to identify.

The reasoning is as under... i) Means that the possible values of x are- 12, 13, 14, 15, 16 & 17. Out of these values only sqrt x(=16) would yield an integer. Hence sufficient.

ii) yields sqrtx= 3,4. Therefore insufficient. Hence A

Square roots have only one answer and that must be a positive value. GMAT follows the convention that a root sign denotes only a non-negative root of a number
_________________

Jimmy Low, Frankfurt, Germany Blog: http://mytrainmaster.wordpress.com GMAT Malaysia: http://gmatmalaysia.blogspot.com

If √x is an integer, what is the value of √x? (1) 11<x<17 (2) 2<√x<5 ________________________________________________________________ getting C. plz confirm.

Rephrasing \(\sqrt{x}\) must be an integer.

Statement (1) lists x as {12,13,14,15,16}. Only 16 will make \(\sqrt{x}\) must be an integer, which is 4. Sufficient. Eliminate B,C,E. Statement (2) lists values of \(\sqrt{x}\) as {3,4}. Could be 3 or 4. No definite value. Not Sufficient. Elimimate D.

Ans: A
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Jimmy Low, Frankfurt, Germany Blog: http://mytrainmaster.wordpress.com GMAT Malaysia: http://gmatmalaysia.blogspot.com

guys i am confused now. root(16) = ONLY + 4? and NOT -4?

I really did not know this. Really appreciate if someone can provide an example from OG. All these days I was thinking that root(X) is +/- ..of something. Thanks.