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Discussion

  1. 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. ( 216 - 1 )
    3. 7 x 213
    4. ( 296 + 1 )
  1. Correct Option: D

    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.


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