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","7","19","55","163","487"),("10","A","B","C","D","E"):}`
What will come in place of A?

Options

A. 86
B. 22
C. 28
D. 15

Explanation

To solve the problem, we need to identify the pattern in the first series and then apply that pattern to find the missing elements in the second series.

### Step-by-Step Solution:

1. **Identify the Pattern in the First Row:**
The first row of the series is: 3, 7, 19, 55, 163, 487.
We need to find the relationship between consecutive terms.

- From 3 to 7:
- \(3 \times 3 - 2 = 9 - 2 = 7\)
- From 7 to 19:
- \(7 \times 3 - 2 = 21 - 2 = 19\)
- From 19 to 55:
- \(19 \times 3 - 2 = 57 - 2 = 55\)
- From 55 to 163:
- \(55 \times 3 - 2 = 165 - 2 = 163\)
- From 163 to 487:
- \(163 \times 3 - 2 = 489 - 2 = 487\)

The pattern is established: each term is obtained by multiplying the previous term by 3 and then subtracting 2.

2. **Apply the Pattern to the Second Row:**
The second row starts with 10 and has the elements: 10, A, B, C, D, E.
We will apply the same pattern to find A.

- For A:
- \(10 \times 3 - 2 = 30 - 2 = 28\)

3. **Conclusion:**
Therefore, the value that comes in place of A is **28**.

### Final Answer:
A = 28