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

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Manager
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If n is an integer and 100 < n <200, what is the value [#permalink]

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29 Dec 2009, 06:00
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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
[Reveal] Spoiler: OA

Last edited by Bunuel on 27 Jul 2015, 08:16, edited 1 time in total.
Senior Manager
Joined: 30 Aug 2009
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Concentration: General Management
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Kudos [?]: 171 [0], given: 5

Re: If n is an integer and 100 < n <200, what is the value [#permalink]

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29 Dec 2009, 06:12
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: If n is an integer and 100 < n <200, what is the value [#permalink]

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01 Jan 2010, 17:37
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: If n is an integer and 100 < n <200, what is the value   [#permalink] 01 Jan 2010, 17:37
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# If n is an integer and 100 < n <200, what is the value

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