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

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If n is an integer and 100 < n <200, what is the value of n? [#permalink] New post 28 Aug 2006, 06:00
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Q36realtestc:


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.
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Last edited by shinewine on 28 Aug 2006, 07:33, edited 1 time in total.
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 [#permalink] New post 28 Aug 2006, 06:20
this is a wierd question because each st gives different values for n and together they are impossible .... so e is the answer .... is the question itself right???
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 [#permalink] New post 28 Aug 2006, 07:34
yezz wrote:
this is a wierd question because each st gives different values for n and together they are impossible .... so e is the answer .... is the question itself right???


ve chnaged it.. err in copy paste..
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Re: DS : Number pro. [#permalink] New post 28 Aug 2006, 09:21
shinewine wrote:
Q36realtestc:


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.

B for me on this one
1st) n/36=x(odd number)
we know that n must be greater than 100 and smaller than 200
so picking odd numbers for x
lets take 3 --->n will be 108-ok
lets take 5---->n will be 180-ok hence it is insuff
2)n/45=y (even integer)
lets take 4 (2 is out cause if y=2 n will be 90)
y=4 n will be 180 the only possible choice
So B it is
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 [#permalink] New post 28 Aug 2006, 10:17
Answer: B.
100 < n < 200

S1: n = 36k, k = 1,3,5,7

Possible values for k = 3,5
n=108, or n= 180
Not sufficient.

S2: n = 45m, m= 2,4,6,8...
Possible values of m=4,
n= 180.
Sufficient.

Answer: B
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 [#permalink] New post 31 Aug 2006, 05:50
(B) in about 45 seconds. Only 180 can be divided by 45 to yield an even integer.
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 [#permalink] New post 31 Aug 2006, 09:54
Easy B.

St1: n could be 108 or 180: INSUFF
St2: n = 180: SUFF
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 [#permalink] New post 31 Aug 2006, 17:39
B

1)

n / 36 = 2K + 1 (representing an odd number), where K is any integer

n = 72K + 36

To keep in bounds K can be 1 or 2 which gives 108 or 180

INSUFF

2)

n / 45 = 2K (even number), where K is any integer

n = 90K

only value of K that keeps n between 100 - 200 is 2 so n = 180

SUFF
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 [#permalink] New post 02 Sep 2006, 09:16
i don't know why but the OA is C> .. it can't be.. :( .. no OE is available..
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  [#permalink] 02 Sep 2006, 09:16
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