What value will come in place of question mark(?) in the question
4585`xx 1/16 xx 2/? xx 4/5 = 65.5`

Options

A. 7
B. 14
C. 4
D. 8

Answer

To solve the equation \( 4585 \times \frac{1}{16} \times \frac{2}{?} \times \frac{4}{5} = 65.5 \), we will follow these steps:

### Step 1: Set up the equation
Let \( ? = x \). The equation can be rewritten as:
\[ 4585 \times \frac{1}{16} \times \frac{2}{x} \times \frac{4}{5} = 65.5 \]

### Step 2: Simplify the equation
First, we can simplify the fractions:
\[ \frac{2}{x} \times \frac{4}{5} = \frac{8}{5x} \]
Now, substituting this back into the equation gives:
\[ 4585 \times \frac{1}{16} \times \frac{8}{5x} = 65.5 \]

### Step 3: Combine the constants
Now, we can combine the constants:
\[ \frac{4585 \times 8}{16 \times 5x} = 65.5 \]

### Step 4: Calculate \( \frac{4585 \times 8}{16 \times 5} \)
First, calculate \( 16 \times 5 = 80 \):
\[ \frac{4585 \times 8}{80x} = 65.5 \]
Now, calculate \( 4585 \times 8 = 36680 \):
\[ \frac{36680}{80x} = 65.5 \]

### Step 5: Cross-multiply to solve for \( x \)
Cross-multiplying gives:
\[ 36680 = 65.5 \times 80x \]
Calculating \( 65.5 \times 80 = 5240 \):
\[ 36680 = 5240x \]

### Step 6: Solve for \( x \)
Now, divide both sides by 5240:
\[ x = \frac{36680}{5240} \]
Calculating this gives:
\[ x = 7 \]

### Conclusion
Thus, the value that comes in place of the question mark is:
\[ \boxed{7} \]