0, 6, 24, 60, …., 210.

Options

A. 117
B. 119
C. 120
D. 126

Explanation

To find the missing figure in the series: 0, 6, 24, 60, ..., 210, we can analyze the pattern of the numbers given.

### Step-by-Step Solution:

1. **Identify the Pattern**:
We need to find a pattern in the series. The numbers seem to be related to cubes of integers. Let's express each number in the series in terms of cubes:
- For 0: \(1^3 - 1 = 0\)
- For 6: \(2^3 - 2 = 8 - 2 = 6\)
- For 24: \(3^3 - 3 = 27 - 3 = 24\)
- For 60: \(4^3 - 4 = 64 - 4 = 60\)
- For the missing number: \(5^3 - 5 = 125 - 5 = 120\)
- For 210: \(6^3 - 6 = 216 - 6 = 210\)

2. **Calculate the Missing Figure**:
From the pattern identified, the missing number can be calculated as follows:
\[ 5^3 - 5 = 125 - 5 = 120 \]
Therefore, the missing figure in the series is **120**.

3. **Confirm the Series**:
Now, we can write the entire series with the missing number filled in:
\[ 0, 6, 24, 60, 120, 210 \]

### Final Answer:
The missing figure in the series is **120**.