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# S is a set of integers such that i) if a is in S, then a is

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Manager
Joined: 08 Jul 2009
Posts: 164
S is a set of integers such that i) if a is in S, then a is [#permalink]

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31 Jul 2009, 10:18
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S is a set of integers such that
i) if a is in S, then –a is in S, and
ii) if each of a and b is in S, then ab is in S.
Is –4 in S?
(1) 1 is in S.
(2) 2 is in S.

OA
[Reveal] Spoiler:
B

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Director
Joined: 01 Apr 2008
Posts: 846
Name: Ronak Amin
Schools: IIM Lucknow (IPMX) - Class of 2014

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31 Jul 2009, 11:17
Given:
If a positive integer is there in set S then it's negative is also there AND product of every possible combination of any two integers is also there.

eg. if 1 is there, S = { -1,1,-1 }
if 2 is there, S = {-2,2,-4}
Intern
Status: Applying
Joined: 30 Jul 2009
Posts: 25

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31 Jul 2009, 11:54
[EDIT - REMOVED BY USER]

Last edited by nplaneta on 17 Jun 2012, 07:01, edited 1 time in total.
Senior Manager
Joined: 20 Mar 2008
Posts: 445

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01 Aug 2009, 19:01
Agree with B.

(1): Based on i & ii S includes 1, -1 & -1x1. Not suff. to determine if -4 is in S.
(2): Based on i & ii S includes 2, -2 & -2x2=-1 is in S. Suff.!
Intern
Joined: 22 Mar 2008
Posts: 49

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02 Aug 2009, 22:21
agree with B.
if 2 is in S then -2 will be in S
and since, 2 and -2 are in S so, (2*-2) or -4 will be in S.

--== Message from GMAT Club Team ==--

This is not a quality discussion. It has been retired.

If you would like to discuss this question please re-post it in the respective forum. Thank you!

To review the GMAT Club's Forums Posting Guidelines, please follow these links: Quantitative | Verbal Please note - we may remove posts that do not follow our posting guidelines. Thank you.
Re: Set S   [#permalink] 02 Aug 2009, 22:21
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