What well Centre in place of the question mark (?) in the following questions?
`(19)^2 - (3)^3 - sqrt(676 )+ 16 = (? )^2`

Options

A. 20
B. 12
C. 24
D. 18

Answer

To solve the equation \( (19)^2 - (3)^3 - \sqrt{676} + 16 = (? )^2 \), we will follow these steps:

### Step 1: Calculate \( (19)^2 \)
\[ (19)^2 = 361 \]

### Step 2: Calculate \( (3)^3 \)
\[ (3)^3 = 27 \]

### Step 3: Calculate \( \sqrt{676} \)
\[ \sqrt{676} = 26 \]

### Step 4: Substitute the calculated values into the equation
Now, we substitute the values we calculated into the equation:
\[ 361 - 27 - 26 + 16 = x^2 \]

### Step 5: Perform the arithmetic operations
First, calculate \( 361 - 27 \):
\[ 361 - 27 = 334 \]
Next, subtract \( 26 \):
\[ 334 - 26 = 308 \]
Finally, add \( 16 \):
\[ 308 + 16 = 324 \]

### Step 6: Set the equation equal to \( x^2 \)
Now we have:
\[ 324 = x^2 \]

### Step 7: Solve for \( x \)
To find \( x \), we take the square root of both sides:
\[ x = \sqrt{324} = 18 \]

### Final Answer
Thus, the value that replaces the question mark (?) is:
\[ \boxed{18} \]