476 ** 0 is divisible by both 3 and 11. The non-zero digits in the hundred’s and ten’s places are respectively:

Question:
476 ** 0 is divisible by both 3 and 11. The non-zero digits in the hundred’s and ten’s places are respectively:

[A].

7 and 4

[B].

7 and 5

[C].

8 and 5

[D].

None of these

Answer: Option C

Explanation:

Let the given number be 476 xy 0.

Then (4 + 7 + 6 + x + y + 0) = (17 + x + y) must be divisible by 3.

And, (0 + x + 7) – (y + 6 + 4) = (x – y -3) must be either 0 or 11.

x – y – 3 = 0   y = x – 3

(17 + x + y) = (17 + x + x – 3) = (2x + 14)

x= 2 or x = 8.

x = 8 and y = 5.