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","4","10","33","136",),("7","A","B","C","D","E"):}`
What will come in place of E?

Options

A. 57
B. 1165
C. 18
D. 1398

Explanation

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

### Step-by-step Solution:

1. **Identify the Pattern in the First Series:**
The first series is: 3, 4, 10, 33, 136.
- From 3 to 4:
\[ 3 \times 1 + 1 = 4 \]
- From 4 to 10:
\[ 4 \times 2 + 2 = 10 \]
- From 10 to 33:
\[ 10 \times 3 + 3 = 33 \]
- From 33 to 136:
\[ 33 \times 4 + 4 = 136 \]

The pattern is:
\[ \text{Next term} = \text{Current term} \times n + n \]
where \( n \) is the position in the sequence (1, 2, 3, 4, ...).

2. **Apply the Pattern to the Second Series:**
The second series starts with 7 and follows the same pattern:
- First term (given):
\[ 7 \]
- For A (1st position):
\[ A = 7 \times 1 + 1 = 8 \]
- For B (2nd position):
\[ B = 8 \times 2 + 2 = 16 + 2 = 18 \]
- For C (3rd position):
\[ C = 18 \times 3 + 3 = 54 + 3 = 57 \]
- For D (4th position):
\[ D = 57 \times 4 + 4 = 228 + 4 = 232 \]
- For E (5th position):
\[ E = 232 \times 5 + 5 = 1160 + 5 = 1165 \]

3. **Conclusion:**
The value that will come in place of E is **1165**.