It is given that ( 2 32 + 1 ) is exactly divisible by a certain number. Which of the following is also definitely divisible by the same number?
Correct Answer: ( 296 + 1 )
Explanation:
Let 232 = x and let ( 232 + 1 ) = ( x + 1 )
( 296 + 1 ) = ( x3 + 1 ) = ( x + 1 )( x2 -x + 1 )
Which is clearly divisible by n as ( x + 1 ) is divisible by n.
