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Numbers - General Aptitude

Q1:

What will be remainder when (6767 + 67) is divided by 68 ?

A 1

B 63

C 66

D 67

ANS:C - 66

(xn + 1) will be divisible by (x + 1) only when n is odd. (6767 + 1) will be divisible by (67 + 1) (6767 + 1) + 66, when divided by 68 will give 66 as remainder.