What will come in place of question mark (?) in the given number series?
125 121 130 114 139 ?

Options

A. 103
B. 105
C. 108
D. 101

Answer

To solve the number series problem and find the missing number represented by the question mark (?), we will analyze the pattern in the series step by step.

The given number series is:
125, 121, 130, 114, 139, ?

### Step 1: Identify the differences between consecutive numbers
- From 125 to 121:
\( 125 - 121 = 4 \) (decrease)

- From 121 to 130:
\( 130 - 121 = 9 \) (increase)

- From 130 to 114:
\( 130 - 114 = 16 \) (decrease)

- From 114 to 139:
\( 139 - 114 = 25 \) (increase)

### Step 2: List the differences
Now we have the differences:
- Decrease of 4
- Increase of 9
- Decrease of 16
- Increase of 25

### Step 3: Analyze the pattern in the differences
The differences can be summarized as:
- Decrease: 4, 16 (which is \(2^2\), \(4^2\))
- Increase: 9, 25 (which is \(3^2\), \(5^2\))

### Step 4: Determine the next difference
Following the pattern, the next difference should be a decrease, and it should be \(6^2\) which is 36.

### Step 5: Calculate the next number
Now, we will subtract 36 from the last number in the series:
- From 139, we subtract 36:
\( 139 - 36 = 103 \)

### Conclusion
Thus, the number that will come in place of the question mark (?) is **103**.