What will come in place of question mark (?) in the following questions ?
`((28)^(2) xx (21)^(2))/(49) + 876 = ? + 542`

Options

A. 7690
B. 7450
C. 7250
D. 7390

Answer

To solve the equation \(\frac{(28)^2 \times (21)^2}{49} + 876 = ? + 542\), we will follow these steps:

### Step 1: Calculate \((28)^2\) and \((21)^2\)

\[ (28)^2 = 784 \]
\[ (21)^2 = 441 \]

### Step 2: Substitute the squares into the equation

Now, substitute these values into the equation:

\[ \frac{784 \times 441}{49} + 876 = ? + 542 \]

### Step 3: Simplify \(\frac{784 \times 441}{49}\)

First, we can simplify \(\frac{784}{49}\):

\[ 784 \div 49 = 16 \]

Now, substitute this back into the equation:

\[ 16 \times 441 + 876 = ? + 542 \]

### Step 4: Calculate \(16 \times 441\)

Now, calculate \(16 \times 441\):

\[ 16 \times 441 = 7056 \]

### Step 5: Substitute back into the equation

Now, substitute this value into the equation:

\[ 7056 + 876 = ? + 542 \]

### Step 6: Add \(7056\) and \(876\)

Now, add \(7056\) and \(876\):

\[ 7056 + 876 = 7932 \]

### Step 7: Set up the equation to find \(?\)

Now we have:

\[ 7932 = ? + 542 \]

### Step 8: Solve for \(?\)

To find \(?\), subtract \(542\) from \(7932\):

\[ ? = 7932 - 542 \]
\[ ? = 7390 \]

Thus, the value that comes in place of the question mark is:

\[ \boxed{7390} \]

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