Explanation:

Let’s break this down.

- The pair is 15 : 65. What’s the link? Look closer:

15 × 4 + 5 = 60 + 5 = 65.

Now, let's check out your options using this exact pattern (multiply by 4, then add 5):

- Option 1: 33 : 141

33 × 4 + 5 = 132 + 5 = 137.

Nope, not a match.

- Option 2: 8 : 28

8 × 4 + 5 = 32 + 5 = 37.

Also doesn’t fit.

- Option 3: 26 : 102

26 × 4 + 5 = 104 + 5 = 109.

Still no.

- Option 4: 18 : 82

18 × 4 + 5 = 72 + 5 = 77.

Another miss.

None of the options match the exact relationship of “(number × 4) + 5”. But let’s not give up yet.

Let’s try another angle. 15 : 65. Maybe it’s “(number × something) + something else”?

- Option 1: 33 × 4 + 9 = 132 + 9 = 141 (Hey, that matches the second number)

- Let’s check with the original: 15 × 4 + 5 = 65. Yes.

But in option 1, it’s +9, not +5 (it's inconsistent). Check for squares maybe: 15^2 – 160 = 65? No.

None fit perfectly... Let’s try dividing.

But looking at the raw math, none of the options actually use the same simple formula as 15 to 65.

So here’s the thing:

None of the given options match the exact pattern, but if forced to choose the closest, Option 1 comes the nearest with a “multiply by 4 and add a small digit” pattern. But, strictly, none are right. If this is from a source, maybe there’s a typo in the options.