Numbers

Which of the following numbers will completely divide (3²⁵ + 3²⁶ + 3²⁷ + 3²⁸) ?

A 11

B 16

C 25

D 30

ANS:D - 30

(3²⁵ + 3²⁶ + 3²⁷ + 3²⁸) = 3²⁵ x (1 + 3 + 3² + 3³) = 3²⁵ x 40 = 3²⁴ x 3 x 4 x 10 = (3²⁴ x 4 x 30), which is divisible by30.

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