In the following series, one of the numbers does NOT fit. Find the INCORRECT number.
0, 3, 8, 15, 24, 35, 48, 62, 80, 99

Options

A. 62
B. 35
C. 48
D. 99

Answer

To find the incorrect number in the series 0, 3, 8, 15, 24, 35, 48, 62, 80, 99, we will analyze the pattern of differences between consecutive numbers.

### Step 1: Write down the series
The series is:
0, 3, 8, 15, 24, 35, 48, 62, 80, 99

### Step 2: Calculate the differences between consecutive numbers
- 3 - 0 = 3
- 8 - 3 = 5
- 15 - 8 = 7
- 24 - 15 = 9
- 35 - 24 = 11
- 48 - 35 = 13
- 62 - 48 = 14
- 80 - 62 = 18
- 99 - 80 = 19

So, the differences are:
3, 5, 7, 9, 11, 13, 14, 18, 19

### Step 3: Analyze the differences
The differences seem to follow a pattern of increasing odd numbers, but there is an inconsistency:
- The first five differences (3, 5, 7, 9, 11) are consecutive odd numbers.
- The sixth difference (13) continues the pattern.
- However, the seventh difference (14) breaks the pattern of odd numbers.
- The eighth difference (18) and ninth difference (19) also do not fit the expected pattern.

### Step 4: Identify the incorrect number
Since the difference between 48 and 62 is 14, which does not fit the expected pattern of increasing odd numbers, we can conclude that 62 is the incorrect number in the series.

### Conclusion
The incorrect number in the series is **62**.

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