If P means 'subtraction, Q means 'division, R means addition and S means 'multiplication then 15 Q 3 R 24 P 12 S 2 = ?

Options

A. 7
B. 5
C. 29
D. 9

Answer

To solve the expression \( 15 Q 3 R 24 P 12 S 2 \) using the given meanings of the symbols, we will follow these steps:

1. **Identify the operations**:
- \( P \) means subtraction (-)
- \( Q \) means division (÷)
- \( R \) means addition (+)
- \( S \) means multiplication (×)

2. **Rewrite the expression with the operations**:
The expression \( 15 Q 3 R 24 P 12 S 2 \) can be rewritten as:
\[ 15 \div 3 + 24 - 12 \times 2 \]

3. **Follow the order of operations (BODMAS/BIDMAS)**:
According to the order of operations, we need to perform division and multiplication before addition and subtraction.

4. **Calculate the division**:
\[ 15 \div 3 = 5 \]
Now the expression becomes:
\[ 5 + 24 - 12 \times 2 \]

5. **Calculate the multiplication**:
\[ 12 \times 2 = 24 \]
Now the expression becomes:
\[ 5 + 24 - 24 \]

6. **Perform the addition**:
\[ 5 + 24 = 29 \]
Now the expression becomes:
\[ 29 - 24 \]

7. **Perform the subtraction**:
\[ 29 - 24 = 5 \]

Thus, the final answer is:
\[ \boxed{5} \]