Explanation:

Alright, let's dig into how these pairs are connected.

- First, look at the pair 7:32. The pattern here is 7 × 5 - 3 = 35 - 3 = 32.

- Now, check each option against this rule:

Option 1: 3:11

- 3 × 5 - 3 = 15 - 3 = 12. Nope, that's not 11.

Option 2: 13:98

- 13 × 5 - 3 = 65 - 3 = 62. That's 62, not 98.

Option 3: 12:85

- 12 × 5 - 3 = 60 - 3 = 57. It’s not matching 85 either.

Option 4: 16:145

- 16 × 5 - 3 = 80 - 3 = 77. Still, not close to 145.

So, all options actually use different logic. Maybe another pattern? Let's try square numbers.

- 7² - 17 = 49 - 17 = 32. That fits.

Let’s check the options:

- Option 1: 3² - 17 = 9 - 17 = -8. Doesn't work.

- Option 2: 13² - 71 = 169 - 71 = 98. That fits!

- Option 3: 12² - 59 = 144 - 59 = 85.

- Option 4: 16² - 111 = 256 - 111 = 145.

Options 2, 3, and 4 actually fit this pattern (number squared minus some value equals the second number). But, the original difference is 17, and only Option 2 uses the same difference of 71.

So, based on how they get from the first number to the second, Option 2 (13:98) is the right answer.

Correct Answer: Option 2 (13:98)