Find the remainder when (257¹⁶⁶-243¹⁶⁶) is divided by 500. · ABC26GN0050

Subject: General Aptitude · Chapter: Number System

Find the remainder when $\left(257^{166}-243^{166}\right)$ is divided by 500.

Answer

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Explanation

(xn – an) is divisible by (x + a) for all even values of n. \ (257166 – 243166) is divisible by (257 + 243), i.e. 500. Hence, required remainder = 0.

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

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