Find the least value of * for which 4832*18 is divisible by 11.Options :A. 5B. 3C. 7D. 11

To find the least value of , we need to check if the number 483218 is divisible by 11.

The divisibility rule of 11 states that a number is divisible by 11 if the difference between the sum of digits at odd places and the sum of digits at even places is either 0 or a multiple of 11.

Let's apply this rule to the number 4832*18:

1. Sum of digits at odd places = 4 + 3 + * + 8 = 15 + *
2. Sum of digits at even places = 8 + 2 + 1 = 11

The difference between these two sums should be either 0 or a multiple of 11 for the number to be divisible by 11.

So, we have:

15 + * - 11 = 0 or a multiple of 11

Solving this equation gives * = -4 or a multiple of 11.

Since * must be a positive integer, the least value of * that satisfies this condition is 7 (which is -4 + 11).

So, the answer is C. 7.