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

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by bhumika.k.shah » Wed Jan 20, 2010 11:10 am
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.


OA C but i think its B.

I know this has already been posted earlier.But there was no firm answer .
Can someone please tell me what will be the real answer .

Thanks
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by kewltot » Wed Jan 20, 2010 1:10 pm
let me try.....

LCM of 36 and 45 is 180.

and 100 < 180 <200. so, n is 180

180/36 = 5 is an odd integer

180/45 = 4 is an even integer.

OA is C since we can't determine value of n by any one option. we need 1 and 2 to identify the value of n.

Hope, this helps.
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by onedayi'll » Wed Jan 20, 2010 4:08 pm
Let me add my two cents :)

it is B..

multiples of 35 between 100 and 200
36 * 3 = 108
36 * 4 = 144
36 * 5 = 180
so it can be 108 or 180 with odd multiple

multiple of 45 between 100 and 200 is
45 * 3 = 135
45 * 4 = 180
multiple shoudl be even integer so it is sure to be 180

IMO B
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by bhumika.k.shah » Wed Jan 20, 2010 8:19 pm
i agree with oneday's way of solving. it has to be B. :-P
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by kewltot » Wed Jan 20, 2010 10:43 pm
Hey onedayi'll and Bhumika,

If you are talking about multiples of 36 and 45 that means you are using both the options.
I think , IMO should be C.
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by bhumika.k.shah » Wed Jan 20, 2010 11:04 pm
kewltot,

Statement II is giving u one unique answer. And so we select Answer option B

IF neither statements give u a unique answer then we go for combining these two statements and hence the answer can be C or E accordingly.

So it is B IMO
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by sumanr84 » Thu Jan 21, 2010 9:03 am
Answer has to be B as explained by onedayi'll and Bhumika..
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by kewltot » Thu Jan 21, 2010 10:47 am
Sorry guys, B is correct.
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by rahul.s » Fri Jan 22, 2010 9:51 am
Yup, B it is!
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by mehravikas » Fri Jan 22, 2010 6:42 pm
Answer should be B because n is between 100 and 200 and only 180 / 45 gives an even integer.
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