Explanation:

Let’s analyse the given number pair: 14 : 450

- Try to find the logic.

- 14 × 14 = 196

- 14 × 14 + 14 = 210

- 14³ = 2744 (too high)

- 14² + 14² = 392

- 14 × 32 = 448 (very close to 450)

- 14 × 32 + 2 = 450

- 14 × 32 = 448, 448 + 2 = 450

- So, the logic could be: First × 32 + 2 = Second

Now let’s check each option with this logic:

- Option 1: 31 : 961

- 31 × 32 = 992, 992 + 2 = 994

- Option 2: 30 : 902

- 30 × 32 = 960, 960 + 2 = 962

- Option 3: 22 : 490

- 22 × 32 = 704, 704 + 2 = 706

- Option 4: 18 : 722

- 18 × 32 = 576, 576 + 2 = 578

None of the options follow the exact pattern. Let's try another approach:

- Check for a² + 2 × a = b

- 14² + 2 × 14 = 196 + 28 = 224

- Check for a² + a × k = b

- No obvious simple multiplier.

All options checked. None exactly fit the pattern, but from above, none match 14 : 450 by a clear repeatable math logic.