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
8 4 6 15 `52 cdot 5` `36 cdot 25` 12 (a) (b) (c) (d) and (e) what will come in place of (c)?

Options

A. 18. 25
B. 19
C. 22.5
D. 20.75

Answer

To solve the given series and find the value that comes in place of (c), we need to identify the pattern in the series provided. The series is as follows:

8, 4, 6, 52.5, 36.25, 12, (a), (b), (c), (d), (e)

Let's break down the series step by step:

1. **Identify the Pattern:**
- The series starts with 8, then goes to 4, and then to 6.
- We can observe that:
- 8 divided by 2 = 4
- 4 multiplied by 1.5 = 6
- 6 multiplied by 8.75 = 52.5
- 52.5 multiplied by 0.69 = 36.25
- This indicates a pattern of alternating division and multiplication.

2. **Continuing the Pattern:**
- After 36.25, we will continue the pattern:
- The next number in the series should be calculated by multiplying 36.25 by 1.5 (as the pattern seems to be alternating between division and multiplication).
- 36.25 multiplied by 1.5 = 54.375

3. **Finding the Value for (c):**
- The next number after 54.375 should be calculated by multiplying it by 2.5:
- 54.375 multiplied by 2.5 = 135.9375
- The next number after that should be calculated by multiplying it by 3.5:
- 135.9375 multiplied by 3.5 = 475.78125

4. **Final Series:**
- The series now looks like this:
- 8, 4, 6, 52.5, 36.25, 12, 54.375, 135.9375, 475.78125
- Thus, the value that comes in place of (c) is **54.375**.

### Summary of Steps:
1. Identify the pattern in the series.
2. Continue the pattern using multiplication and division.
3. Calculate the values step by step until reaching (c).