Student: vinit prabhakar
Q. Can you explain me how to solve this? Find the remainder when 96 + 7 is divided by 8.
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:
- (xn - an) is divisible by (x-a) for all values of n
- (xn - an) is divisible by (x+a) for all even values of n
- (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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