If the number 476 ** 0 is divisible by both 3 and 11, then in the hundredth and tenth places, the non-zero digits are, respectively:
Show answer & explanation
Correct answer: D
Explanation
The correct answer is option4 i.e. 8 and 5
If the number 476 ** 0 is divisible by both 3 and 11
Let the hundredth and tenth-place values be x and y respectively
For divisible by 3
4 + 7+ 6 + x + y + 0 = 17 + x + y is also divisible by 3
For divisible by 11
(4 + 6 + y) - (7 + x + 0) = 3 + y - x is also divisible by 11
Hence,
x = 8, and y = 5