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Master | Next Rank: 500 Posts
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by smclean23 » Thu Jan 01, 2009 10:28 am
Does set S contain any even numbers?


1) There are no prime numbers in S.

2) There are no multiples of 4 in S.



OA is E.................
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Source: — Data Sufficiency |
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by vivek.kapoor83 » Thu Jan 01, 2009 10:57 am
1) There are no prime numbers in S.
Take the values of S = 3,4,5,6 ...Insuff

) There are no multiples of 4 in S.
- if u take this statement then it can be any value - 6,5 so Insuff
now taking together

S can hv values - 6 - even( Not prime, not multiple of 4) -EVEN
or 9 ( Not prime , not multiple of 4) - ODD

So, Insuff
Hence E
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by vivek.kapoor83 » Thu Jan 01, 2009 11:03 am
1) There are no prime numbers in S.
Take the values of S = 4,9...Insuff

) There are no multiples of 4 in S.
- if u take this statement then it can be any value - 6,5 so Insuff
now taking together

S can hv values - 6 - even( Not prime, not multiple of 4) -EVEN
or 9 ( Not prime , not multiple of 4) - ODD

So, Insuff
Hence E
Last edited by vivek.kapoor83 on Thu Jan 01, 2009 11:05 am, edited 1 time in total.
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by vivek.kapoor83 » Thu Jan 01, 2009 11:04 am
vivek.kapoor83 wrote:1) There are no prime numbers in S.
Take the values of S = ,4,9 ...Insuff

) There are no multiples of 4 in S.
- if u take this statement then it can be any value - 6,5 so Insuff
now taking together

S can hv values - 6 - even( Not prime, not multiple of 4) -EVEN
or 9 ( Not prime , not multiple of 4) - ODD

So, Insuff
Hence E
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by maihuna » Fri Jan 02, 2009 2:56 am
Kapoor saheb how u can choose ... 3 4 5 6 as non primes...3 and 5 are prime...

See no number picking is required here: DO the following:
1. Contains no prime...can be any even no except 2
2. no multiples of 4...can be all odd multiple of 2 i.e. 2 6 10 etc..

so E..
vivek.kapoor83 wrote:1) There are no prime numbers in S.
Take the values of S = 3,4,5,6 ...Insuff

) There are no multiples of 4 in S.
- if u take this statement then it can be any value - 6,5 so Insuff
now taking together

S can hv values - 6 - even( Not prime, not multiple of 4) -EVEN
or 9 ( Not prime , not multiple of 4) - ODD

So, Insuff
Hence E
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by vikz_316 » Tue Jan 06, 2009 2:54 am
Hello,

I have a doubt regarding these type of q's

Set S has not been defined here..
For all I know, Set S could be the set of all fractions, or Set S could be the set of all integers, as is assumed here.

Moreover the info provided tells us what is NOT there.

So is it wise to just mark the answer E, as we have no idea what kind of values are actually allowed inside the Set S.
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by vikz_316 » Tue Jan 06, 2009 3:25 am
never mind, i got my ass out of my head and realized how trivial my argument was. wonderful what time away from the computer can do to your brain sometimes.
For those who I did manage to confuse, I am sorry. If it can be proved that under no circumstances can the set S have Even numbers, the arguments can become sufficient.
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