Explanation:

Alright, let’s work through this.

- First, look at the pair 11:72. You want to spot the link between the numbers.

- If you check for simple multiplication: 11 * 6 + 6 = 66 + 6 = 72.

- So, the rule looks like N : (N×6 + 6).

Let’s see which option fits:

Option 1: 9 : 48

- 9×6 = 54

- 54+6 = 60 (but the pair says 48, so nope)

Option 2: 3:7

- 3×6 = 18

- 18+6 = 24 (not 7, so not this one)

Option 3: 7:32

- 7×6 = 42

- 42+6 = 48 (option says 32—so, no)

Option 4: 15:95

- 15×6 = 90

- 90+6 = 96 (but pair has 95; again, doesn’t match)

So none of the options seem to match exactly. But let’s double-check—maybe there's a twist.

Is it just multiplication?

- 11×6 = 66, 11×7=77.

No, that doesn't work.

What about adding some number?

- 11×7 - 5 = 77-5=72. Huh.

Let's check that:

- 9×7-5 = 63-5=58 (pair is 48)

- 3×7-5=21-5=16 (no)

- 7×7-5=49-5=44 (no)

- 15×7-5=105-5=100 (no)

Alright, so let's try increment powers or squares.

Is it 11^2 - 49 = 121-49=72? 49=7^2. Next, 9^2- 33=81-33=48. 33=5.7^2 (no, odd).

At this point, none fit squarely.

Here’s the bottom line:

- The relation is not clear or direct for any given options, which means either the rule is trickier than it looks, or the options are off.

- Typically, with 11:72, the pattern should match for one option, but here, none do cleanly.

If you’re looking for a formula like N×6+6, then none of the options fit. If there’s another pattern, it’s not showing up with these numbers.

So, the answer isn't Option 3, and none of the other options strictly fit either. If I had to pick closest, maybe 15:95, since 15×6+5=95, but that isn’t the same operation. Still, none fit the exact pattern of 11:72.