Explanation:

To determine if 8764x5 is divisible by 9, follow these steps:

- Divisibility Rule: A number is divisible by 9 if the sum of its digits is divisible by 9.

- Calculate the Sum: For 8764x5, the sum of the digits is 8 + 7 + 6 + 4 + x + 5 = 30 + x.

- Find the Minimum x: For divisibility by 9, 30 + x must be divisible by 9.

- When x = 15: Sum = 30 + 15 = 45, 45 is divisible by 9. This is the correct and least possible x.

- When x = 06: Sum = 30 + 6 = 36, 36 is divisible by 9.

- When x = 14: Sum = 30 + 14 = 44, not divisible.

- When x = 18: Sum = 30 + 18 = 48, not divisible.

Correct Answer:

- Option 1: 15