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If n is an integer and 100 < n <200, what is the value

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If n is an integer and 100 < n <200, what is the value [#permalink] New post 29 Dec 2009, 05:00
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If n is an integer and 100 < n <200, what is the value of n?
(1) \frac{n}{36}is an odd integer.
(2) \frac{n}{45} is an even integer
Senior Manager
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Re: even odd [#permalink] New post 29 Dec 2009, 05:12
kirankp wrote:
If n is an integer and 100 < n <200, what is the value of n?
(1) \frac{n}{36}is an odd integer.
(2) \frac{n}{45} is an even integer


B
stmnt 1 ->for \frac{n}{36} to be odd we can have n as 108 and 180. hence insuff
stmnt2 -> for \frac{n}{45} to be an even integer n can only take value 180. hence suff
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Re: even odd [#permalink] New post 01 Jan 2010, 16:37
OA is B...

Statement 1:
n = 36 (2k+1) where k >= 0,1... such that 100<n<200 gives two values = 108, 180. Hence not sufficient

Statement 2:
n = 45 (2k) = 90 k where k >= 0,1... such that 100<n<200 gives only one value = 180. Hence sufficient.
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Re: even odd   [#permalink] 01 Jan 2010, 16:37
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If n is an integer and 100 < n <200, what is the value

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