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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: 329
Followers: 1

Kudos [?]: 290 [0], given: 18

Are a and b integers? (1) a/b is an integer [#permalink]  24 Feb 2012, 22:25
00:00

Difficulty:

25% (medium)

Question Stats:

72% (01:52) correct 28% (00:34) wrong based on 29 sessions
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: 27123
Followers: 4189

Kudos [?]: 40504 [0], given: 5540

Re: PT # 8 DS 12 [#permalink]  24 Feb 2012, 22:29
Expert's post
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.

_________________
Re: PT # 8 DS 12   [#permalink] 24 Feb 2012, 22:29
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