On replacing ‘a’ in 86a72 by the smallest number to make it divisible by 11, we get __________.

On replacing ‘a’ in 86a72 by the smallest number to make it divisible by 11, we get 86372.
The divisibility rule of 11 states that if the difference between the two sums of digits in even places and odd places is 0, then the number is divisible by 11.
Sum of numbers in odd places, 
8 + a + 2 =10 + a
Sum of numbers in even places, 
6 + 7 =13
So, 8 + a + 2 =13
10 + a = 13
To make the difference, 0, substituting ‘a’ for 3.
10 + 3 = 13
13 = 13
Hence, a = 3.
Therefore, the correct answer is 86372.