What approximate value will come in place of question mark (?) in the following questions. (You are not expected to find the exact value)
`19999.92 div 49.87 xx 2.01 - 70.93 = (?)^(3)`

Options

A. 5
B. 8
C. 9
D. 2

Answer

To solve the problem step by step, we will approximate the values and perform the operations as indicated in the question.

### Step 1: Approximate the values
We start with the expression:
\[ 19999.92 \div 49.87 \times 2.01 - 70.93 \]

We can approximate:
- \( 19999.92 \approx 20000 \)
- \( 49.87 \approx 50 \)
- \( 2.01 \approx 2 \)
- \( 70.93 \approx 71 \)

So, we rewrite the expression using these approximations:
\[ 20000 \div 50 \times 2 - 71 \]

### Step 2: Perform the division
Now, we perform the division:
\[ 20000 \div 50 = 400 \]

### Step 3: Perform the multiplication
Next, we multiply the result by 2:
\[ 400 \times 2 = 800 \]

### Step 4: Perform the subtraction
Now, we subtract 71 from the result:
\[ 800 - 71 = 729 \]

### Step 5: Set up the equation
We have:
\[ 729 = (?)^3 \]

### Step 6: Find the cube root
To find the value of \( ? \), we need to determine the cube root of 729:
\[ ? = \sqrt[3]{729} = 9 \]

Thus, the approximate value that will come in place of the question mark (?) is:
\[ ? = 9 \]

### Final Answer
The answer is \( 9 \).

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