3⁵⁰ + 9²⁶ + 27¹⁸ + 9²⁸ + 9²⁹ is divisible by which of the following integers?

A. 11

B. 5

C. 7

D. 2

Answer: Option A

Solution(By Examveda Team)

3⁵⁰ + 9²⁶ + 27¹⁸ + 9²⁸ + 9²⁹
= 3⁵⁰ + 3⁵² + 3⁵⁴ + 3⁵⁶ + 3⁵⁸
= 3⁵⁰[1 + 3² + 3⁴ + 3⁶ + 3⁸]
= 3⁵⁰[1 + 9 + 81 + 729 + 6561]
= 3⁵⁰ × 7381
This no will be divided by 5, 7, 2, 50 it will be divisible by 11.