`2 ? 63 div 11 = 233`

Options

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

Answer

To solve the equation \( 2 ? 63 \div 11 = 233 \), we will follow these steps:

### Step 1: Understand the equation
The equation can be interpreted as a number represented by \( 2?63 \) being divided by 11 to yield 233. Here, the question mark represents a single digit.

### Step 2: Rewrite the equation
We can rewrite the equation as:
\[ \frac{2?63}{11} = 233 \]

### Step 3: Multiply both sides by 11
To eliminate the division, we multiply both sides by 11:
\[ 2?63 = 233 \times 11 \]

### Step 4: Calculate \( 233 \times 11 \)
Now, we calculate \( 233 \times 11 \):
\[ 233 \times 11 = 2330 + 233 = 2563 \]

### Step 5: Set up the equation
Now we have:
\[ 2?63 = 2563 \]

### Step 6: Identify the digit represented by the question mark
From the equation \( 2?63 = 2563 \), we can see that the digit represented by the question mark is 5. Therefore:
\[ ? = 5 \]

### Step 7: Conclusion
The value of the question mark is 5.