Explanation:

Let’s break it down—here’s how you check if a number is divisible by 11:

- You alternate subtracting and adding the digits, left to right.

- If the result is a multiple of 11 (including zero), the number’s divisible by 11.

Let’s run through each:

- Option 1: 28171

2 - 8 + 1 - 7 + 1 = -11

-11 is a multiple of 11. So this works.

- Option 2: 27667

2 - 7 + 6 - 6 + 7 = 2

Not a multiple of 11.

- Option 3: 29817

2 - 9 + 8 - 1 + 7 = 7

Not a multiple of 11.

- Option 4: 28196

2 - 8 + 1 - 9 + 6 = -8

Not a multiple of 11.

So here’s the punchline—

Option 1 is the only one divisible by 11.