Explanation:

Let's analyze the series: 27, 30, 37, 50, ?, 98

- Look at the differences between numbers:

- 30 - 27 = 3

- 37 - 30 = 7

- 50 - 37 = 13

- Pattern in differences: 3, 7, 13.

- These increase: 4 then 6. Next difference might be +8.

- Add 8 to 13 ? 21. So, next difference: 21.

- Next number in series: 50 + 21 = 71

- See if 71 fits with last term:

- 98 - 71 = 27 (next difference is 27, which is +6 from previous step, as pattern: 3, 7 (+4), 13 (+6), 21 (+8), 27 (+6)).

Now match 71 to options:

- 1. 78

- 2. 69

- 3. 82

- 4. 62

Correct answer: None of the options directly fits, but 71 is what should logically come next.

- Among options, none match 71, but let's check what happens if we try your answer, 69:

- 69 - 50 = 19 ? continuing this pattern, so doesn't fit neatly.

- The correct number is 71, which is missing from the options.

- Therefore, none of the options are correct as per the logical progression.