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\( \Large (4^{61}+4^{62}+4^{63}) \) is divisible by

A) 3
B) 11
C) 13
D) 17

Correct Answer:

A) 3

Description for Correct answer:
\( \Large (4^{61}+4^{62}+4^{63}) \)

\( \Large = 4^{61}(4^{0}+4^{1}+4^{2}) \)

\( \Large = 4^{61}(1+4+16) \)

\( \Large = 4^{61} \times 21 \)

Now check the options

Only 3 divides it. So '3' is answer

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

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