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Q. 141) Which of the following statement is false for a turing machine?

(A) There exists an equivalent deterministic turing machine for every nondeterministic turing machine
(B) Turing decidable languages are closed under intersection and complementation
(C) Turing recognizable languages are closed under union and intersection
(D) Turing recognizable languages are closed under union and complementation
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Mr. Dubey • 51.17K Points
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Q. 142) Two persons X and Y have been asked to show that a certain problem p is NP-complete. X shows a polynomial time reduction from the 3-SAT problem to p and Y shows a polynomial time reduction from p to 3-SAT. From these reduction it can be inferred that

(A) P is NP-complete
(B) P is NP-hard but not NP-complete
(C) P is in NP but not NP-complete
(D) P is neither NP-hard nor in NP
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Mr. Dubey • 51.17K Points
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Q. 143) 3-SAT and 2-SAT problems are

(A) NP-complete and in P respectively
(B) Undecidable and NP-complete
(C) Both NP-complete
(D) Both in P
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Mr. Dubey • 51.17K Points
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Q. 144) Let n be the positive integer constant and L be the language with alphabet {a}. To recognize L the minimum number of states required in a DFA will be

(A) 2k + 1
(B) k + 1
(C) 2n + 1
(D) n + 1
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Mr. Dubey • 51.17K Points
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Q. 145) Consider a stack, which is limited to 10 items. The language accepted by a push- down automaton in such stack is best described as

(A) Regular
(B) Deterministic context free
(C) Context free
(D) Recursive
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Q. 146) State table of an FSM is given below. There are two states A And B, one input and one output. Let the initial state be A = 0 and B = 0. To take the machine to the state A = 0 and B = 1 with output = 1 the minimum length of input string required will be

(A) 2
(B) 7
(C) 4
(D) 3
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Q. 147) Out of the three decision problems P1, P2 and P3, P1 is decidable and P2 is undecidable. The statement that holds true is

(A) P3 is decidable if P3 is reducible to compliment of P2
(B) P3 is decidable if P1 is reducible to P3
(C) P3 is undecidable if P1 is reducible to P3
(D) P3 is undecidable if P2 is reducible to P3
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