Algorithms
Complexity Analysis and Asymptotic Notations
Marks 1Marks 2
Searching and Sorting
Marks 1Marks 2
Divide and Conquer Method
Marks 1Marks 2
Greedy Method
Marks 1Marks 2
P and NP Concepts
Marks 1Marks 2
Dynamic Programming
Marks 1Marks 2
1
GATE CSE 2009
MCQ (Single Correct Answer)
+1
-0.3
Let $${\pi _A}$$ be a problem that belongs to the class NP. Then which one of the following is TRUE?
A
There is no polynomial time algorithm for $${\pi _A}$$
B
If $${\pi _A}$$ can be solved deterministically in polynomial time, then P = NP
C
If $${\pi _A}$$ is NP-hard, then it is NP-complete.
D
$${\pi _A}$$ may be undecidable.
2
GATE CSE 2006
MCQ (Single Correct Answer)
+1
-0.3
Let S be an NP-complete problem and Q and R be two other problems not known to be in NP. Q is polynomial time reducible to S and S is polynomial-time reducible to R. Which one of the following statements is true?
A
R is NP-complete
B
R is NP-hard
C
Q is NP-complete
D
Q is NP-hard
3
GATE CSE 2004
MCQ (Single Correct Answer)
+1
-0.3
The problems 3-SAT and 2-SAT are
A
both in P
B
both NP-complete
C
NP-complete and in P respectively
D
undecidable and NP-complete respectively
4
GATE CSE 2003
MCQ (Single Correct Answer)
+1
-0.3
Ram and Shyam have been asked to show that a certain problem Π is NP-complete. Ram shows a polynomial time reduction from the 3-SAT problem to Π, and Shyam shows a polynomial time reduction from Π to 3-SAT. Which of the following can be inferred from these reductions ?
A
Π is NP-hard but not NP-complete
B
Π is in NP, but is not NP-complete
C
Π is NP-complete
D
Π is neither NP-hard, nor in NP
GATE CSE Subjects
Theory of Computation
Operating Systems
Algorithms
Digital Logic
Database Management System
Data Structures
Computer Networks
Software Engineering
Compiler Design
Web Technologies
General Aptitude
Discrete Mathematics
Programming Languages
Computer Organization