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Does set S contain any even numbers ? [#permalink ]
04 Feb 2008, 14:11

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Question Stats:

74% (01:47) correct

26% (00:39) wrong

based on 81 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.

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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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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neither statement tells us anything about N though ...

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pmenon wrote:

neither statement tells us anything about N though ...

Yeah...Looks like E

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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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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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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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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... -Jack

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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 ]
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 ]
16 Mar 2013, 03:10

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