Find all School-related info fast with the new School-Specific MBA Forum

 It is currently 24 Jul 2016, 12:29

### GMAT Club Daily Prep

#### Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History

# Events & Promotions

###### Events & Promotions in June
Open Detailed Calendar

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

Author Message
TAGS:

### Hide Tags

Intern
Joined: 07 May 2003
Posts: 9
Location: Dallas
Followers: 0

Kudos [?]: 8 [0], given: 0

S is a set of integers such that i) if a is in S, then –a is [#permalink]

### Show Tags

14 May 2003, 16:41
1
This post was
BOOKMARKED
00:00

Difficulty:

25% (medium)

Question Stats:

64% (01:59) correct 36% (01:06) wrong based on 111 sessions

### HideShow timer Statistics

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?[/b]

(1) 1 is in S.

(2) 2 is in S.

OPEN DISCUSSION OF THIS QUESTION IS HERE: s-is-a-set-of-integers-such-that-i-if-a-is-in-s-then-a-130000.html
[Reveal] Spoiler: OA

Last edited by Bunuel on 30 Jul 2012, 06:34, edited 1 time in total.
Edited the question and added the OA.
Manager
Joined: 12 Mar 2003
Posts: 59
Followers: 1

Kudos [?]: 1 [1] , given: 0

### Show Tags

14 May 2003, 17:17
1
KUDOS
Ans : B

2 is in => -2 is in.

2 and -2 are in, thus 2*(-2) are in=> -4 is in S.

Yes - Suff.
Manager
Status: I will not stop until i realise my goal which is my dream too
Joined: 25 Feb 2010
Posts: 235
Schools: Johnson '15
Followers: 2

Kudos [?]: 48 [0], given: 16

Re: S is a set of integers such that i) if a is in S, then a is [#permalink]

### Show Tags

30 Jul 2012, 06:28
ju_1 wrote:
S is a set of integers such that

i) if a is in S, then тАУa is in S, and
ii) if each of a and b is in S, then ab is in S.

Is тАУ4 in S?

(1) 1 is in S.

(2) 2 is in S.

i honestly did not understand the problem, can some one help me here...
_________________

Regards,
Harsha

Note: Give me kudos if my approach is right , else help me understand where i am missing.. I want to bell the GMAT Cat

Satyameva Jayate - Truth alone triumphs

Math Expert
Joined: 02 Sep 2009
Posts: 34029
Followers: 6081

Kudos [?]: 76331 [0], given: 9973

Re: S is a set of integers such that i) if a is in S, then a is [#permalink]

### Show Tags

30 Jul 2012, 06:36
Expert's post
harshavmrg wrote:
ju_1 wrote:
S is a set of integers such that

i) if a is in S, then тАУa is in S, and
ii) if each of a and b is in S, then ab is in S.

Is тАУ4 in S?

(1) 1 is in S.

(2) 2 is in S.

i honestly did not understand the problem, can some one help me here...

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 --> according to (i) -1 is in S. Is -4 in S? We don't know. Not sufficient.

(2) 2 is in S --> according to (i) -2 is in S --> according to (ii) -2*2=-4 is in S. Sufficient.

Similar questions to practice:
k-is-a-set-of-numbers-such-that-i-if-x-is-in-k-then-x-96907.html
if-p-is-a-set-of-integers-and-3-is-in-p-is-every-positive-96630.html
k-is-a-set-of-integers-such-that-if-the-integer-r-is-in-k-103005.html

Hope it helps.

OPEN DISCUSSION OF THIS QUESTION IS HERE: s-is-a-set-of-integers-such-that-i-if-a-is-in-s-then-a-130000.html
_________________
Re: S is a set of integers such that i) if a is in S, then a is   [#permalink] 30 Jul 2012, 06:36
Similar topics Replies Last post
Similar
Topics:
19 A set of nonnegative integers consists of 11 09 Oct 2012, 08:33
4 S is a set of integers such that I) If x is in S, then –x is 9 25 Apr 2012, 21:58
7 S is a set of integers such that i) if a is in S, then –a 13 01 Apr 2012, 05:30
2 There is a set of consecutive even integers 7 28 Mar 2011, 19:35
2 S is a set of integers such that i) if a is in S, then a is 5 24 Feb 2011, 14:15
Display posts from previous: Sort by