What value will come in place of the question mark (?) in each of the following questions ?
`21 1/15-:4/135xx1/6=?`

Options

A. 116.5
B. 118.5
C. 118
D. 120

Answer

To solve the equation \( 21 \frac{1}{15} \div \frac{4}{135} \times \frac{1}{6} = ? \), we will follow the order of operations (BODMAS/BIDMAS).

### Step 1: Convert the mixed number to an improper fraction
The mixed number \( 21 \frac{1}{15} \) can be converted to an improper fraction:
\[ 21 \frac{1}{15} = \frac{15 \times 21 + 1}{15} = \frac{315 + 1}{15} = \frac{316}{15} \]

### Step 2: Rewrite the equation
Now we rewrite the equation using the improper fraction:
\[ \frac{316}{15} \div \frac{4}{135} \times \frac{1}{6} \]

### Step 3: Change division to multiplication
To divide by a fraction, we multiply by its reciprocal:
\[ \frac{316}{15} \times \frac{135}{4} \times \frac{1}{6} \]

### Step 4: Multiply the fractions
Now we can multiply the fractions together:
\[ = \frac{316 \times 135 \times 1}{15 \times 4 \times 6} \]

### Step 5: Calculate the denominator
First, calculate the denominator:
\[ 15 \times 4 \times 6 = 360 \]

### Step 6: Calculate the numerator
Now calculate the numerator:
\[ 316 \times 135 = 42760 \]
So, we have:
\[ \frac{42760}{360} \]

### Step 7: Simplify the fraction
Now we simplify the fraction:
\[ \frac{42760 \div 20}{360 \div 20} = \frac{2138}{18} \]

### Step 8: Divide to find the value
Now divide \( 2138 \) by \( 18 \):
\[ 2138 \div 18 = 118.777... \approx 118.5 \]

Thus, the value that comes in place of the question mark is:
\[ ? = 118.5 \]

### Final Answer
The answer is \( 118.5 \).