When (77⁷⁷ + 77) is divided by 78, the remainder is:

Solution (By Examveda Team)

$$\eqalign{ & \frac{{{{77}^{77}} + 77}}{{78}} \cr & = {\left( { - 1} \right)^{77}} + \left( { - 1} \right) \cr & = - 1 - 1 \cr & = - 2 \cr & {\text{Remainder}} = 78 - 2 = 76 \cr} $$