What will come in place of question mark (?) in the given question
15 15 22 48 111 ?

Options

A. 225
B. 230
C. 240
D. 235

Answer

To solve the problem step by step, we need to analyze the given number series: 15, 15, 22, 48, 111, ?.

### Step 1: Identify the differences between consecutive terms
- The first term is 15.
- The second term is also 15.
- The difference between the first and second term: 15 - 15 = 0.
- The difference between the second and third term: 22 - 15 = 7.
- The difference between the third and fourth term: 48 - 22 = 26.
- The difference between the fourth and fifth term: 111 - 48 = 63.

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

### Step 2: Analyze the differences
Now, let's look at the differences: 0, 7, 26, 63.

### Step 3: Find the pattern in the differences
We can see that:
- 7 = 2^3 - 1 (8 - 1)
- 26 = 3^3 - 1 (27 - 1)
- 63 = 4^3 - 1 (64 - 1)

This suggests that the differences can be described by the formula: n^3 - 1, where n is the position of the difference in the sequence starting from 2.

### Step 4: Calculate the next difference
The next difference would be for n = 5:
- 5^3 - 1 = 125 - 1 = 124.

### Step 5: Add the next difference to the last term
Now, we add this difference to the last term in the series:
- 111 + 124 = 235.

### Conclusion
Thus, the number that will come in place of the question mark (?) is **235**.