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Is n an integer ? (1) n^2 is an integer. (2) n^ 1/2 is an

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Is n an integer ? (1) n^2 is an integer. (2) n^ 1/2 is an [#permalink] New post 17 May 2008, 07:24
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B
C
D
E

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DS problems with square and square root always stump me. Please explain.
19. Is n an integer ?
(1) n^2 is an integer.
(2) n^ 1/2 is an integer.
Intern
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Re: DS- squareroot and square [#permalink] New post 17 May 2008, 09:18
I think the ans is B.
square of any integer is an integer.

square root of an integer may be (100) or may not be (10) an integer.
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Re: DS- squareroot and square [#permalink] New post 17 May 2008, 09:59
Agree with B

statement 1: N^2 is an integer
if N^2 is 2, N is about 1.4
if N^2 is 1, N is 1
Insuff

statement 2: squareroot of N is an integer, therefore N must be and integer.
Suff
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Re: DS- squareroot and square [#permalink] New post 18 May 2008, 06:11
gmatnub wrote:
Agree with B

statement 1: N^2 is an integer
if N^2 is 2, N is about 1.4
if N^2 is 1, N is 1
Insuff

statement 2: squareroot of N is an integer, therefore N must be and integer.
Suff


Thank you so much for the lucid explanation!
Re: DS- squareroot and square   [#permalink] 18 May 2008, 06:11
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Is n an integer ? (1) n^2 is an integer. (2) n^ 1/2 is an

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