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) ?

[A].

3

[B].

10

[C].

11

[D].

13

Answer: Option B

Explanation:

(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.