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

ABC26GN0375 · Number System

Subject: General Aptitude · Chapter: Number System · Exam: · Marks: · Difficulty:

The remainder when $\left(15^{23}+23^{23}\right)$ is divided by 19 , is

(a)0

(b)4

(c)15

(d)18

Answer

Answer (as printed): A

Explanation

$\left(x^{n}+a^{n}\right)$ is divisible by $(x+a)$ when $n$ is odd. $$\therefore\left(15^{23}+23^{23}\right) \text { is divisible by }(15+23)$$

Explanation as extracted from the printed page; notation may be imperfect.