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

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Senior Manager
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If n is an integer and 100 < n <200, what is the value [#permalink] New post 11 Sep 2007, 17:55
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If n is an integer and 100 < n <200, what is the value of n?

(1) n/36 is an odd integer.

(2) n/45 is an even integer.

Please explain your answer.
Director
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Re: DS - Set 4, Math 36 [#permalink] New post 11 Sep 2007, 18:05
gluon wrote:
If n is an integer and 100 < n <200, what is the value of n?

(1) n/36 is an odd integer.
(2) n/45 is an even integer.

Please explain your answer.


its B. if n/45 is an even integer, it is 180. st. 1 gives two values 108 and 180. st. 2 gives 1 values 180. so B.
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Re: DS - Set 4, Math 36 [#permalink] New post 11 Sep 2007, 18:09
gluon wrote:
If n is an integer and 100 < n <200, what is the value of n?

(1) n/36 is an odd integer.

(2) n/45 is an even integer.

Please explain your answer.


I get B.


S1:

Since 100<n<200> 108/36=3 odd integer.

5*36=180 180/36=5 odd integer.

7 causes n to fall out of its perameters. ie n>200 this cannot be true.

2 values so insuff.

S2:

use the same concept.

2*45=90 too small

4*45=180 180/45=4 even integer. (dont need to do this part b/c its repetitive, just shows that the result is indeed an even integer).

5*45=225 too big.


So 180 is the only thing that satisfys this statement.


I dunno if this is right, its just what I did.
Senior Manager
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 [#permalink] New post 11 Sep 2007, 18:31
Yet another problem where the OA is wrong. The incorrect OA is C.

I got B as the anwer too.
  [#permalink] 11 Sep 2007, 18:31
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