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Is the integer n odd? 1. n is divisible by 3; 2. 2n is

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Is the integer n odd? 1. n is divisible by 3; 2. 2n is [#permalink]  25 Aug 2008, 18:07
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Is the integer n odd?
1. n is divisible by 3;
2. 2n is divisible by twice as many positive integers as n.

I was able to figure out that (1) is suff but am unable to figure out how to approach (2). Can someone help me with this? Thanks
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Re: integer n odd? [#permalink]  25 Aug 2008, 18:14
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gmatcraze wrote:
Is the integer n odd?
1. n is divisible by 3;
2. 2n is divisible by twice as many positive integers as n.

I was able to figure out that (1) is suff but am unable to figure out how to approach (2). Can someone help me with this? Thanks

B.
1:n could be odd or even. nsf...

2: if n is an odd, then only 2n is divisible by twice as many positive integers as n.
if n is even, then 2n is not divisible by twice as many integers as n.

suff.
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Re: integer n odd? [#permalink]  25 Aug 2008, 18:21
I think both statement is not sufficient for the following reason..
statement 1..
n is divisible by 3
3 is also divisible and 6 is also divisible...
so n can be odd or even..

statement 2...
2n is divisible by twice the positive numbers

ie if we take 3 then there are 3 positive integer in it..
so 2*3/2*3 = 1
it holds good for 4 also ie 4 positive numbers..
so 2*4/2*4 = 1
so n can be odd or even

if i am wrong plz correct me
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Re: integer n odd? [#permalink]  25 Aug 2008, 20:39
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vtselvan wrote:
I think both statement is not sufficient for the following reason..
statement 1..
n is divisible by 3
3 is also divisible and 6 is also divisible...
so n can be odd or even..

statement 2...
2n is divisible by twice the positive numbers

ie if we take 3 then there are 3 positive integer in it..
so 2*3/2*3 = 1
it holds good for 4 also ie 4 positive numbers..
so 2*4/2*4 = 1
so n can be odd or even

if i am wrong plz correct me

for st 2:

take n = 3. the dividors are 1, and 3. 2 dividors
now make 2n = 6. the dividers are 1,2,3 and 6. 4 dividors.

take n = 4. the dividors are 1,2, and 4. 3 dividors
now make 2n = 8. the dividers are 1,2,4 and 8. 4 dividors.

this is true for every odd and even.
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Re: integer n odd?   [#permalink] 25 Aug 2008, 20:39
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