Simplify : `6 -: 6 + 6 xx 6 - 6 `

Options

A. 1
B. 7
C. 31
D. 36

Answer

To simplify the expression `6 -: 6 + 6 xx 6 - 6`, we will follow the order of operations known as BODMAS/BIDMAS (Brackets, Orders, Division and Multiplication, Addition and Subtraction).

### Step-by-Step Solution:

1. **Identify the operations**: The expression contains division (denoted by `-:`), multiplication (denoted by `xx`), addition, and subtraction.

2. **Rewrite the expression**: The expression can be rewritten for clarity:
\[ \frac{6}{6} + 6 \times 6 - 6 \]

3. **Perform division first**: According to BODMAS, we first perform the division:
\[ \frac{6}{6} = 1 \]
Now the expression looks like:
\[ 1 + 6 \times 6 - 6 \]

4. **Next, perform multiplication**: Now we perform the multiplication:
\[ 6 \times 6 = 36 \]
The expression now is:
\[ 1 + 36 - 6 \]

5. **Perform addition**: Now we add:
\[ 1 + 36 = 37 \]
The expression now is:
\[ 37 - 6 \]

6. **Finally, perform subtraction**: Now we subtract:
\[ 37 - 6 = 31 \]

### Final Answer:
The simplified expression is:
\[ \boxed{31} \]