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GATE | GATE IT 2006 | Question 10

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A problem in NP is NP-complete if  


It can be reduced to the 3-SAT problem in polynomial time


The 3-SAT problem can be reduced to it in polynomial time


It can be reduced to any other problem in NP in polynomial time


Some problem in NP can be reduced to it in polynomial time

Answer: (B)


A problem in NP becomes NPC if all NP problems can be reduced to it in polynomial time. This is the same as reducing any of the NPC problems to it. 3-SAT being an NPC problem, reducing it to an NP problem would mean that NP problem is NPC.

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Last Updated : 28 Jun, 2021
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