What will be the value of the expression if the signs '-' and `'-:'` are interchanged ? `38-2+1xx6-:6`

Options

A. 37
B. 20
C. 0
D. 19

Answer

To solve the expression \( 38 - 2 + 1 \times 6 -: 6 \) after interchanging the signs '-' and '-:', we will follow these steps:

1. **Identify the Original Expression**:
The original expression is:
\[ 38 - 2 + 1 \times 6 -: 6 \]

2. **Interchange the Signs**:
We need to interchange '-' (minus) and '-:' (division). After interchanging, the expression becomes:
\[ 38 \div 2 + 1 \times 6 - 6 \]

3. **Apply the Order of Operations (BODMAS/BIDMAS)**:
According to the order of operations, we first perform division and multiplication from left to right, followed by addition and subtraction.

4. **Calculate the Division**:
\[ 38 \div 2 = 19 \]
Now the expression is:
\[ 19 + 1 \times 6 - 6 \]

5. **Calculate the Multiplication**:
\[ 1 \times 6 = 6 \]
Now the expression is:
\[ 19 + 6 - 6 \]

6. **Perform the Addition**:
\[ 19 + 6 = 25 \]
Now the expression is:
\[ 25 - 6 \]

7. **Perform the Subtraction**:
\[ 25 - 6 = 19 \]

Thus, the value of the expression after interchanging the signs is:
\[ \boxed{19} \]