GATE | GATE CS 2012 | Question 4
Assuming P != NP, which of the following is true ? (A) NP-complete = NP (B) NP-complete P = (C) NP-hard = NP (D) P = NP-complete
The answer is B (no NP-Complete problem can be solved in polynomial time). Because, if one NP-Complete problem can be solved in polynomial time, then all NP problems can solved in polynomial time. If that is the case, then NP and P set become same which contradicts the given condition.