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.
`{:("3","5","13","43","177","891"),("2","A","B","C","D","E"):}`
What will come in place of D?

Options

A. 173
B. 153
C. 137
D. 147

Explanation

To solve the problem, we need to identify the pattern in the first series and apply it to the second series to find the value of D.

### Step-by-Step Solution:

1. **Identify the Pattern in the First Series**:
The first series is: 3, 5, 13, 43, 177, 891.
- From 3 to 5: \(3 \times 1 + 2 = 5\)
- From 5 to 13: \(5 \times 2 + 3 = 13\)
- From 13 to 43: \(13 \times 3 + 4 = 43\)
- From 43 to 177: \(43 \times 4 + 5 = 177\)
- From 177 to 891: \(177 \times 5 + 6 = 891\)

The pattern involves multiplying the previous term by an increasing integer (1, 2, 3, 4, 5) and adding an increasing integer (2, 3, 4, 5, 6).

2. **Apply the Pattern to the Second Series**:
The second series starts with 2 and follows the same pattern:
- First term: 2
- To find A: \(2 \times 1 + 2 = 4\)
- To find B: \(4 \times 2 + 3 = 11\)
- To find C: \(11 \times 3 + 4 = 37\)

3. **Calculate D**:
Now we need to find D:
- To find D: \(37 \times 4 + 5\)
- Calculate \(37 \times 4 = 148\)
- Then add 5: \(148 + 5 = 153\)

Thus, the value that comes in place of D is **153**.