(461 + 462 + 463 + 464) is divisible by

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Examveda

(4⁶¹ + 4⁶² + 4⁶³ + 4⁶⁴) is divisible by :

A. 3

B. 11

C. 13

D. 17

Answer: Option D

(4⁶¹ + 4⁶² + 4⁶³ + 4⁶⁴)
= 4⁶¹(1 + 4 + 4² + 4³)
= 4⁶¹ × 85,
Which is divisible by 17

This Question Belongs to Arithmetic Ability >> Number System

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