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# Is the integer n odd? (1) n is divisible by 3. (2) 2n is

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Manager
Joined: 17 Jan 2006
Posts: 92
Is the integer n odd? (1) n is divisible by 3. (2) 2n is [#permalink]

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03 Jun 2006, 23:24
This topic is locked. If you want to discuss this question please re-post it in the respective forum.

Is the integer n odd?
(1) n is divisible by 3.
(2) 2n is divisible by twice as many positive integers as n.
Manager
Joined: 12 Apr 2006
Posts: 215
Location: India

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05 Jun 2006, 01:10
Although not very sure but to me answer seems to be E
Director
Joined: 16 Aug 2005
Posts: 938
Location: France

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05 Jun 2006, 08:55
humans wrote:
Although not very sure but to me answer seems to be E

For n to meet (2), n can only be odd.

When not B??
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SVP
Joined: 01 May 2006
Posts: 1796

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05 Jun 2006, 16:04
I say (B)

1) n = 3*k where k is itenger
k : odd > n is odd
k : even > n is even

Not Sufficient

2) The only cases that 2n is divisible by twice as many positive integers as n are for prime numbers without 2.
As all prime number except 2 are odds, thus n must be odd.

Sufficient
05 Jun 2006, 16:04
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# Is the integer n odd? (1) n is divisible by 3. (2) 2n is

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