Explanation:

Let’s break this down:

- We need to figure out the pattern between the pairs.

- 2809 : 53 ? At first glance, 53 squared is 2809 (since 53 × 53 = 2809).

- So, the rule is: second number squared equals the first number.

Let’s try this logic with the second set:

- 1504 : ? ? Which number squared is 1504?

- v1504 ˜ 38.8—but that's not a whole number. It doesn’t fit as neatly as before.

Let’s check all options:

- Option 1, 31: 31 x 31 = 961 (Not a match)

- Option 2, 35: 35 x 35 = 1225 (Nope)

- Option 3, 32: 32 x 32 = 1024 (Still not 1504)

- Option 4, 33: 33 x 33 = 1089 (Not close)

None of these squared give 1504. But maybe there’s a twist in the relationship. Let's check 2809 - 53 = 2756, which doesn't match the next set either. Let’s try 2809 ÷ 53 = 53. Again, doesn’t match up.

But based on the most obvious pattern—square root gave the number in the first pair; none of the options squared equals 1504. So, unless it’s about proximity, none fit cleanly.