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# Does set S contain any even numbers ?

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Manager
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Does set S contain any even numbers ? [#permalink]

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04 Feb 2008, 15:11
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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.
[Reveal] Spoiler: OA

Last edited by Bunuel on 16 Mar 2013, 04:06, edited 2 times in total.
Edited the question and added the OA.

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Re: n and s ? [#permalink]

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04 Feb 2008, 23:35

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]

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05 Feb 2008, 06:21
neither statement tells us anything about N though ...

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Re: n and s ? [#permalink]

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05 Feb 2008, 07:30
pmenon wrote:
neither statement tells us anything about N though ...

Yeah...Looks like E
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Re: n and s ? [#permalink]

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05 Feb 2008, 08:35
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]

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05 Feb 2008, 09:31
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]

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05 Feb 2008, 23:38
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, 21:04, edited 1 time in total.

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Re: n and s ? [#permalink]

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06 Feb 2008, 13:46
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]

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06 Feb 2008, 16:50
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]

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16 Mar 2013, 03:54
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]

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16 Mar 2013, 04:10
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).

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Re: Does set S contain any even numbers ? 1. There are no prime [#permalink]

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16 Mar 2013, 14:19
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]

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17 Mar 2013, 02:41
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 ? [#permalink]

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13 Oct 2015, 13:47
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Re: Does set S contain any even numbers ? [#permalink]

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06 Feb 2017, 06:20
Statement 1: No primes in set S

we can have set S = {9, 15, 21..}, with no even numbers.
we can also have set S = {4, 6, 8..} with only even numbers. so insufficient.

Statement 2: no multiples of 4 in S

we can have set S={9, 15, 21..}, with no even numbers.
we can also have set S={6, 10, 14..}, with only even numbers. so insufficient.

Both statements together: no multiples of 4 AND no primes in set S

we can have set S={9, 15, 21..}, with no even numbers.
we can also have set S={6, 10, 14}, with only even numbers. so insufficient.

Choose E.
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Re: Does set S contain any even numbers ?   [#permalink] 06 Feb 2017, 06:20
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