What approximate value will come in place of question marks(?) in the given questions?(You are not expected to calculate the exact value.)
`7xx23.846-?=sqrt(18div2+(4.06)^2)`

Options

A. 143
B. 163
C. 183
D. 173

Answer

To find the approximate value that will come in place of the question mark (?) in the equation \( 7 \times 23.846 - ? = \sqrt{18 \div 2 + (4.06)^2} \), we will follow these steps:

### Step 1: Simplify the left side of the equation
First, we need to calculate \( 7 \times 23.846 \). For approximation, we can round \( 23.846 \) to \( 24 \).

\[ 7 \times 24 = 168 \]

### Step 2: Simplify the right side of the equation
Now, we will simplify the right side \( \sqrt{18 \div 2 + (4.06)^2} \).

1. Calculate \( 18 \div 2 \):
\[ 18 \div 2 = 9 \]

2. Calculate \( (4.06)^2 \). For approximation, we can round \( 4.06 \) to \( 4 \):
\[ (4)^2 = 16 \]

3. Now, add the results:
\[ 9 + 16 = 25 \]

4. Finally, take the square root:
\[ \sqrt{25} = 5 \]

### Step 3: Set up the equation
Now we can set up the equation using our approximations:
\[ 168 - ? = 5 \]

### Step 4: Solve for the question mark
To find \( ? \), we rearrange the equation:
\[ ? = 168 - 5 \]
\[ ? = 163 \]

### Conclusion
The approximate value that will come in place of the question mark (?) is **163**.

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