Question Discussion & Solution

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            
            
        

        
            
                1.
                If L1 and L2 are regular languages is/are also regular language(s).
            

            
                                                            
                            
                            A
                            
                                L1 + L2                            
                        
                                            
                            
                            B
                            
                                L1L2                            
                        
                                            
                            
                            C
                            
                                L1                            
                        
                                            
                            
                            D
                            
                                All of the mentioned                            
                        
                                                

            
                Correct Answer: D
                
            
        

        
            
            
                            
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                MCQ            
            
        

        
            
                2.
                The language defined by regular grammar is known as?
            

            
                                                            
                            
                            A
                            
                                regular language                            
                        
                                            
                            
                            B
                            
                                regular grammar                            
                        
                                            
                            
                            C
                            
                                regular notations                            
                        
                                            
                            
                            D
                            
                                regular operation                            
                        
                                                

            
                Correct Answer: A
                The language defined by regular grammar is known as regular language.
            
        

        
            
            
                            
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                MCQ            
            
        

        
            
                3.
                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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                MCQ            
            
        

        
            
                4.
                Which of them are not left associative ?
            

            
                                                            
                            
                            A
                            
                                *                            
                        
                                            
                            
                            B
                            
                                |                            
                        
                                            
                            
                            C
                            
                                plus(+)                            
                        
                                            
                            
                            D
                            
                                .                            
                        
                                                

            
                Correct Answer: C
                *, concatenation (.), and | (pipe sign) are left associative
            
        

        
            
            
                            
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                MCQ            
            
        

        
            
                5.
                Which of the following identity is true?
            

            
                                                            
                            
                            A
                            
                                ? + RR* = R* = ? + R*R                            
                        
                                            
                            
                            B
                            
                                (R1R2)*R1 = R1 (R2R1)*                            
                        
                                            
                            
                            C
                            
                                R*R* = R*                            
                        
                                            
                            
                            D
                            
                                All of the mentioned                            
                        
                                                

            
                Correct Answer: D
                
            
        

        
            
            
                            
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