What is the value of `24-[48-:{48xx(48-:(24xx24))}]` ?

Options

A. 16
B. 12
C. 18
D. 20

Answer

To solve the expression \( 24 - [48 - \{48 \times (48 - (24 \times 24))\}] \), we will follow the order of operations, often referred to as BODMAS/BIDMAS (Brackets, Orders, Division/Multiplication, Addition/Subtraction).

### Step-by-Step Solution:

1. **Calculate the innermost bracket**:
\[ 24 \times 24 = 576 \]
Now, substitute this back into the expression:
\[ 24 - [48 - \{48 \times (48 - 576)\}] \]

2. **Calculate the expression inside the parentheses**:
\[ 48 - 576 = -528 \]
Now, substitute this value back into the expression:
\[ 24 - [48 - \{48 \times -528\}] \]

3. **Calculate the multiplication**:
\[ 48 \times -528 = -25344 \]
Now, substitute this value back into the expression:
\[ 24 - [48 - (-25344)] \]

4. **Simplify the expression inside the brackets**:
\[ 48 - (-25344) = 48 + 25344 = 25392 \]
Now, substitute this value back into the expression:
\[ 24 - 25392 \]

5. **Final subtraction**:
\[ 24 - 25392 = -25368 \]

Thus, the final value of the expression \( 24 - [48 - \{48 \times (48 - (24 \times 24))\}] \) is \(-25368\).