Explanation:

Let’s break it down together:

- Look at the pattern between each pair:

- 625 : 5 – Take the cube root of 625. It’s not 5, but if you look deeper: 54 = 625. So, 625 is 5 raised to the power of 4.

- 2560 : 8 – What power of 8 gives 2560? 8³ = 512, and 84 = 4096. Not a direct power. But, 2560 divided by 8 is 320.

- Wait, let’s check if it’s division each time. 625 ÷ 5 = 125, which is 5³. 2560 ÷ 8 = 320.

- Hold up—let’s try division:

- 625 ÷ 5 = 125 ? 125 is 5³

- 2560 ÷ 8 = 320 ? 320 is 8² + 8° (but that feels forced)

- The clean pattern: each first number divided by the second equals the second number cubed. Is that it?

- 625 ÷ 5 = 125 = 5³

- 2560 ÷ 8 = 320 = 8³ = 512 (Nope, doesn’t match.)

- Let’s try the pattern of dividing the number until you get the second:

- 625 is 5 × 5 × 5 × 5 (that’s 54)

- 2560 ÷ 8 = 320, not a cube or square.

But hang on. Let’s just check the options for 5000.

- 5000 ÷ 10 = 500

- 5000 ÷ 12 ˜ 416.67

- 5000 ÷ 9 ˜ 555.56

- 5000 ÷ 15 ˜ 333.33

Still not matching the earlier pattern. But with the numbers given, none fit a clean cube or square, but dividing 625 by 5 gives 125, which is 5³. Similarly, do any options fit 5000 / x = x³?

- Try 10:

- 10³ = 1000. 5000 / 10 = 500 (No)

- Try 15:

- 15³ = 3375. 5000 / 15 = 333.33 (No)

- Try 12:

- 12³ = 1728. 5000 / 12 ˜ 416.67 (No)

- Try 9:

- 9³ = 729. 5000 / 9 ˜ 555.56 (No)

So, clearly, only the first pair fits nicely with the cube, the other don’t match. This suggests the pattern is the first number is the second raised to the fourth.

- 625 = 54

- Is 2560 = 84? 84 = 4096, so that doesn’t fit.

- Your answer, Option: 3 - 10, doesn’t fit any clean math here either.

- No pattern connects the numbers to 10 directly.

- The only proper pattern is with 625 and 5, where 625 = 54, but the rest don’t fit, so none of the options match the middle or last number by a clear rule.

- Given the options, none are clearly correct by any common mathematical relation, but if you must pick the closest pattern, Option 3 isn’t it.