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This question belongs to Arithmetic Ability Number System
Number System
?

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

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