What well Centre in place of the question mark (?) in the following questions?
`( 546 -434 ) div16 = ? div (-5)`

Options

A. 55
B. `-28`
C. `-35`
D. `45`

Answer

To solve the equation \( (546 - 434) \div 16 = ? \div (-5) \), we will follow a step-by-step approach.

### Step 1: Calculate the expression inside the parentheses
First, we need to perform the subtraction in the parentheses:

\[ 546 - 434 \]

Calculating this gives:

\[ 546 - 434 = 112 \]

### Step 2: Substitute the result back into the equation
Now, we substitute the result back into the equation:

\[ 112 \div 16 = ? \div (-5) \]

### Step 3: Perform the division on the left side
Next, we divide 112 by 16:

\[ 112 \div 16 = 7 \]

So now our equation looks like this:

\[ 7 = ? \div (-5) \]

### Step 4: Solve for the question mark (?)
To find the value of the question mark, we can multiply both sides of the equation by -5:

\[ ? = 7 \times (-5) \]

Calculating this gives:

\[ ? = -35 \]

### Final Answer
Thus, the value of the question mark is:

\[ ? = -35 \]