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# Are a and b integers? (1) a/b is an integer

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Senior Manager
Joined: 31 Oct 2011
Posts: 325
Are a and b integers? (1) a/b is an integer [#permalink]

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24 Feb 2012, 23:25
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71% (01:46) correct 29% (01:09) wrong based on 73 sessions

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Are a and b integers?

(1) a/b is an integer.

(2) $$\sqrt{a + b}$$ is an integer
[Reveal] Spoiler: OA
Math Expert
Joined: 02 Sep 2009
Posts: 39662
Re: PT # 8 DS 12 [#permalink]

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24 Feb 2012, 23:29
eybrj2 wrote:
Are a and b integers?

(1) a/b is an integer.

(2) $$\sqrt{a + b}$$ is an integer

It's straight E:
If $$a=b=0.5$$, then $$\frac{a}{b}=1=integer$$ and $$\sqrt{a +b}=1=integer$$, and the answer to the question is NO;
If $$a=b=2$$, then $$\frac{a}{b}=1=integer$$ and $$\sqrt{a +b}=2=integer$$, and the answer to the question is YES.

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Re: Are a and b integers? (1) a/b is an integer [#permalink]

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29 Jan 2016, 06:01
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Re: Are a and b integers? (1) a/b is an integer   [#permalink] 29 Jan 2016, 06:01
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