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\( \Large 7^{12}-4^{12} \) is exactly divisible by which of the following number?

A) 34
B) 33
C) 36
D) 35

Correct Answer:


B) 33

Description for Correct answer:
We know that, \( \Large( x^{n}-y^{n}) \) is divisible by

(x - y) for all n and is divisible by (x + y) for even n.

\( \Large( 7^{12}-4^{12}) \) is divisible by(7 + 4) and(7 - 4)

=> \( \Large( 7^{12}-4^{12}) \) is divisible by 11 and 3

\( \Large( 7^{12}-4^{12}) \) is divisible by 33.

Part of solved Number System questions and answers : >> Aptitude >> Number System

Comments

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