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# Can the positive integer p be expressed as the product of

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Manager
Joined: 05 Mar 2010
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Can the positive integer p be expressed as the product of [#permalink]

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29 Mar 2010, 02:23
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Can the positive integer p be expressed as the product of two integers, each of which is greater than 1?

Stmt. 1 31 < p < 37
stmt. 2 p is odd

I don't agree with the OA.
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Manager
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Re: Wrong explanation in OG? [#permalink]

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29 Mar 2010, 09:19

IMO Answer D (each stmt suff)
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Re: Wrong explanation in OG? [#permalink]

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29 Mar 2010, 09:36
hardnstrong wrote:
Can the positive integer p be expressed as the product of two integers, each of which is greater than 1?

Stmt. 1 31 < p < 37
stmt. 2 p is odd

I don't agree with the OA.

Stmt 1: p can be 32,33,34,35,36 each of which has atleast two factors other than 1 and number itself. Hence sufficient.
Stmt 2: p is odd so can be 1,3,5,7,.... now we can not be sure to express it as product of two integers when p is odd hence insufficient.
Therefore its A.
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Re: Wrong explanation in OG? [#permalink]

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29 Mar 2010, 09:52
A

Statement one: there are no primes between 32 and 36
Statement two: odd numbers such as 3 and 5 are prime while 15 is not thus insufficient
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Re: Wrong explanation in OG? [#permalink]

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29 Mar 2010, 15:18
bangalorian2000 wrote:
hardnstrong wrote:
Can the positive integer p be expressed as the product of two integers, each of which is greater than 1?

Stmt. 1 31 < p < 37
stmt. 2 p is odd

I don't agree with the OA.

Stmt 1: p can be 32,33,34,35,36 each of which has atleast two factors other than 1 and number itself. Hence sufficient.
Stmt 2: p is odd so can be 1,3,5,7,.... now we can not be sure to express it as product of two integers when p is odd hence insufficient.
Therefore its A.

Thanks bangalorian2000, i misread the question..
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Re: Wrong explanation in OG? [#permalink]

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31 Mar 2010, 01:09
OA is A

The question asks Can the positive integer p be expressed as product of of two integers?

Stmt 1 Sufficient (without any doubt)

Stmt 2 now i know we cannot take prime numbers here because both integers shuld be greater than one but any number like 12, 15 etc can be product of two integers greater than one

Because the question asks "Can" , then my answer is "yes it can be"

So IMO D

Any more suggestions?
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Re: Wrong explanation in OG? [#permalink]

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01 Apr 2010, 01:53
hardnstrong wrote:
OA is A

The question asks Can the positive integer p be expressed as product of of two integers?

Stmt 1 Sufficient (without any doubt)

Stmt 2 now i know we cannot take prime numbers here because both integers shuld be greater than one but any number like 12, 15 etc can be product of two integers greater than one

Because the question asks "Can" , then my answer is "yes it can be"

So IMO D

Any more suggestions?

But there are cases where it is not possible hence it is A.
In case of DS questions the answer has to absolute, in current case the question asks "Can" so answer whatever it is has to be true for all cases or false for all cases for a statement to be sufficient else statement is insufficient.
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Re: Wrong explanation in OG? [#permalink]

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01 Apr 2010, 04:19
So answer needs to be true for all value. ok i got the point now. This is what i was thinking but got confused with the language

Thanks bangolarian
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Re: Wrong explanation in OG?   [#permalink] 01 Apr 2010, 04:19
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