The remainder when (15²³ + 23²³) is divided by 19, is :

A. 0

B. 4

C. 15

D. 18

Answer: Option A

Solution(By Examveda Team)

(xⁿ + aⁿ) is divisible by (x + a) when n is odd
∴ (15²³ + 23²³) is divisible by (15 + 23)
⇒ (15²³ + 23²³) is divisible by 38 and hence by 19
⇒ On dividing (15²³ + 23²³) by 19, we get 0 as remainder.