Explanation:

Let's break down the pattern for each pair:

- 14 : 112

- 14 × 8 = 112

- 24 : 312

- 24 × 13 = 312

- 18 : ?

Now let's check the options:

- Option 1: 18 × 11 = 198

- Option 2: 18 × 10 = 180

- Option 3: 18 × 9 = 162

- Option 4: 18 × 8 = 144

But let's look at the number added in multiplication in each pair:

- 8 (14 × 8 = 112)

- 13 (24 × 13 = 312)

There’s no clear numerical sequence like +5 or a common multiplier. Let's try to spot a different pattern.

If we examine the first digits:

- For 14: (14, 112) — 14 × 8 = 112

- For 24: (24, 312) — 24 × 13 = 312

If we observe, the difference in the multipliers is 5 (13 - 8 = 5)

If we continue this pattern:

Next multiplier for 18 should be: 13 (previous multiplier) + 5 = 18

- 18 × 18 = 324 (Not in options)

It seems, by the available answer choices, that the pattern is actually just multiplying by a different fixed number, not following a progression.

Let’s match each number with available options:

- 18 × 11 = 198 (Option 1)

- 18 × 10 = 180

- 18 × 9 = 162

- 18 × 8 = 144

Amongst these, option 1 is most consistent if we imagine a descending multiplier sequence:

First used 13, then 8. Next logical step (by sharing factors found in options) is 11.

So, the correct answer is:

Option 1: 198