M7MBA wrote:If n is an integer, is (29 - n)/n an integer?
(1) n is prime.
(2) n is an odd factor of 116.
(29-n)/n = 29/n - n/n =
29/n - 1.
The expression in blue will be an integer if n is a FACTOR OF 29.
Since 29 has only two factors -- 1 and 29 -- the question stem can be rephrased as follows:
Does n=1 or n=29?
Statement 1:
If n=29, then the answer to the question stem is YES.
If n=2, then the answer to the question stem is NO.
INSUFFICIENT.
Statement 2:
Factor pairs of 116:
1*116
2*58
4*
29.
Since n must be ODD factor of 116, n must be equal to one of the green factors above.
Thus, either n=1 or n=29, with the result that the answer to the question stem is YES.
SUFFICIENT.
The correct answer is
B.
Private tutor exclusively for the GMAT and GRE, with over 20 years of experience.
Followed here and elsewhere by over 1900 test-takers.
I have worked with students based in the US, Australia, Taiwan, China, Tajikistan, Kuwait, Saudi Arabia -- a long list of countries.
My students have been admitted to HBS, CBS, Tuck, Yale, Stern, Fuqua -- a long list of top programs.
As a tutor, I don't simply teach you how I would approach problems.
I unlock the best way for YOU to solve problems.
For more information, please email me (Mitch Hunt) at
[email protected].
Student Review #1
Student Review #2
Student Review #3
