Explanation:

- To find the next number in the series, let's examine the differences between the numbers.

- The difference between 75 and 55 is 20.

- The difference between 100 and 75 is 25.

- The difference between 135 and 100 is 35.

- The difference between 190 and 135 is 55.

- We observe that differences are increasing: 20, 25, 35, 55.

- It seems like the next difference might be the sum of the last two differences: 55 + 55 = 65.

- Adding 65 to 190 gives us 255.

- However, let's correct our approach:

- The correct pattern appears to be adding an increasing sequence: 20, 25, 35, 55 (20 + 5, 30 + 5 + 5, ...).

- Adding 30 (the next difference) + 10 gives 60 to 135 gives 190, then add 95 to get 285 as the correct number.

- Option:1 - 280

- Option:2 - 285

- Option:3 - 295

- Option:4 - 290

Thus, the correct option is Option:2 - 285.

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