Explanation:

Let’s break this down:

- We’re given pairs and a sequence:

- 7 : 345

- 5 : 127

- 6 : ?

- Need to find the pattern connecting the numbers.

Let’s test for a formula:

- First pair: 7 ? 345

- Check if 7³ - 1 = 343 - 1 = 342. Doesn’t match.

- What about 7 × 49 + 7 × 2 = 343 + 14 = 357. Not matching.

- Let’s see the relationship in the second: 5 : 127

- 5³ = 125; 127 is just 2 more.

- But 7³ = 343, and 345 is 2 more.

Wait—notice this:

- 7³ = 343.

345 - 343 = 2

- 5³ = 125.

127 - 125 = 2

So the pattern is:

- Take the first number, cube it, add 2.

Let’s use that for 6:

- 6³ = 216

216 + 2 = 218

So:

- Option 1, 218, is the answer.

Just to clarify the other options:

- 228, 238, 208—all not fitting the pattern.