Student: vinit prabhakar

Q. Can you explain me how to solve this? Find the remainder when 96 + 7 is divided by 8.


Answer :

Thanks Vinit for the Question.  Here is the  concept, method and solution.

Topic : Number System

Concept:  As we know from the "Test of divisibility" concept:

  1. (xn - an) is divisible by (x-a) for all values of n
  2. (xn - an) is divisible by (x+a) for all even values of n
  3. (xn + an) is divisible by (x + a) for all  odd values of n

Method: Applying first concept  (xn - an) is divisible by (x-a) for all values of n  here.

So,  ( 96 - 1 ) is divisible by ( 9 - 1 ) i.e. 8

=> ( 96 - 1 ) + 8 is divisble by 8

=> ( 96  + 7 )  is divisble by 8.

Hence remainder is 0 (zero).

Hope you got the method Vinit. Feel free to post if any more queries.

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