What should come in place of the question mark (?) in the given series?

77, 79, 83, 89, 97, ?

The correct answer is 107 (Option 4).

To find the number that replaces the question mark (?), let us analyze the difference between consecutive terms in the given series:

77, 79, 83, 89, 97, ?

First term: 77

Second term: 79 = 77 + 2

Third term: 83 = 79 + 4

Fourth term: 89 = 83 + 6

Fifth term: 97 = 89 + 8

The differences added to each term are consecutive even numbers: 2, 4, 6, 8.

Following this pattern, the next difference to add is 10.

Sixth term (?) = 97 + 10 = 107

Thus, the number that comes in place of the question mark is 107.