SSC COMBINED GRADUATE LEVEL (TIER-II) EXAM.2011 Paper 1 (Question 6)

Question : When (67⁶⁷+67) is divided by 68, the remainder is
Answer : c) 66




Explanation:
(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.