What value will come in place of question mark (?) in the questions given below ?
`(4)/(20)xx(?)/(3)xx(18)/(30)=1`

Options

A. 4
B. 5
C. 25
D. 29

Answer

To solve the equation \(\frac{4}{20} \times \frac{?}{3} \times \frac{18}{30} = 1\), we will follow these steps:

### Step 1: Simplify the fractions
First, we simplify the fractions \(\frac{4}{20}\) and \(\frac{18}{30}\).

- \(\frac{4}{20} = \frac{1}{5}\) (by dividing both numerator and denominator by 4)
- \(\frac{18}{30} = \frac{3}{5}\) (by dividing both numerator and denominator by 6)

So, the equation now looks like:
\[ \frac{1}{5} \times \frac{?}{3} \times \frac{3}{5} = 1 \]

### Step 2: Combine the fractions
Now we can combine the fractions:
\[ \frac{1 \times ? \times 3}{5 \times 5 \times 3} = 1 \]
This simplifies to:
\[ \frac{3?}{75} = 1 \]

### Step 3: Cross-multiply to solve for ?
Now we can cross-multiply:
\[ 3? = 75 \]

### Step 4: Solve for ?
To find the value of \(?\), divide both sides by 3:
\[ ? = \frac{75}{3} = 25 \]

Thus, the value that will come in place of the question mark (?) is **25**.

### Final Answer
The answer is \(25\).

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