What should come in place of question mark ? In the following questions ?
`(140 + 80 xx 2 - 24) div (80 +20 xx 3 - 40) = ?`

Options

A. 276
B. `-27.6`
C. `2.76`
D. `0.276`

Answer

To solve the expression `(140 + 80 x 2 - 24) ÷ (80 + 20 x 3 - 40)`, we will follow the order of operations, often referred to as BODMAS/BIDMAS (Brackets, Orders, Division and Multiplication, Addition and Subtraction).

### Step-by-Step Solution:

1. **Evaluate the expression inside the first bracket:**
\[ 140 + 80 \times 2 - 24 \]
- First, perform the multiplication:
\[ 80 \times 2 = 160 \]
- Now substitute back into the expression:
\[ 140 + 160 - 24 \]
- Next, perform the addition:
\[ 140 + 160 = 300 \]
- Finally, perform the subtraction:
\[ 300 - 24 = 276 \]

2. **Evaluate the expression inside the second bracket:**
\[ 80 + 20 \times 3 - 40 \]
- First, perform the multiplication:
\[ 20 \times 3 = 60 \]
- Now substitute back into the expression:
\[ 80 + 60 - 40 \]
- Next, perform the addition:
\[ 80 + 60 = 140 \]
- Finally, perform the subtraction:
\[ 140 - 40 = 100 \]

3. **Now substitute the results back into the main expression:**
\[ \frac{276}{100} \]

4. **Perform the division:**
\[ 276 \div 100 = 2.76 \]

Thus, the value that should come in place of the question mark is:
\[ \boxed{2.76} \]