In each of the following questions a number series is given followed by (a) (b) (c) (d) and (e). You have to complete the series starting with given number, following the sequence of original series and answer the questions that follows the series
5 12 4 10 3 8 6 (a) (b) (c) (d) (e) What will come in place of (b)?

Options

A. 3
B. 5
C. 4
D. 7

Answer

To solve the given number series and find the value that comes in place of (b), we will analyze the pattern in the series provided.

### Given Series:
5, 12, 4, 10, 3, 8, 6, (a), (b), (c), (d), (e)

### Step-by-Step Solution:

1. **Identify the Pattern:**
The series alternates between two sequences:
- The first sequence: 5, 4, 3, 6 (decreasing)
- The second sequence: 12, 10, 8 (decreasing)

2. **Continue the First Sequence:**
The first sequence is:
- Start: 5
- Next: 4 (5 - 1)
- Next: 3 (4 - 1)
- Next: 6 (3 + 3)

Following this pattern, the next number after 6 would be:
- 6 (the last number) - 1 = 5

3. **Continue the Second Sequence:**
The second sequence is:
- Start: 12
- Next: 10 (12 - 2)
- Next: 8 (10 - 2)

Following this pattern, the next number after 8 would be:
- 8 (the last number) - 2 = 6

4. **Complete the Series:**
Now we can fill in the series:
- 5, 12, 4, 10, 3, 8, 6, (5), (6), (c), (d), (e)

5. **Determine the Value of (b):**
From the pattern, we see that (b) corresponds to the second sequence after 6, which we calculated to be 6.

### Final Answer:
(b) = 6