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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: 338

Kudos [?]: 1252 [0], given: 18

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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Difficulty:

15% (low)

Question Stats:

71% (00:44) correct 29% (01:04) wrong based on 80 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

Kudos [?]: 1252 [0], given: 18

Math Expert
Joined: 02 Sep 2009
Posts: 42259

Kudos [?]: 132744 [0], given: 12369

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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Kudos [?]: 132744 [0], given: 12369

Non-Human User
Joined: 09 Sep 2013
Posts: 15637

Kudos [?]: 283 [0], given: 0

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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Kudos [?]: 283 [0], given: 0

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