Explanation:

To solve the problem and find out what comes in place of the question mark, let's break it down:

- Calculate \((6.25)^2\):

$$ 6.25 \times 6.25 = 39.0625 $$

- Multiply this by 100:

$$ 39.0625 \times 100 = 3906.25 $$

- Take the square root:

$$ \sqrt{3906.25} = 62.5 $$

- Add \(\frac{7}{2}\) to 62.5:

$$ 62.5 + 3.5 = 66 $$

- You need $$ ? \times 11 = 66 $$

- Divide 66 by 11:

$$ ? = \frac{66}{11} = 6 $$

Each option checked:

- Option 1 (6): $$ 6 \times 11 = 66 $$ ??

- Option 2 (7): $$ 7 \times 11 = 77 $$

- Option 3 (8): $$ 8 \times 11 = 88 $$

- Option 4 (10): $$ 10 \times 11 = 110 $$

- Option 5 (12): $$ 12 \times 11 = 132 $$

Option 1 is the correct answer. Therefore, option 1 is the right choice.