What will come in place of question mark (?) in the following questions
`sqrt(?)` of 6 + 20% of 95 = `(1)/(2)` of 62

Options

A. 3
B. 4
C. 5
D. 6

Answer

To solve the equation given in the question, we need to find the value of the question mark (?). Let's denote the question mark as \( x \). The equation can be formulated as follows:

\[ \sqrt{x} \cdot 6 + 20\% \text{ of } 95 = \frac{1}{2} \text{ of } 62 \]

### Step 1: Rewrite the equation
We can rewrite the equation in a more manageable form:
\[ \sqrt{x} \cdot 6 + 0.2 \cdot 95 = 0.5 \cdot 62 \]

### Step 2: Calculate \( 20\% \) of \( 95 \)
Calculating \( 20\% \) of \( 95 \):
\[ 20\% \text{ of } 95 = \frac{20}{100} \cdot 95 = 0.2 \cdot 95 = 19 \]

### Step 3: Calculate \( \frac{1}{2} \) of \( 62 \)
Calculating \( \frac{1}{2} \) of \( 62 \):
\[ \frac{1}{2} \cdot 62 = 31 \]

### Step 4: Substitute the values back into the equation
Now substituting these values back into the equation:
\[ \sqrt{x} \cdot 6 + 19 = 31 \]

### Step 5: Isolate the term with \( \sqrt{x} \)
Next, we isolate the term with \( \sqrt{x} \):
\[ \sqrt{x} \cdot 6 = 31 - 19 \]
\[ \sqrt{x} \cdot 6 = 12 \]

### Step 6: Solve for \( \sqrt{x} \)
Now, divide both sides by \( 6 \):
\[ \sqrt{x} = \frac{12}{6} = 2 \]

### Step 7: Square both sides to find \( x \)
Finally, square both sides to find \( x \):
\[ x = 2^2 = 4 \]

### Conclusion
Thus, the value of the question mark (?) is:
\[ \boxed{4} \]