Which of the following is an NP-complete problem?

2017

Which of the following is an NP-complete problem?

Answer: B. CNF-Satisfiability problemThe correct option is B (CNF-Satisfiability problem). By Cook's Theorem, the Boolean satisfiability problem (SAT), specifically in CNF form, is the…

  1. A.

    Turing’s Halting problem

  2. B.

    CNF-Satisfiability problem

  3. C.

    Presburger Arithmetic problem

  4. D.

    Number of Hamiltonian circuits in a complete graph of ‘n’ vertices with n > 2

Attempted by 37 students.

Show answer & explanation

Correct answer: B

The correct option is B (CNF-Satisfiability problem). By Cook's Theorem, the Boolean satisfiability problem (SAT), specifically in CNF form, is the foundational NP-complete problem. It belongs to the class NP and every other problem in NP can be reduced to it in polynomial time.

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