Explanation:

Let’s break this down step by step:

- The given pattern is: 5 : 45 :: 3 : 3 :: 6 : ?

- First pair: 5 to 45

- 5 × 9 = 45

- Second pair: 3 to 3

- 3 × 1 = 3

- The underlying pattern is that the second number is the first number multiplied by an odd number: 9 for 5, 1 for 3.

Now, what about 6?

- Continuing this idea, it looks like every time the multiplier goes down by 8.

- So, for 5 it’s 9, for 3 it’s 1. The gap is -8. For 6, you’d expect the next in sequence (either up or down from 1).

- But let's check the options with 6:

- 6 × 15 = 90 (Option 1)

- 6 × 17.66 = 106 (Option 2 — not likely, not a whole number)

- 6 × 18.33 = 110 (Option 3 — again, not a whole number)

- 6 × 16 = 96 (Option 4)

- 16 is the next odd number after 1, 9 (if you follow +8 from 1). But that doesn't line up with the previous progression. Might be another pattern.

- Let’s try simply: For 5, 5 × (5 + 4) = 45. For 3: 3 × (3 + 0) = 3. For 6: 6 × (6 + ?) = Option?

Try plugging in option 4:

- 6 × 16 = 96.

So if the pattern is n × (n + (n - 1)), then for 5, it’s 5 × 9, for 3, 3 × 1, for 6, 6 × 16, which could fit.

So, here’s what really matters:

- Option 1: 90

- Option 2: 106

- Option 3: 110

- Option 4: 96

The right answer is Option 4—96.