Find the value of question mark(?) in the following questions ?
`71+(72)/7xx56/(21)`=?

Options

A. `(923)/7`
B. `689/7`
C. `(121)/4`
D. `9/(194)`

Answer

To find the value of the question mark (?) in the expression \( 71 + \frac{72}{7} \times \frac{56}{21} \), 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. **Write the expression clearly**:
\[ 71 + \frac{72}{7} \times \frac{56}{21} \]

2. **Calculate the division**:
First, we simplify \( \frac{56}{21} \):
\[ \frac{56}{21} = \frac{56 \div 7}{21 \div 7} = \frac{8}{3} \]
Now, substitute this back into the expression:
\[ 71 + \frac{72}{7} \times \frac{8}{3} \]

3. **Multiply the fractions**:
Now we multiply \( \frac{72}{7} \) by \( \frac{8}{3} \):
\[ \frac{72 \times 8}{7 \times 3} = \frac{576}{21} \]

4. **Add to 71**:
Now we add this result to 71. To do this, we need a common denominator. The common denominator for 71 (which can be written as \( \frac{71 \times 21}{21} \)) is 21:
\[ 71 = \frac{71 \times 21}{21} = \frac{1491}{21} \]
Now we can add:
\[ \frac{1491}{21} + \frac{576}{21} = \frac{1491 + 576}{21} = \frac{2067}{21} \]

5. **Simplify the fraction**:
Now, we simplify \( \frac{2067}{21} \):
\[ 2067 \div 21 = 98.42857 \ldots \]
This is approximately \( 98.43 \) when rounded to two decimal places.

### Final Answer:
Thus, the value of the question mark (?) is:
\[ \frac{2067}{21} \text{ or approximately } 98.43 \]