If P denotes `-:` , Q denotes `xx`, R denotes + and S denotes -, then the value of 18Q 12P 4R 5S 6 when simlplified gives

Options

A. 36
B. 53
C. 59
D. 65

Explanation

To solve the expression \( 18Q12P4R5S6 \) using the given operations, we will follow these steps:

### Step 1: Replace the symbols with their corresponding operations
- \( Q \) denotes multiplication (xx)
- \( P \) denotes division (-:)
- \( R \) denotes addition (+)
- \( S \) denotes subtraction (-)

Thus, the expression \( 18Q12P4R5S6 \) can be rewritten as:
\[ 18 \times 12 \div 4 + 5 - 6 \]

### Step 2: Follow the order of operations (BODMAS/BIDMAS)
According to the BODMAS rule, we perform operations in the following order:
1. Brackets
2. Orders (i.e., powers and square roots, etc.)
3. Division and Multiplication (from left to right)
4. Addition and Subtraction (from left to right)

Since there are no brackets or orders in our expression, we start with division and multiplication.

### Step 3: Perform the division
Calculate \( 12 \div 4 \):
\[ 12 \div 4 = 3 \]

### Step 4: Substitute back into the expression
Now, substitute this value back into the expression:
\[ 18 \times 3 + 5 - 6 \]

### Step 5: Perform the multiplication
Calculate \( 18 \times 3 \):
\[ 18 \times 3 = 54 \]

### Step 6: Substitute back into the expression
Now, substitute this value back into the expression:
\[ 54 + 5 - 6 \]

### Step 7: Perform the addition
Calculate \( 54 + 5 \):
\[ 54 + 5 = 59 \]

### Step 8: Perform the subtraction
Finally, calculate \( 59 - 6 \):
\[ 59 - 6 = 53 \]

### Final Answer
Thus, the value of the expression \( 18Q12P4R5S6 \) when simplified is:
\[ \boxed{53} \]

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