Question 2

If 738A6A is divisible by 11, then the value of A is

Solution

Sum of digits at odd places is 7+8+6=21.

Sum of digits at even places is 3+2A.

Their difference = 21-(3+2A) = 18-2A

The number will be divisible by 11 if 18-2A is 11 or 0.

But to get to 11, 2A needs to be 7 where it will give a fraction as a digit.

So 18-2A = 0.

hence A = 9

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