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

Answer: Option A

(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.