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","18","36","108","216","648"),("2","A","B","C","D","E"):}`
What will come in place of E?

Options

A. 482
B. 344
C. 216
D. 420

Explanation

To solve the problem, we need to analyze the first series and identify the pattern, then apply that pattern to the second series to find the value of E.

### Step-by-Step Solution:

1. **Identify the Pattern in the First Series:**
The first series is: 6, 18, 36, 108, 216, 648.
- From 6 to 18: \(6 \times 3 = 18\)
- From 18 to 36: \(18 \times 2 = 36\)
- From 36 to 108: \(36 \times 3 = 108\)
- From 108 to 216: \(108 \times 2 = 216\)
- From 216 to 648: \(216 \times 3 = 648\)

The pattern alternates between multiplying by 3 and multiplying by 2.

2. **Apply the Pattern to the Second Series:**
The second series starts with 2: 2, A, B, C, D, E.
- To find A: \(2 \times 3 = 6\)
- To find B: \(6 \times 2 = 12\)
- To find C: \(12 \times 3 = 36\)
- To find D: \(36 \times 2 = 72\)
- To find E: \(72 \times 3 = 216\)

3. **Final Answer:**
Therefore, the value that will come in place of E is **216**.