Find the value of question mark (?) in the following questions given below
` (2 ?9)/(4) =(916)/(16)`

Options

A. 1
B. 3
C. 4
D. 2

Answer

To find the value of the question mark (?) in the equation \((2 ? 9)/(4) = (916)/(16)\), we can follow these steps:

### Step 1: Set up the equation
We start with the equation:
\[ \frac{2?9}{4} = \frac{916}{16} \]

### Step 2: Cross multiply
To eliminate the fractions, we can cross multiply:
\[ 2?9 \times 16 = 4 \times 916 \]

### Step 3: Calculate the right side
Now we calculate \(4 \times 916\):
\[ 4 \times 916 = 3664 \]

### Step 4: Rewrite the equation
Now we can rewrite the equation as:
\[ 2?9 \times 16 = 3664 \]

### Step 5: Divide both sides by 16
Next, we divide both sides by 16 to isolate \(2?9\):
\[ 2?9 = \frac{3664}{16} \]

### Step 6: Calculate the division
Now we calculate \(\frac{3664}{16}\):
\[ \frac{3664}{16} = 229 \]

### Step 7: Interpret the result
Now we have:
\[ 2?9 = 229 \]
This means that \(2?9\) represents a three-digit number where the hundreds digit is 2, the tens digit is ?, and the units digit is 9.

### Step 8: Identify the value of ?
From \(2?9 = 229\), we can see that the only digit that can replace ? to make the number 229 is 2.

### Final Answer
Thus, the value of the question mark (?) is:
\[ \boxed{2} \]