What approximate value will come in place of question mark (?)in question
`(1/4xx117div1/3xx16)+?=40`

Options

A. 34
B. 20
C. 6
D. 15

Answer

To solve the equation \( \left( \frac{1}{4} \times 117 \div \frac{1}{3} \times 16 \right) + ? = 40 \), we can follow these steps:

### Step 1: Simplify the expression inside the parentheses
First, we need to simplify \( \frac{1}{4} \times 117 \div \frac{1}{3} \times 16 \).

### Step 2: Calculate \( \frac{1}{4} \times 117 \)
\[ \frac{1}{4} \times 117 = \frac{117}{4} = 29.25 \]

### Step 3: Calculate \( \frac{1}{3} \times 16 \)
\[ \frac{1}{3} \times 16 = \frac{16}{3} \approx 5.33 \]

### Step 4: Divide the results from Step 2 and Step 3
Now we divide the results obtained in Step 2 and Step 3:
\[ 29.25 \div 5.33 \approx 5.5 \]

### Step 5: Substitute back into the equation
Now we substitute back into the equation:
\[ 5.5 + ? = 40 \]

### Step 6: Solve for ?
To find the value of \( ? \), we rearrange the equation:
\[ ? = 40 - 5.5 \]
\[ ? \approx 34.5 \]

### Step 7: Round to the nearest whole number
Since we are looking for an approximate value, we round \( 34.5 \) to \( 35 \).

### Final Answer
Thus, the approximate value that will come in place of the question mark (?) is:
\[ ? \approx 35 \]