$$\left( {{3^{25}} + {3^{26}} + {3^{27}} + {3^{28}}} \right)$$     is divisible by :

A. 11

B. 16

C. 25

D. 30

Answer: Option D

Solution(By Examveda Team)

$$\eqalign{ & \left( {{3^{25}} + {3^{26}} + {3^{27}} + {3^{28}}} \right)\, \cr & = {3^{25}}\left( {{3^0} + {3^1} + {3^2} + {3^3}} \right)\, \cr & = {3^{25}} \times 40 \cr & = {3^{24}} \times 120 \cr & {\text{now check with option }} \cr & {\text{Only 30 can divide this}}{\text{.}} \cr} $$