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","10","26","83","336","1683"),("7","A","B","C","D","E"):}`
What will come in place of B?

Options

A. 32
B. 30
C. 34
D. 36

Explanation

To solve the problem, we will first identify the pattern in the first series and then apply that pattern to the second series to find the value of B.

### Step-by-step Solution:

1. **Identify the Pattern in the First Series:**
The first series is: 3, 10, 26, 83, 336, 1683.
- To go from 3 to 10:
\[ 3 \times 1 + 7 = 10 \]
- To go from 10 to 26:
\[ 10 \times 2 + 6 = 26 \]
- To go from 26 to 83:
\[ 26 \times 3 + 5 = 83 \]
- To go from 83 to 336:
\[ 83 \times 4 + 4 = 336 \]
- To go from 336 to 1683:
\[ 336 \times 5 + 3 = 1683 \]

The pattern we observe is:
- Multiply the previous number by an increasing integer (1, 2, 3, 4, 5) and then add a decreasing integer (7, 6, 5, 4, 3).

2. **Apply the Pattern to the Second Series:**
The second series starts with 7: 7, A, B, C, D, E.
- To find A:
\[ 7 \times 1 + 7 = 14 \]
- Now we have A = 14.

3. **Find B:**
- To find B, we will use A:
\[ A \times 2 + 6 = 14 \times 2 + 6 = 28 + 6 = 34 \]
- Therefore, B = 34.

### Final Answer:
The value that will come in place of B is **34**.