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Question

It is given that (232+1) is exactly divisible by a certain number. Which of the following is also definitely divisible by the same number?
  1. (216+1)
  2. (28+1)
  3. (2161)
  4. (296+1)


Solution

The correct option is D (296+1)
(296+1)=(232)3+(1)3
=(232+1)()
The given expression is divisible by (232+1). Since (232+1) is a factor of (296+1) so any factor pf (232+1) will divide (296+1).

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