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Value of n?

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Value of n?

by crackgmat007 » Wed May 13, 2009 9:26 pm
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
Last edited by crackgmat007 on Thu May 14, 2009 9:22 pm, edited 1 time in total.
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Source: — Data Sufficiency |
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by aj5105 » Wed May 13, 2009 10:00 pm
Statement (1) : n can be 36 or 108 or 180

Not Sufficient

Statement (2) : n can be 90 or 180

Not Sufficient

Combine

n has to be 180. Hence Sufficient.

(C)
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by ontherocks27 » Wed May 13, 2009 11:49 pm
Referring to the post above, statement 2 gives us n can be 90 or 180. Also the question stem says 100<n<200. Thus can only be 180 from statement 2 alone.

Hence B.

Am I missing something?
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by aj5105 » Thu May 14, 2009 12:00 am
You are right, partially :)

S1: 108, 180

S2: 135, 180

Combine - 180

(C)

ontherocks27 wrote:Referring to the post above, statement 2 gives us n can be 90 or 180. Also the question stem says 100<n<200. Thus can only be 180 from statement 2 alone.

Hence B.

Am I missing something?
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by mike22629 » Thu May 14, 2009 8:27 am
It should be B.

Aj5105, you used 135 as an alternative option to 180 in statement 2, but 135 would divided by 45 is an odd number and does not meet requirement.

The answer must be B.
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by aj5105 » Thu May 14, 2009 9:31 am
Yes, you are right. 135 does not fit in there.
mike22629 wrote:It should be B.

Aj5105, you used 135 as an alternative option to 180 in statement 2, but 135 would divided by 45 is an odd number and does not meet requirement.

The answer must be B.
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by farooq » Fri May 15, 2009 2:58 am
S1: n/36 is an odd integer.
it means that n should be odd no. multiple of 36.
36*1 = 36
36*3 =108
36*5 =180
36*7 = 252
Because n is between 100 < n <200 therefore from S1 we can get two values 108 and 180. So what can be the value of n?
it can be 108 or 180..cannot say. So S1 alone is insufficient.

S2: n/45 is an even integer.
it means that n should be even no. multiple of 45.

45*2=90
45*4=180
45*6=210

n is between 100 and 200, therefore S2 only gives one result i.e. 180. So S2 alone is sufficient.
Regards,
Farooq Farooqui.
London. UK

It is your Attitude, not your Aptitude, that determines your Altitude.
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