Explanation:

Let’s break down the logic for the given set (14, 17, 961):

- Observe: 14 + 3 = 17.

- 17² = 289. But, 961 = 31².

- Try another way: 14 × 17 = 238, not matching.

- Check: 14 × 14 = 196, 17 × 17 = 289.

- Is 961 related to 14 or 17? Notice: 31 is neither close to 14 nor 17.

- But, 14 + 17 = 31, and 31² = 961

- So, the pattern is: Sum of first two numbers, squared, gives third number.

That is, a + b = c ? (a + b)² = third number.

Now check options:

Option 1: (11, 12, 729)

- 11 + 12 = 23, 23² = 529 (not 729)

Option 2: (12, 18, 851)

- 12 + 18 = 30, 30² = 900 (not 851)

Option 3: (13, 19, 1024)

- 13 + 19 = 32, 32² = 1024

Option 4: (15, 14, 743)

- 15 + 14 = 29, 29² = 841 (not 743)

Therefore, the correct option is:

- Option 3: (13, 19, 1024)