If (6767 + 67) is divided by 68, the remainder is :
Options:
A . 1
B . 63
C . 66
D . 67
Answer: Option C (xn + an) is divisible by (x + a) when n is odd ∴ (6767 + 167) is divisible by (67 + 1) ⇒ (6767 + 1) is divisible by 68 ⇒ On dividing (6767 + 67) by 68, we get (67 - 1) = 66 as remainder.
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