Which of the following numbers will completely divide (4 61 + 4 62 + 4 63 + 4 64 ) ? Options: A . &nbsp3 B . &nbsp10 C . &nbsp11 D . &nbsp13

Answer: Option B (4 61 + 4 62 + 4 63 + 4 64 ) = 4 61 x (1 + 4 + 4 2 + 4 3 ) = 4 61 x 85 = 4 60 x (4 x 85) = (4 60 x 340), which is divisible by 10.

Which of the following numbers will completely divide (461 + 462 + 463 + 464) ?

Question

Which of the following numbers will completely divide (4⁶¹ + 4⁶² + 4⁶³ + 4⁶⁴) ?

Options:

A . 3

B . 10

C . 11

D . 13

Answer: Option B

(4⁶¹ + 4⁶² + 4⁶³ + 4⁶⁴) = 4⁶¹ x (1 + 4 + 4² + 4³) = 4⁶¹ x 85

= 4⁶⁰ x (4 x 85)

= (4⁶⁰ x 340), which is divisible by 10.

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