Explanation:

Let's break it down:

- The rule for 11: If you take the difference between the sum of the digits in odd positions and the sum in even positions, the result should be 0 or a multiple of 11.

- The number is 6 3 4 7 * 2 5 (from left).

- Odd positions: 5 (rightmost), 2, 7, 3 (counting from the right, so 5, 2, *, 7, 4, 3, 6).

- Even positions: *, 4, 6 (again, from the right).

- Odd-position sum: 5 + * + 7 + 3 = (* + 15)

- Even-position sum: 2 + 4 + 6 = 12 (the actual grouping is 5th right, 3rd, 1st for odd, but either way, we'll stick with the above logic for simplicity).

- So, Alternating sum: (6+4+*+5) - (3+7+2)

= (6+4+*+5) = (15+*)

= (3+7+2) = 12

= So, (15 + *) - 12 = * + 3

- For divisibility by 11, this must be a multiple of 11.

- Possible values for *: 8, since 8+3=11.

- Let’s check options:

- 1 ? 1+3=4 (not multiple of 11)

- 2 ? 2+3=5 (not multiple of 11)

- 8 ? 8+3=11

- 0 ? 0+3=3 (not multiple of 11)

So, here’s the thing:

Option 3: 8 is the only correct answer.