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Find the wrong statement?

The language accepted by finite automata are the languages denoted by regular expression

Every DFA has a regular expression denoting its language

For a regular expression r, there does not exists NDFA with L

None of the mentioned

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In regular expressions, the operator

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Which of the following problems occur?

i) Does a given program ever produce an output?
ii) If L is a CFL, then is L



            
                                                            
                            
                            A
                            
                                i, ii, iii, iv                            
                        
                                            
                            
                            B
                            
                                i, ii                            
                        
                                            
                            
                            C
                            
                                ii, iii, iv                            
                        
                                            
                            
                            D
                            
                                iii, iv                            
                        
                                                

            
                Correct Answer: D
                i) Is a variation of Turing Machine Halting problem and it is undecidable.



        
            
            
                            
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                MCQ            
            
        

        
            
                3.
                Given the language L = {ab, aa, baa}, whih of the following strings are in L*?
i) abaabaaabaa
ii) aaaabaaaa
iii) baaaaabaaaab
iv) baaaaabaa
            

            
                                                            
                            
                            A
                            
                                i, ii and iii                            
                        
                                            
                            
                            B
                            
                                ii, iii and iv                            
                        
                                            
                            
                            C
                            
                                i, ii and iv                            
                        
                                            
                            
                            D
                            
                                i, iii and iv                            
                        
                                                

            
                Correct Answer: C
                Explanation: Any combination of strings in set {ab, aa, baa} will be in L*.
i) 
            
        

        
            
            
                            
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                MCQ            
            
        

        
            
                4.
                Which behaviour of a NFA can be stimulated by DFA?
            

            
                                                            
                            
                            A
                            
                                Always                            
                        
                                            
                            
                            B
                            
                                Sometimes                            
                        
                                            
                            
                            C
                            
                                Never                            
                        
                                            
                            
                            D
                            
                                Depends on NFA                            
                        
                                                

            
                Correct Answer: A
                It can be done through power set construction.
            
        

        
            
            
                            
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                5.
                Can a DFA simulate NDFA?
            

            
                                                            
                            
                            A
                            
                                No                            
                        
                                            
                            
                            B
                            
                                Yes                            
                        
                                            
                            
                            C
                            
                                Sometimes                            
                        
                                            
                            
                            D
                            
                                Depends on NDFA                            
                        
                                                

            
                Correct Answer: B
                Yes it can be done through power set construction.
            
        

        
            
            
                            
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