`21.6-:3.6xx2+0.25xx16-:4-6` is equal to :

Options

A. 6
B. 5
C. 8
D. 7

Answer

To solve the expression \( 21.6 \div 3.6 \times 2 + 0.25 \times 16 \div 4 - 6 \), we will follow the order of operations, often remembered by the acronym BODMAS/BIDMAS (Brackets, Orders, Division and Multiplication, Addition and Subtraction).

### Step-by-step Solution:

1. **Identify the expression**:
\[ 21.6 \div 3.6 \times 2 + 0.25 \times 16 \div 4 - 6 \]

2. **Perform the division \( 21.6 \div 3.6 \)**:
\[ 21.6 \div 3.6 = 6 \]
So now the expression becomes:
\[ 6 \times 2 + 0.25 \times 16 \div 4 - 6 \]

3. **Next, perform the multiplication \( 6 \times 2 \)**:
\[ 6 \times 2 = 12 \]
Now the expression is:
\[ 12 + 0.25 \times 16 \div 4 - 6 \]

4. **Now, calculate \( 0.25 \times 16 \)**:
\[ 0.25 \times 16 = 4 \]
The expression now looks like:
\[ 12 + 4 \div 4 - 6 \]

5. **Next, perform the division \( 4 \div 4 \)**:
\[ 4 \div 4 = 1 \]
The expression simplifies to:
\[ 12 + 1 - 6 \]

6. **Now, perform the addition \( 12 + 1 \)**:
\[ 12 + 1 = 13 \]
The expression is now:
\[ 13 - 6 \]

7. **Finally, perform the subtraction \( 13 - 6 \)**:
\[ 13 - 6 = 7 \]

### Final Answer:
The value of the expression \( 21.6 \div 3.6 \times 2 + 0.25 \times 16 \div 4 - 6 \) is \( 7 \).