What will come in place of question mark(?) in the following questions?
? of 186 + 565 = 2100 - 202

Options

A. `52/31`
B. `43/6`
C. `71/6`
D. `61/2`

Answer

To solve the equation for the question mark (?), we will follow these steps:

1. **Set up the equation**:
We start with the equation:
\[ ? \times 186 + 565 = 2100 - 202 \]

2. **Simplify the right side**:
Calculate \( 2100 - 202 \):
\[ 2100 - 202 = 1898 \]
Now our equation looks like this:
\[ ? \times 186 + 565 = 1898 \]

3. **Isolate the term with the question mark**:
Subtract 565 from both sides:
\[ ? \times 186 = 1898 - 565 \]

4. **Calculate the right side**:
Perform the subtraction:
\[ 1898 - 565 = 1333 \]
Now the equation is:
\[ ? \times 186 = 1333 \]

5. **Solve for the question mark**:
Divide both sides by 186:
\[ ? = \frac{1333}{186} \]

6. **Calculate the division**:
Performing the division gives:
\[ ? = 7.1516 \text{ (approximately)} \]
To express it as a fraction, we can simplify:
\[ ? = \frac{43}{6} \]

Thus, the value that comes in place of the question mark (?) is:
\[ \frac{43}{6} \]