A. If some NP-complete problem P is in P then P = NP B. TSP is in NP C. SAT is…

2023

A. If some NP-complete problem P is in P then P = NP
B. TSP is in NP
C. SAT is in NP
D. Hamilton circuit problem is not NP-complete

Choose the correct answer from the options given below:

  1. A.

    A, B and C only

  2. B.

    B, C and D only

  3. C.

    C, D and A only

  4. D.

    D, A and B only

Attempted by 8 students.

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Correct answer: A

A. If some NP-complete problem P is in P then P = NP
✔ True — this is a fundamental result in complexity theory.

B. TSP is in NP
✔ True — a given tour can be verified in polynomial time.

C. SAT is in NP
✔ True — a truth assignment can be checked in polynomial time.

D. Hamilton circuit problem is not NP-complete
✖ False — Hamiltonian Cycle is NP-complete.

Correct Answer: Option A — A, B and C only

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