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# If n is an odd integer greater than 1, is n prime? 1) n is a

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VP
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If n is an odd integer greater than 1, is n prime? 1) n is a [#permalink]

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08 Oct 2008, 23:46
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If n is an odd integer greater than 1, is n prime?

1) n is a factor of 56
2) 14 is a factor of 2n
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Manager
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Re: DS : What is n? [#permalink]

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09 Oct 2008, 00:29
1
KUDOS
St1:
Factors of 56 = 1 ,2, 4, 7 ,8 ,14,28,56
Only odd number are 1 , 7 So 1 is not suff.

St2:14 is a factor of 2n

n=1 , 14 is factor of 14
n=2 , 14 is factor of 28
n=3 , 14 is factor of 42
n=7 , 14 is factor of 84

so b is not suff. (1,3,7)

more over A + B:(1,7)
not sufficient

E
VP
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Re: DS : What is n? [#permalink]

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09 Oct 2008, 00:47
vr4indian wrote:
St1:
Factors of 56 = 1 ,2, 4, 7 ,8 ,14,28,56
Only odd number are 1 , 7 So 1 is not suff.

St2:14 is a factor of 2n

n=1 , 14 is factor of 14
n=2 , 14 is factor of 28
n=3 , 14 is factor of 42
n=7 , 14 is factor of 84

so b is not suff. (1,3,7)

more over A + B:(1,7)
not sufficient

E

Not E
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Intern
Joined: 24 Sep 2008
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Re: DS : What is n? [#permalink]

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09 Oct 2008, 02:24
1
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well (A) is sufficient.. I had doubt on d (i.e. S2)
VP
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Re: DS : What is n? [#permalink]

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09 Oct 2008, 03:06
amitdgr wrote:
If n is an odd integer greater than 1, is n prime?

1) n is a factor of 56
2) 14 is a factor of 2n

1) answers since 7 is the only odd factor
2)does not answer since n can be any multiple of 14 or 7

hence IMO A
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Re: DS : What is n? [#permalink]

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09 Oct 2008, 03:45
1
KUDOS
oops

question says : greater than 1

so A is suff.
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Re: DS : What is n? [#permalink]

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09 Oct 2008, 03:46
For me Only 1st is suffiecent.
If n is odd integer graeter than 1 and n is factor of 56 than only value of n satisfy is 7.

2nd Equation, lets assume n = 21 than 2n = 42 and 14 is a factpor of 42.
But n=21 is not a prime number. So 2nd doesnot conclude the question.

SVP
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Re: DS : What is n? [#permalink]

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09 Oct 2008, 05:02
amitdgr wrote:
If n is an odd integer greater than 1, is n prime?

1) n is a factor of 56
2) 14 is a factor of 2n

from 1

56 = 2^2*7......the only odd > 1 in this factorisation is 7........suff

from 2

2n = 14 thus n is in the form 7x , we have no idea about x .........insuff

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Re: DS : What is n? [#permalink]

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31 Oct 2008, 18:20
spriya wrote:
amitdgr wrote:
If n is an odd integer greater than 1, is n prime?

1) n is a factor of 56
2) 14 is a factor of 2n

1) answers since 7 is the only odd factor
2)does not answer since n can be any multiple of 14 or 7

hence IMO A

agreed
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Re: DS : What is n? [#permalink]

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31 Oct 2008, 19:34
LiveStronger wrote:
spriya wrote:
amitdgr wrote:
If n is an odd integer greater than 1, is n prime?

1) n is a factor of 56
2) 14 is a factor of 2n

1) answers since 7 is the only odd factor

2)does not answer since n can be any multiple of 14 or 7

hence IMO A

agreed

Agree with A.

1) answers since 7 and 1 are the only odd factors and n > 1. so suff.
2) does not answer since n can be any multiple of 14 and also of 7
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Re: DS : What is n?   [#permalink] 31 Oct 2008, 19:34
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