What approximate value will come in place of question mark (?) in the following questions? (You are not excepted to calculate the exact value.)
`111.01-211.09+(12.01)^2=?-(4.09)^2`

Options

A. 45
B. 35
C. 60
D. 85

Answer

To solve the equation \( 111.01 - 211.09 + (12.01)^2 = ? - (4.09)^2 \), we will approximate the values step by step.

### Step 1: Approximate the values
- Start with \( 111.01 \) which can be approximated to \( 111 \).
- Next, approximate \( 211.09 \) to \( 211 \).
- For \( (12.01)^2 \), we can approximate \( 12.01 \) to \( 12 \). Therefore, \( (12.01)^2 \approx (12)^2 = 144 \).
- For \( (4.09)^2 \), we can approximate \( 4.09 \) to \( 4 \). Therefore, \( (4.09)^2 \approx (4)^2 = 16 \).

### Step 2: Substitute the approximated values into the equation
Now substituting the approximated values into the equation:
\[ 111 - 211 + 144 = ? - 16 \]

### Step 3: Simplify the left side
Calculate the left side:
\[ 111 - 211 = -100 \]
Then add \( 144 \):
\[ -100 + 144 = 44 \]
So, we have:
\[ 44 = ? - 16 \]

### Step 4: Solve for the question mark (?)
To find \( ? \), add \( 16 \) to both sides:
\[ ? = 44 + 16 \]
Calculating this gives:
\[ ? = 60 \]

### Final Answer
The approximate value that will come in place of the question mark (?) is \( 60 \).

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