What should come in place of the question mark(?) inthe following questions?
`( 5 xx 6)^2(9 xx 6)/(4 xx 6)= ?`

Options

A. a.2025
B. b.2505
C. c.2055
D. d.2502

Answer

To solve the expression \((5 \times 6)^2 \times (9 \times 6) / (4 \times 6) = ?\), we will follow the order of operations (BODMAS/BIDMAS).

### Step-by-Step Solution:

1. **Calculate the expression inside the first bracket:**
\[ 5 \times 6 = 30 \]
**Hint:** Multiply the numbers inside the parentheses first.

2. **Square the result from step 1:**
\[ (30)^2 = 900 \]
**Hint:** Remember that squaring a number means multiplying it by itself.

3. **Calculate the expression inside the second bracket:**
\[ 9 \times 6 = 54 \]
**Hint:** Again, multiply the numbers inside the parentheses.

4. **Calculate the expression inside the third bracket:**
\[ 4 \times 6 = 24 \]
**Hint:** Multiply the numbers in this bracket as well.

5. **Now substitute back into the expression:**
\[ \frac{900 \times 54}{24} \]
**Hint:** Replace the brackets with their calculated values.

6. **Multiply the numerator:**
\[ 900 \times 54 = 48600 \]
**Hint:** Perform the multiplication of the two numbers.

7. **Now divide the result by the denominator:**
\[ \frac{48600}{24} = 2025 \]
**Hint:** Division is the last operation; ensure to simplify correctly.

8. **Final Result:**
The answer is \(2025\).

### Summary:
The value that should come in place of the question mark (?) is \(2025\).