What will come in place of question mark(?) in the given number series.
10 12 17 28 57 ?

Options

A. 142
B. 140
C. 130
D. 158

Answer

To solve the number series: 10, 12, 17, 28, 57, ?, we need to identify the pattern in the differences between the numbers.

### Step-by-Step Solution:

1. **Identify the Series**: The series given is 10, 12, 17, 28, 57, ?.

2. **Calculate the Differences**:
- 12 - 10 = 2
- 17 - 12 = 5
- 28 - 17 = 11
- 57 - 28 = 29

So, the differences are: 2, 5, 11, 29.

3. **Calculate the Differences of the Differences**:
- 5 - 2 = 3
- 11 - 5 = 6
- 29 - 11 = 18

So, the second level of differences is: 3, 6, 18.

4. **Calculate the Differences of the Second Level**:
- 6 - 3 = 3
- 18 - 6 = 12

So, the third level of differences is: 3, 12.

5. **Identify the Pattern**:
- The second level differences seem to be multiplied by increasing integers:
- 3 (multiplied by 1) gives 3,
- 3 (multiplied by 2) gives 6,
- 6 (multiplied by 3) gives 18.
- Following this pattern, the next difference would be 18 (multiplied by 4) = 72.

6. **Add the Next Difference to the Last Number**:
- The next difference (72) will be added to the last number in the original series (57):
- 57 + 72 = 129.

7. **Add the Last Difference to Find the Next Number**:
- The next number in the series is 129.

### Conclusion:
The number that comes in place of the question mark (?) is **129**.