You are given two series in two rows. In the first row, a full series is given which follows a specific pattern. The second row has a series, similar to the first series but only first element of this series is produced followed by (A), (B), (C), (D) and (E) for the subsequent elements. You have to complete the series starting with a given number and answer the question that follows.
`{:("6","9","18","45","135",),("20","A","B","C","D","E"):}`
What will come in place of C?

Options

A. 30
B. 1125
C. 375
D. 150

Explanation

To solve the problem, we need to identify the pattern in the first series and then apply that pattern to the second series. Let's break it down step by step.

### Step 1: Identify the Pattern in the First Series
The first series is: 6, 9, 18, 45, 135.

1. **From 6 to 9**:
- We multiply by 1.5:
\[ 6 \times 1.5 = 9 \]

2. **From 9 to 18**:
- We multiply by 2:
\[ 9 \times 2 = 18 \]

3. **From 18 to 45**:
- We multiply by 2.5:
\[ 18 \times 2.5 = 45 \]

4. **From 45 to 135**:
- We multiply by 3:
\[ 45 \times 3 = 135 \]

So the pattern of multiplication is increasing by 0.5 each time: 1.5, 2, 2.5, 3.

### Step 2: Apply the Pattern to the Second Series
The second series starts with 20 and follows the same pattern. We need to find A, B, C, D, and E.

1. **Finding A**:
- Multiply 20 by 1.5:
\[ A = 20 \times 1.5 = 30 \]

2. **Finding B**:
- Multiply A (30) by 2:
\[ B = 30 \times 2 = 60 \]

3. **Finding C**:
- Multiply B (60) by 2.5:
\[ C = 60 \times 2.5 = 150 \]

4. **Finding D**:
- Multiply C (150) by 3:
\[ D = 150 \times 3 = 450 \]

5. **Finding E**:
- Multiply D (450) by 3.5:
\[ E = 450 \times 3.5 = 1575 \]

### Conclusion
Thus, the value that comes in place of C is **150**.