Carcass wrote:
When n is divided by 9, the result is an integer, and when 441 is divided by n, the result is an integer. If 9 < n < 441, what is the value of n?
(A) 147
(B) 121
(C) 63
(D) 49
(E) 27
441 = (3)(3)(7)(7)
441 is completely divisible by 1, 3, 7, 9, 21, 49, 63, 147, 441
So, n could be any of the above numbers
Now, n should be divisible by 9 and 9 < n < 441
i.e. n could the values - 21, 49, 63, and 147
21 is not divisible by 9
49 is not divisible by 9
63 is divisible by 9
147 is not divisible by 9
n = 63
Hence, option C