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) (2 16 + 1)
B) (2 16 - 1)
C) (7 x 2 23)
D) (2 96 + 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 (2 96 + 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?