What should come in place of question mark (?) in the following number series.
8 4 4 6 12 ?

Options

A. 32
B. 30
C. 48
D. 36

Answer

To solve the number series: 8, 4, 4, 6, 12, ?, we need to identify the pattern in the series.

### Step-by-Step Solution:

1. **Identify the first number and its operation**:
- Start with the first number: **8**.
- The next number is **4**.
- To get from 8 to 4, we can see that **8 is multiplied by 0.5** (8 * 0.5 = 4).

2. **Identify the second operation**:
- The next number is again **4**.
- Here, we can see that **4 is multiplied by 1** (4 * 1 = 4).

3. **Identify the third operation**:
- The next number is **6**.
- To get from 4 to 6, we can see that **4 is multiplied by 1.5** (4 * 1.5 = 6).

4. **Identify the fourth operation**:
- The next number is **12**.
- To get from 6 to 12, we can see that **6 is multiplied by 2** (6 * 2 = 12).

5. **Identify the pattern**:
- The multipliers we have used so far are: 0.5, 1, 1.5, and 2.
- We can observe that the multipliers are increasing by 0.5 each time.

6. **Determine the next multiplier**:
- Following the pattern, the next multiplier should be **2.5** (since the last multiplier was 2).

7. **Calculate the next number**:
- Now, we will multiply the last number (12) by the next multiplier (2.5):
- 12 * 2.5 = 30.

8. **Conclusion**:
- Therefore, the number that should come in place of the question mark (?) is **30**.

### Final Answer:
The value that should come in place of the question mark (?) is **30**.