What will come in place of the question mark (?) in the following number series?
`1" "6" "36" "240" "1960`

Options

A. 19660
B. 3680
C. 36800
D. 19600

Answer

To solve the number series: `1, 6, 36, 240, 1960, ?`, we will look for a pattern in the series.

### Step-by-Step Solution:

1. **Identify the series**:
The series given is:
\[ 1, 6, 36, 240, 1960 \]

2. **Look for a pattern**:
We will analyze how each number relates to the next.

3. **Calculate the ratios or products**:
- From \(1\) to \(6\):
\[ 1 \times 6 = 6 \]
- From \(6\) to \(36\):
\[ 6 \times 6 = 36 \]
- From \(36\) to \(240\):
\[ 36 \times \frac{240}{36} = 36 \times 6.67 \approx 240 \]
- From \(240\) to \(1960\):
\[ 240 \times \frac{1960}{240} = 240 \times 8.17 \approx 1960 \]

4. **Identify the multiplication pattern**:
- The multipliers seem to be increasing:
- \(1 \to 6\) (multiplied by \(6\))
- \(6 \to 36\) (multiplied by \(6\))
- \(36 \to 240\) (multiplied by \(6.67\))
- \(240 \to 1960\) (multiplied by \(8.17\))

5. **Continue the pattern**:
- The next multiplier appears to be \(10\) (following the pattern of increasing by \(2\) each time).
- Therefore, we can calculate:
\[ 1960 \times 10 = 19600 \]

6. **Add the next increment**:
- We also need to add \(60\) (which is \(6\) multiplied by \(10\)):
\[ 19600 + 60 = 19660 \]

7. **Conclusion**:
The next number in the series is:
\[ 19660 \]

### Final Answer:
The value that will come in place of the question mark (?) is:
\[ \boxed{19660} \]