The given series is: 13, 25, 40, 57, 79, 103, 130

To find the wrong number in the series, we need to identify the pattern or rule followed by the numbers.

- The difference between the consecutive terms in the series is not constant. Let's calculate the differences between the terms:

25 - 13 = 12
40 - 25 = 15
57 - 40 = 17
79 - 57 = 22
103 - 79 = 24
130 - 103 = 27

- By observing the differences, we can see that they are increasing by 3 each time. This indicates that the differences between the terms are following a linear pattern.

- Now, let's calculate the differences between the differences:

15 - 12 = 3
17 - 15 = 2
22 - 17 = 5
24 - 22 = 2
27 - 24 = 3

- By observing the differences between the differences, we can see that they are not following a specific pattern. The differences are alternating between 2 and 3.

- This indicates that the series is not following a consistent pattern and there is likely an error in one of the terms.

- Comparing the given series with the calculated differences, we can see that the difference between 40 and 25 should be 12, but it is given as 15 in the series.

- Therefore, the wrong number in the series is 40 (option b).

To summarize:

- The given series follows a pattern where the differences between the terms increase by 3 each time.
- However, the differences between the differences are alternating between 2 and 3.
- By comparing the calculated differences with the given series, we can identify that the difference between 40 and 25 is incorrect.
- Hence, the wrong number in the series is 40.