What approximate value will come in place of question mark (?) in the following questions ? (you are not expexted to calculate the exact value )
`(14.98)^2+(12.01)^2-(10.98)^2=?+95+5`

Options

A. 218
B. 148
C. 129
D. 208

Answer

To solve the equation \( (14.98)^2 + (12.01)^2 - (10.98)^2 = ? + 95 + 5 \), we will approximate the values for easier calculation. Here’s a step-by-step breakdown:

### Step 1: Approximate the Values
- \( 14.98 \approx 15 \)
- \( 12.01 \approx 12 \)
- \( 10.98 \approx 11 \)

### Step 2: Calculate the Squares
Now, we calculate the squares of the approximated values:
- \( (15)^2 = 225 \)
- \( (12)^2 = 144 \)
- \( (11)^2 = 121 \)

### Step 3: Substitute the Squares into the Equation
Now substitute these values back into the equation:
\[ (15)^2 + (12)^2 - (11)^2 = 225 + 144 - 121 \]

### Step 4: Perform the Addition and Subtraction
Now, perform the addition and subtraction:
\[ 225 + 144 = 369 \]
\[ 369 - 121 = 248 \]

### Step 5: Set Up the Equation
Now we set up the equation:
\[ 248 = ? + 95 + 5 \]

### Step 6: Simplify the Right Side
Combine \( 95 + 5 \):
\[ 95 + 5 = 100 \]
So the equation becomes:
\[ 248 = ? + 100 \]

### Step 7: Solve for ?
To find \( ? \), subtract 100 from both sides:
\[ ? = 248 - 100 = 148 \]

### Final Answer
The approximate value that will come in place of question mark (?) is \( 148 \).

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