P versus NP Problem
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Questions and Answers

Which of the following best describes an NP-complete problem?

  • A problem that can be quickly solved in polynomial time
  • A problem that is unsolvable in NP
  • A problem that every other problem in NP can be reduced to in polynomial time (correct)
  • A problem that has a known solution in P

    • What is the significance of the P versus NP problem?

  • It proves that P equals NP
  • It demonstrates that there are no NP-complete problems
  • It remains an open question about whether problems in NP have efficient solutions (correct)
  • It shows that all problems in NP can be quickly solved

    • Why is it challenging to determine whether every problem in NP can be quickly solved?

  • Because NP problems are not relevant in computer science
  • Because NP-complete problems are easily solvable
  • Because P equals NP by definition
  • Due to the complexity of NP problems and the unknown relationship to P (correct)

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