If P mean `'+'` R means `'xx`' Q means '÷' and S means '-' then 23 P 21 Q 7 R 13 S 11 =

Options

A. 45
B. 51
C. 52
D. 62

Answer

To solve the expression \( 23 P 21 Q 7 R 13 S 11 \) where:
- \( P \) means \( + \)
- \( R \) means \( \times \)
- \( Q \) means \( \div \)
- \( S \) means \( - \)

We will first replace the symbols with their corresponding operations:

1. Replace \( P \) with \( + \):
\[ 23 + 21 Q 7 R 13 S 11 \]

2. Replace \( Q \) with \( \div \):
\[ 23 + 21 \div 7 R 13 S 11 \]

3. Replace \( R \) with \( \times \):
\[ 23 + 21 \div 7 \times 13 S 11 \]

4. Replace \( S \) with \( - \):
\[ 23 + 21 \div 7 \times 13 - 11 \]

Now we have the expression:
\[ 23 + 21 \div 7 \times 13 - 11 \]

Next, we will follow the order of operations (BODMAS/BIDMAS):
1. Division
2. Multiplication
3. Addition
4. Subtraction

**Step 1: Perform the division \( 21 \div 7 \)**:
\[ 21 \div 7 = 3 \]
So now the expression becomes:
\[ 23 + 3 \times 13 - 11 \]

**Step 2: Perform the multiplication \( 3 \times 13 \)**:
\[ 3 \times 13 = 39 \]
Now the expression is:
\[ 23 + 39 - 11 \]

**Step 3: Perform the addition \( 23 + 39 \)**:
\[ 23 + 39 = 62 \]
Now the expression is:
\[ 62 - 11 \]

**Step 4: Perform the subtraction \( 62 - 11 \)**:
\[ 62 - 11 = 51 \]

Thus, the final answer is:
\[ \boxed{51} \]