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MCQ

Let L1 = {w ? {0,1}? | w has at least as many occurrences
of (110)



                        
                                                                                                
                                        
                                        
                                        
                                            A                                        
                                        
                                        
                                            L1 is regular but not L2                                        
                                    
                                                                    
                                        
                                        
                                        
                                            B                                        
                                        
                                        
                                            L2 is regular                                        
                                    
                                                                    
                                        
                                        
                                        
                                            C                                        
                                        
                                        
                                            L1 and L2 are regular                                        
                                    
                                                                    
                                        
                                        
                                        
                                            D                                        
                                        
                                        
                                            Neither of them are regular                                        
                                    
                                                                                    

                        
                            Correct Answer: A
                            L1 is regular but not L2



            
                
                    
                    
                        
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                MCQ            
            
        

        
            
                1.
                Consider the production of the grammar S->AA A->aa A->bb Describe the language specified by the production grammar.
            

            
                                                            
                            
                            A
                            
                                L = {aaaa,aabb,bbaa,bbbb}                            
                        
                                            
                            
                            B
                            
                                L = {abab,abaa,aaab,baaa}                            
                        
                                            
                            
                            C
                            
                                L = {aaab,baba,bbaa,bbbb}                            
                        
                                            
                            
                            D
                            
                                L = {aaaa,abab,bbaa,aaab}                            
                        
                                                

            
                Correct Answer: A
                Explanation: S->AA (substitute A->aa)
S->aaaa
S->AA (substitute A->aa )
S->aaA (substitute A->bb)
S->aabb
S->AA (substitute A->bb the A->aa)
S->bbaa
S->AA (substitute A->bb)
S->bbbb.
            
        

        
            
            
                            
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                MCQ            
            
        

        
            
                2.
                The set of all strings over ? = {a,b} in which all strings having bbbb as substring is?
            

            
                                                            
                            
                            A
                            
                                (a+b)* bbbb (a+b)*                            
                        
                                            
                            
                            B
                            
                                (a+b)* bb (a+b)*bb                            
                        
                                            
                            
                            C
                            
                                bbb(a+b)*                            
                        
                                            
                            
                            D
                            
                                bb (a+b)*                            
                        
                                                

            
                Correct Answer: A
                
            
        

        
            
            
                            
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                MCQ            
            
        

        
            
                3.
                What is the Regular Expression Matching Zero or More Specific Characters?
            

            
                                                            
                            
                            A
                            
                                x                            
                        
                                            
                            
                            B
                            
                                #                            
                        
                                            
                            
                            C
                            
                                *                            
                        
                                            
                            
                            D
                            
                                &                            
                        
                                                

            
                Correct Answer: C
                Zero or Specific Expression matching can be done only by a single character that is*.
            
        

        
            
            
                            
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                MCQ            
            
        

        
            
                4.
                All __________ are automatically treated as regular expressions
            

            
                                                            
                            
                            A
                            
                                Programmatic description                            
                        
                                            
                            
                            B
                            
                                Window                            
                        
                                            
                            
                            C
                            
                                Win Object                            
                        
                                            
                            
                            D
                            
                                Collection
                             
                        
                                                

            
                Correct Answer: A
                
            
        

        
            
            
                            
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                MCQ            
            
        

        
            
                5.
                The classes of languages P and NP are closed under certain operations, and not closed under others. Decide whether P and NP are closed under each of the following operations.
1. Union

2. Intersection

3. Intersection with a regular language

4. Kleene closure (star)

5. Homomorphism
            

            
                                                            
                            
                            A
                            
                                Inverse homomorphisma) P is not closed under union                            
                        
                                            
                            
                            B
                            
                                NP is not closed under intersection.                            
                        
                                            
                            
                            C
                            
                                None of the mentioned                            
                        
                                            
                            
                            D
                            
                                Both of the mentioned                            
                        
                                                

            
                Correct Answer: D
                
            
        

        
            
            
                            
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