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.
`{:("2","9","23","51","107","219"),("7","A","B","C","D","E"):}`
What will come in place of D?

Options

A. 91
B. 67
C. 112
D. 187

Explanation

To solve the problem, we need to identify the pattern in the first series and then apply that pattern 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: 2, 9, 23, 51, 107, 219.
- To find the pattern, we can observe how to get from one number to the next:
- From 2 to 9: \(2 \times 2 + 5 = 4 + 5 = 9\)
- From 9 to 23: \(9 \times 2 + 5 = 18 + 5 = 23\)
- From 23 to 51: \(23 \times 2 + 5 = 46 + 5 = 51\)
- From 51 to 107: \(51 \times 2 + 5 = 102 + 5 = 107\)
- From 107 to 219: \(107 \times 2 + 5 = 214 + 5 = 219\)

**Pattern Identified:** Multiply the previous number by 2 and then add 5.

2. **Apply the Pattern to the Second Series:**
The second series starts with 7: 7, A, B, C, D, E.
- We will apply the same pattern to find A, B, C, and D.

3. **Calculate A:**
- \(A = 7 \times 2 + 5 = 14 + 5 = 19\)

4. **Calculate B:**
- \(B = 19 \times 2 + 5 = 38 + 5 = 43\)

5. **Calculate C:**
- \(C = 43 \times 2 + 5 = 86 + 5 = 91\)

6. **Calculate D:**
- \(D = 91 \times 2 + 5 = 182 + 5 = 187\)

### Final Answer:
The value that comes in place of D is **187**.