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.
`{:("848","420","206","99","45.5",),("664","A","B","C","D","E"):}`
What will come in place of B?

Options

A. 34
B. 328
C. 160
D. 76

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 B.

### Step-by-Step Solution:

1. **Identify the first series**: The first series is given as:
- 848, 420, 206, 99, 45.5

2. **Determine the pattern**:
- Let's analyze the series:
- From 848 to 420:
- Half of 848 is 424.
- 424 - 4 = 420.
- From 420 to 206:
- Half of 420 is 210.
- 210 - 4 = 206.
- From 206 to 99:
- Half of 206 is 103.
- 103 - 4 = 99.
- From 99 to 45.5:
- Half of 99 is 49.5.
- 49.5 - 4 = 45.5.

- The pattern is: Take half of the number and then subtract 4.

3. **Apply the pattern to the second series**:
- The second series starts with 664 and has the first element as A, followed by B, C, D, and E.
- We need to find A first:
- A = (664 / 2) - 4
- A = 332 - 4 = 328.

4. **Find B**:
- Now, we find B using A:
- B = (328 / 2) - 4
- B = 164 - 4 = 160.

5. **Conclusion**:
- The value that comes in place of B is **160**.