What should come in place of the question mark (?) in the following number series?
`16" "8 " "12" "30" "?`

Options

A. 75
B. 105
C. 95
D. 115

Answer

To solve the number series: `16, 8, 12, 30, ?`, we need to identify the pattern in the series.

### Step-by-Step Solution:

1. **Identify the first term and the operation to the second term:**
- The first term is 16.
- The second term is 8.
- To go from 16 to 8, we can divide 16 by 2:
\[ 16 \div 2 = 8 \]

2. **Identify the operation from the second term to the third term:**
- The second term is 8 and the third term is 12.
- To go from 8 to 12, we can add 4:
\[ 8 + 4 = 12 \]

3. **Identify the operation from the third term to the fourth term:**
- The third term is 12 and the fourth term is 30.
- To go from 12 to 30, we can multiply 12 by 2.5:
\[ 12 \times 2.5 = 30 \]

4. **Determine the pattern of operations:**
- The operations we have used are:
- Divide by 2 (from 16 to 8)
- Add 4 (from 8 to 12)
- Multiply by 2.5 (from 12 to 30)
- The operations seem to alternate between division, addition, and multiplication.

5. **Predict the next operation:**
- Following the pattern, the next operation after multiplication should be addition.
- The last addition was 4 (from 8 to 12). We can increase this by 1, making it 5 (from 12 to the next term).

6. **Calculate the next term:**
- To find the next term after 30, we will add 5:
\[ 30 + 5 = 35 \]

### Conclusion:
The number that should come in place of the question mark (?) is **35**.