Explanation:

Let's break down the relationship:

- 14 : 112

- If you multiply 14 × 8 = 112

- So, the pattern is Number × 8

Now apply the same to the second pair:

- 18 × 8 = 144

Let's check the options:

- Option 1: 183 (18 × 10.166... not matching the pattern)

- Option 2: 181 (18 × 10.055... not matching either)

- Option 3: 180 (18 × 10 = 180, but the expected pattern is ×8)

- Option 4: 184 (18 × 10.222... not matching)

None of the options match the ×8 pattern. Let's check for another pattern:

Second possible pattern: 14 : 112

- 14 × 8 = 112

So, for 18, using the same logic:

- 18 × 8 = 144

However, 144 is NOT among the options. Since none match, let's check if it's using a different formula, perhaps (number² - number):

- 14² - 14 = 196 - 14 = 182 (not 112)

- Is it (number² - number × 2)?

14² - (14 × 2) = 196 - 28 = 168 (not matching)

Given all this, let's stick with ×8, for which the answer should be 144, but that's NOT among the options.

Of the options given, 180 (Option 3) would be 18 × 10.

Summary:

- The logic is not consistent with the options.

- Since ×8 is consistent from first pair but doesn't fit any option, none are "fully correct".