`{:(7,5,11,49,335,3005),(13,(a),(b),(c),(d),(e)):}`
What will come in the place of (b) ?

Options

A. 31
B. 27
C. 29
D. 28

Explanation

To solve the problem, we need to analyze the given series and find the missing value represented by (b). The first series is {7, 5, 11, 49, 335, 3005} and the second series is {13, (a), (b), (c), (d), (e)}.

### Step-by-Step Solution:

1. **Identify the Pattern in the First Series:**
- The first series is: 7, 5, 11, 49, 335, 3005.
- Let's analyze the differences and operations between the numbers:
- From 7 to 5: \( 7 - 2 = 5 \)
- From 5 to 11: \( 5 \times 3 - 4 = 11 \)
- From 11 to 49: \( 11 \times 5 - 6 = 49 \)
- From 49 to 335: \( 49 \times 7 - 8 = 335 \)
- From 335 to 3005: \( 335 \times 9 - 10 = 3005 \)

2. **Establish the Operations:**
- The pattern involves multiplying by odd numbers (1, 3, 5, 7, 9) and subtracting even numbers (2, 4, 6, 8, 10).
- The operations can be summarized as:
- \( n \times \text{(next odd number)} - \text{(next even number)} \)

3. **Apply the Pattern to the Second Series:**
- The second series starts with 13.
- Let's find (a), (b), (c), (d), and (e) using the same pattern:
- For (a): \( 13 \times 1 - 2 = 11 \)
- For (b): \( 11 \times 3 - 4 = 29 \)
- For (c): \( 29 \times 5 - 6 = 139 \)
- For (d): \( 139 \times 7 - 8 = 965 \)
- For (e): \( 965 \times 9 - 10 = 8665 \)

4. **Determine the Value of (b):**
- From the calculations, we find that (b) is equal to 29.

### Final Answer:
The value that will come in the place of (b) is **29**.