Correct Answer: LNQW

Solution : Let's check each option –

First option: EGKQ; G – E = 2; K – G = 4; Q – K = 6; The difference between the letters follows the increasing order of the even numbers.
Second option: CEIO; E – C = 2; I – E = 4; O – I = 6; The difference between the letters follows the increasing order of the even numbers.
Third option: LNQW; N – L = 2; Q – N = 3; W – Q = 6; The difference between the letters does not follow the increasing order of the even numbers.
Fourth option: PRVB; R – P = 2; V – R = 4; B – V = 6; The difference between the letters follows the increasing order of the even numbers.

So, LNQW is different from the other three. Hence, the third option is correct.