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

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Manager
Joined: 22 Jul 2008
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Location: Bangalore,Karnataka
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If n is an integer and 100 < n <200, what is the value [#permalink]  29 Dec 2009, 05:00
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0% (00:00) correct 100% (00:38) wrong based on 2 sessions
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
Joined: 30 Aug 2009
Posts: 286
Location: India
Concentration: General Management
Followers: 3

Kudos [?]: 111 [0], given: 5

Re: even odd [#permalink]  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
Senior Manager
Joined: 22 Dec 2009
Posts: 364
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Kudos [?]: 259 [0], given: 47

Re: even odd [#permalink]  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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