If A denotes + , B denotes '-' , C denotes `'div'` , D denotes `xx` then the value of the expression 9 D 48 C 6 B 16 A 3 is

Options

A. 53
B. 35
C. 59
D. 56

Answer

To solve the expression \( 9 D 48 C 6 B 16 A 3 \), we first need to replace the letters with their corresponding mathematical operations:

- A denotes \( + \) (addition)
- B denotes \( - \) (subtraction)
- C denotes \( \div \) (division)
- D denotes \( \times \) (multiplication)

Thus, the expression becomes:

\[ 9 \times 48 \div 6 - 16 + 3 \]

Now, we will follow the order of operations, often remembered by the acronym PEMDAS (Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right)).

### Step-by-Step Solution:

1. **Perform Division**:
\[ 48 \div 6 = 8 \]
Now the expression is:
\[ 9 \times 8 - 16 + 3 \]

2. **Perform Multiplication**:
\[ 9 \times 8 = 72 \]
Now the expression is:
\[ 72 - 16 + 3 \]

3. **Perform Subtraction**:
\[ 72 - 16 = 56 \]
Now the expression is:
\[ 56 + 3 \]

4. **Perform Addition**:
\[ 56 + 3 = 59 \]

Thus, the final value of the expression \( 9 D 48 C 6 B 16 A 3 \) is \( 59 \).

### Final Answer:
The value of the expression is \( 59 \).