If the number 34564A is divisible by 11, then what is the value of A?

Correct option is D

Given:
Number = 34564A
Condition: Number should be divisible by 11
Formula Used:
Divisibility rule of 11: (Sum of digits at odd places – Sum of digits at even places) must be divisible by 11.
Solution:
Odd place digits = 3 + 5 + 4 = 12
Even place digits = 4 + 6 + A = 10 + A
Difference = 12 – (10 + A) = 2 – A
For divisibility by 11:
2 – A = 0, or a multiple of 11
So, A = 2