What approximate value will come in place of question mark (?) in the following questions? (You are not excepted to calculate the exact value.)
`(9.99)^2+13.03xx3.98-(5.01)^3=?-120`

Options

A. 130
B. 124
C. 147
D. 167

Answer

To solve the equation `(9.99)^2 + 13.03 * 3.98 - (5.01)^3 = ? - 120`, we will approximate the values and simplify step by step.

### Step 1: Approximate the values
- Approximate \( 9.99 \) to \( 10 \)
- Approximate \( 13.03 \) to \( 13 \)
- Approximate \( 3.98 \) to \( 4 \)
- Approximate \( 5.01 \) to \( 5 \)

### Step 2: Substitute the approximated values into the equation
The equation now looks like:
\[ (10)^2 + (13) \times (4) - (5)^3 = ? - 120 \]

### Step 3: Calculate the squares and cubes
- Calculate \( (10)^2 = 100 \)
- Calculate \( (5)^3 = 125 \)

### Step 4: Substitute these values back into the equation
Now we have:
\[ 100 + (13 \times 4) - 125 = ? - 120 \]

### Step 5: Calculate \( 13 \times 4 \)
- Calculate \( 13 \times 4 = 52 \)

### Step 6: Substitute this value back into the equation
Now the equation is:
\[ 100 + 52 - 125 = ? - 120 \]

### Step 7: Simplify the left side
Calculate:
\[ 100 + 52 = 152 \]
Then:
\[ 152 - 125 = 27 \]
So we have:
\[ 27 = ? - 120 \]

### Step 8: Solve for ?
Add \( 120 \) to both sides:
\[ 27 + 120 = ? \]
Thus:
\[ ? = 147 \]

### Final Answer
The approximate value that comes in place of the question mark (?) is **147**.

---