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Consider the languages L1 = and L2 = {a}. Which one of the following represents L1 L2* U L1*

All of the mentioned

None of the mentioned

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MCQ

Which of the following are regular sets?
I. { a^n b^2m | n>=0, m>=0}

II. {a^n b^m |n=2m}

III. {a^n b^m | n!= m}

IV {xcy |x,y



            
                                                            
                            
                            A
                            
                                I and IV                            
                        
                                            
                            
                            B
                            
                                I and III                            
                        
                                            
                            
                            C
                            
                                I and only                            
                        
                                            
                            
                            D
                            
                                IV                            
                        
                                                

            
                Correct Answer: A



        
            
            
                            
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                MCQ            
            
        

        
            
                2.
                The set of all strings over ? ={a,b} in which a single a is followed by any number of b
            

            
                                                            
                            
                            A
                            
                                ab* + ba*                            
                        
                                            
                            
                            B
                            
                                ab*ba*                            
                        
                                            
                            
                            C
                            
                                a*b + b*a                            
                        
                                            
                            
                            D
                            
                                None of the mentioned                            
                        
                                                

            
                Correct Answer: A
                
            
        

        
            
            
                            
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                3.
                The grammar G: S ? SS | a | b is ambiguous. Check all and only the strings that have exactly two leftmost derivations in G
            

            
                                                            
                            
                            A
                            
                                bbb                            
                        
                                            
                            
                            B
                            
                                ab                            
                        
                                            
                            
                            C
                            
                                All of the mentioned                            
                        
                                            
                            
                            D
                            
                                None of the mentioned                            
                        
                                                

            
                Correct Answer: C
                
            
        

        
            
            
                            
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                MCQ            
            
        

        
            
                4.
                Given the language L = {ab, aa, baa}, which of the following strings are in L*?
1) abaabaaabaa

2) aaaabaaaa

3) baaaaabaaaab

4) baaaaabaa
            

            
                                                            
                            
                            A
                            
                                1, 2, 3                            
                        
                                            
                            
                            B
                            
                                2, 3, 4                            
                        
                                            
                            
                            C
                            
                                1, 2, 4                            
                        
                                            
                            
                            D
                            
                                1, 3, 4                            
                        
                                                

            
                Correct Answer: C
                
            
        

        
            
            
                            
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                5.
                The regular expression denotes a language comprising all possible strings of even length over the alphabet (0, 1).
            

            
                                                            
                            
                            A
                            
                                1 + 0(1+0)*                            
                        
                                            
                            
                            B
                            
                                (0+1) (1+0)*                            
                        
                                            
                            
                            C
                            
                                (1+0)                            
                        
                                            
                            
                            D
                            
                                (00+0111+10)*                            
                        
                                                

            
                Correct Answer: D
                Option 1 + 0(1+0)* ? It does not consider even length criteria for the question.
Option (0+1) (1+0)* ? It can so happen here that from the former bracket it takes 0 or 1 and takes null from the latter then it forms a string of odd length
Option (1+0) ? It gives either 1 or 0.
Hence Option (00+0111+10)* is the answer.
            
        

        
            
            
                            
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