It is being given that (232 + 1) is completely divisible by a whole number. Which of the following numbers is completely divisible by this number?  Choose the correct choice from the following answers.
A) (216 + 1)  B) (216 - 1)  C) (7 x 223)  D) (296 + 1)  E) None of these
Explanation:   Let 232 = x. Then, (232 + 1) = (x + 1).   Let (x + 1) be completely divisible by the natural number N. Then,   (296 + 1) = [(232)3 + 1] = (x3 + 1) = (x + 1)(x2 - x + 1), which is completely divisible by N, since (x + 1) is divisible by N.   ANSWER IS (296 + 1)
<result>D</result>
It is being given that (232 + 1) is completely divisible by a whole number. Which of the following numbers is completely divisible by this number?