What is the value of n?

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alex.gellatly: Master | Next Rank: 500 Posts; Posts: 435; Joined: Wed Nov 16, 2011 7:27 am; Thanked: 48 times; Followed by:16 members

What is the value of n?

by alex.gellatly » Mon May 21, 2012 7:52 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/42 is an even integer

Thanks in advanced

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Source: Beat The GMAT — Data Sufficiency | Mon May 21, 2012 7:52 pm

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Anurag@Gurome: GMAT Instructor; Posts: 3835; Joined: Fri Apr 02, 2010 10:00 pm; Location: Milpitas, CA; Thanked: 1854 times; Followed by:523 members; GMAT Score:770

by Anurag@Gurome » Mon May 21, 2012 8:00 pm

alex.gellatly 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/42 is an even integer

Thanks in advanced

(1) n/36 is an odd integer.
n/36 = odd
n = 36 * odd
n = 36 * 3 = 108
n = 36 * 5 = 180
No definite answer; NOT sufficient.

(2) n/42 is an even integer.
n/42 = even
n = 42 * even
n = 42 * 4 = 168, which is the only possible value in the given range; SUFFICIENT.

The correct answer is B.

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