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Does set S contain any even numbers ?

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Does set S contain any even numbers ? [#permalink] New post 04 Feb 2008, 14:11
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76% (01:48) correct 24% (00:41) wrong based on 70 sessions
Does set S contain any even numbers ?

(1) There are no prime numbers in S.
(2) There are no multiples of 4 in S.
[Reveal] Spoiler: OA

Last edited by Bunuel on 16 Mar 2013, 03:06, edited 2 times in total.
Edited the question and added the OA.
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Re: n and s ? [#permalink] New post 04 Feb 2008, 22:35
Answer should be C

If N and S contain any even numbers ?

1. There are no prime numbers in S.
2. There are no multiples of 4 in S.


From Stmt 2 -> S should be {1,2,3}
From Stmt 1-> S will be {1} (take out the primes 2,3)

Thus both the statements are required
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Re: n and s ? [#permalink] New post 05 Feb 2008, 05:21
neither statement tells us anything about N though ...
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Re: n and s ? [#permalink] New post 05 Feb 2008, 06:30
Expert's post
pmenon wrote:
neither statement tells us anything about N though ...


Yeah...Looks like E
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Re: n and s ? [#permalink] New post 05 Feb 2008, 07:35
blog wrote:
If N and S contain any even numbers ?

1. There are no prime numbers in S.
2. There are no multiples of 4 in S.


Seems the question is incomplet. "If N and S contain any even numbers?" doesnot make any sense.

pls post the complete and correct question.
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Re: n and s ? [#permalink] New post 05 Feb 2008, 08:31
GMAT TIGER wrote:
blog wrote:
If N and S contain any even numbers ?

1. There are no prime numbers in S.
2. There are no multiples of 4 in S.


Seems the question is incomplet. "If N and S contain any even numbers?" doesnot make any sense.

pls post the complete and correct question.


I agree.

S1: I was thinkin ok S could be 0 or 1. If it has no prime numbers (I was thinking prime factors).

S2: This doesnt tell us anything

Together still nothing about N. I find the statements a bit odd for S as well when combining them. So Ima vote for none of the above
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Re: n and s ? [#permalink] New post 05 Feb 2008, 22:38
blog wrote:
Does set S contain any even numbers ?

1. There are no prime numbers in S.
2. There are no multiples of 4 in S.


Updated: make sense now and it should be E.

1: S could be 1, 4, 6 or 9 etc.
2: S could be 2, 6 or any odd.

1&2: S could be 6 or any non-prime odd.

Assuming S only contains intergers.
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Last edited by GMAT TIGER on 06 Feb 2008, 20:04, edited 1 time in total.
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Re: n and s ? [#permalink] New post 06 Feb 2008, 12:46
Does set S contain any even numbers ?

1. There are no prime numbers in S.
2. There are no multiples of 4 in S.

S can have (9,15) both are not prime and not multiples of 4 Hence no even numbers
S can have (6,9,15) not prime and not multiples of 4. But has 6 as a even number.

E...

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Re: n and s ? [#permalink] New post 06 Feb 2008, 15:50
Vote E.

Statement 1: Tells us the set cannot contain 1,2,3,5,7,11,13,17...Tells us nothing about containing a even, other than 2. The set could contain 6.

Statement 2: Tells us the set cannot have multiples of 4. So 4,8,12,etc.. But the set could contain 6 or 10.

Together we learn nothing more.
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Re: Does set S contain any even numbers ? 1. There are no prime [#permalink] New post 16 Mar 2013, 02:54
Whats the OA and how do solve this question?
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Re: Does set S contain any even numbers ? 1. There are no prime [#permalink] New post 16 Mar 2013, 03:10
Expert's post
fozzzy wrote:
Whats the OA and how do solve this question?


OA is E (several solutions are provided above).

Does set S contain any even numbers ?

(1) There are no prime numbers in S.
(2) There are no multiples of 4 in S.

When combining the statements the set could be for example, {6, 10} (answer YES) or {9, 15} (answer NO).

Answer: E.
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Re: Does set S contain any even numbers ? 1. There are no prime [#permalink] New post 16 Mar 2013, 13:19
No prime numbers in S.. That means.. S has numbers like 3,4,5,6,7...

No multiples of 4.. so S has numbers like.. 6,10...

Now, even if you combine both, you cant really get to any conclusion.. ! Hence E
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Re: Does set S contain any even numbers ? 1. There are no prime [#permalink] New post 17 Mar 2013, 01:41
Expert's post
surya167 wrote:
No prime numbers in S.. That means.. S has numbers like 3,4,5,6,7...

No multiples of 4.. so S has numbers like.. 6,10...

Now, even if you combine both, you cant really get to any conclusion.. ! Hence E


3, 5, and 7 are primes.
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Re: Does set S contain any even numbers ? 1. There are no prime   [#permalink] 17 Mar 2013, 01:41
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