What will come in place of question mark(?) in the given number series?
309 309 302 276 213 ?

Options

A. 115
B. 184
C. 132
D. 89

Answer

To solve the problem of finding the missing number in the series: 309, 309, 302, 276, 213, ?, we will analyze the differences between consecutive numbers.

### Step-by-Step Solution:

1. **Identify the Series**:
The series given is: 309, 309, 302, 276, 213, ?

2. **Calculate the Differences**:
- First difference: 309 - 309 = 0
- Second difference: 309 - 302 = 7
- Third difference: 302 - 276 = 26
- Fourth difference: 276 - 213 = 63

So, the differences are: 0, 7, 26, 63.

3. **Examine the Pattern in Differences**:
Let's look at the differences more closely:
- The first difference is 0.
- The second difference is 7.
- The third difference is 26.
- The fourth difference is 63.

4. **Find the Relationship**:
We can see that these differences can be related to cubes:
- 0 = 1³ - 1
- 7 = 2³ - 1
- 26 = 3³ - 1
- 63 = 4³ - 1

Following this pattern, the next difference should be:
- 5³ - 1 = 125 - 1 = 124.

5. **Calculate the Missing Number**:
Now, we need to find the missing number by subtracting this difference from the last known number in the series:
- 213 - 124 = 89.

6. **Conclusion**:
Therefore, the missing number in the series is 89.

### Final Answer:
The number that will come in place of the question mark (?) is **89**.

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