The following number series only one number is wrong . Find out the wrong number
`13" "25" "40" "57" "79" "103" "130`

Options

A. 25
B. 40
C. 57
D. 79

Answer

To find the wrong number in the series `13, 25, 40, 57, 79, 103, 130`, we will analyze the differences between consecutive numbers. Here’s a step-by-step solution:

### Step 1: Write down the series
The series is:
- 13, 25, 40, 57, 79, 103, 130

### Step 2: Calculate the differences between consecutive numbers
Now, we will calculate the differences between each pair of consecutive numbers:
- 25 - 13 = 12
- 40 - 25 = 15
- 57 - 40 = 17
- 79 - 57 = 22
- 103 - 79 = 24
- 130 - 103 = 27

So, the differences are:
- 12, 15, 17, 22, 24, 27

### Step 3: Analyze the differences
Next, we will analyze the differences we calculated:
- The differences are: 12, 15, 17, 22, 24, 27

### Step 4: Calculate the second differences
Now, we will calculate the differences of the differences (second differences):
- 15 - 12 = 3
- 17 - 15 = 2
- 22 - 17 = 5
- 24 - 22 = 2
- 27 - 24 = 3

So, the second differences are:
- 3, 2, 5, 2, 3

### Step 5: Identify the pattern
The second differences do not show a consistent pattern. However, we can see that there is a discrepancy in the first differences.

### Step 6: Identify the wrong number
The difference of 22 (from 57 to 79) seems unusually high compared to the previous differences. If we assume that the difference should be consistent with the previous pattern, we can adjust the number 57.

If we assume that the difference before 79 should be 18 instead of 22, then:
- 40 + 18 = 58 (instead of 57)

### Conclusion
Thus, the wrong number in the series is **57**.