25²⁵ is divided by 26, the remainder is :

A. 1

B. 2

C. 24

D. 25

Answer: Option D

Solution(By Examveda Team)

(xⁿ + aⁿ) is divisible by (x + a) when n is odd
∴ (25²⁵ + 1²⁵) is divisible by (25 + 1)
⇒ (25²⁵ + 1) is divisible by 26
⇒ On dividing 25²⁵ by 26, we get (26 - 1) = 25 as remainder