Afc0892 wrote:
If \((n+12)^2\) is divisible by n, where n is a natural number. How many values can take?
a) 4
b) 6
c) 12
d) 15
e) 22
\((n+12)^2\) is divisible by n or \(n^2+24n+144\) is divisible by n..
n^2+24n are clearly divisible by n, so 144 also must be divisible by n..
So n can be one of the factors of 144..
\(144=12*12=2^4*3^2\)
Number of factors = (4+1)(2+1)= 5*3 = 15
D
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1) Absolute modulus : http://gmatclub.com/forum/absolute-modulus-a-better-understanding-210849.html#p1622372
2)Combination of similar and dissimilar things : http://gmatclub.com/forum/topic215915.html
3) effects of arithmetic operations : https://gmatclub.com/forum/effects-of-arithmetic-operations-on-fractions-269413.html
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61% (01:29) correct 
