Explanation:

- To find how many two-digit numbers can be divided by 6, check two-digit numbers: 10 to 99.

- The smallest is: 12 (because 12 ÷ 6 = 2).

- The largest is: 96 (since 96 ÷ 6 = 16).

- It forms the sequence: 12, 18, 24, ..., 96.

- This is an arithmetic sequence where first term (a) is 12 and the common difference (d) is 6.

- For the nth term: 12 + (n-1)×6 = 96 —> (n-1)×6 = 84 —> n-1 = 14 —> n = 15.

Option 1: 12 ( Too low)

Option 2: 15 (Correct - 15 numbers)

Option 3: 14 ( Too low)

Option 4: 13 ( Too low)