Theoretical Computer Science MCQ : Regular Language - Pumping lemma, Closure properties of regular Languages : Link2

Theoretical Computer Science MCQ : Regular Language - Pumping lemma, Closure properties of regular Languages : Link2

Theoretical Computer Science MCQ & Answers

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Q.1. The following statement is related to which theorem? "All sufficiently long words in a regular language can have a middle section of words repeated a number of times to produce a new word which also lies within the same language."

A. Turing Machine
B. Arden’s theorem
C. Pumping Lemma
D. None of the above

Q.2. If we select a string w such that w∈L, and w=uvw Which of the following portions cannot be an empty string?

A. u                                                      B. v
C. w                                                      D. all of the above

Q.3. There exists a language L. We define a string w such that w∈L and w=xyz and |w| >=n for some constant integer n.What can be the maximum length of the substring xy i.e. |xy|≤?

A. n                                                              B. |y|
C. |x|                                                             D. none of the above

Q.4. Fill in the blank in terms of k, where k is the maximum string length in L.
Statement: Finite languages trivially satisfy the pumping lemma by having n = ______

A. k*1
B. k+1
C. k-1
D. none of the above.

Q.5. Which of the following operation can be applied on regular expressions?

A. Union                                                          B. Concatenation
C. Closure                                                              D. All of the above

Q.6. Regular expressions are used to represent which language?

A. Recursive language                                                    B. Regular language
C. Context free language                                                        D. All of the above.

Q.7. The set of all strings over ∑ = {0,1} in which all strings that beings and ends with 0 is--------

A. 0(0+1)0                                                          B. 00
C. 00(0+1)0                                          D. 00(0+1)11

Q.8. The set of all strings over ∑ = {a,b} in which all strings that starts with and ends with same letter is--------

A.[a(a+b)*b + b(a+b)*a]                                                                        B. [a(a+b)*a + b(a+b)*b]
C. a(a+b)*a                                                                    D. b(a+b)*b

Q.9. Which of the following does the given Mealy machine represents?

A. 1’s Complement                                                             B. 2’s Complement
C. 10’s Complement                                                          D. 9’s Complement

Q.10. The number of elements present in the ε-closure(A) in the given diagram.

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

Q.11. Which of the following will not be accepted by the following DFA?

A. ababaabaa                                                                      B. abbbaa
C. abbbaabb                                                                       D. abbaabbaa

Q.12. Which among the following is the missing transition in the given DFA?
L= {xϵ∑= {a, b} | x starts with a and ends with b}

A. δ (q0, a) =q0                                                                   B. δ (F, a) =D
C. δ (F, a) =q1                                                                      D. δ (q1, a) =D

Q.13. Reverse of a DFA can be formed by----

A. using PDA
B. making final state as non-final
C. making final as starting state and starting state as final state
D. None of the above.

Q.14. The language accepted by this DFA is---

A. b*ab*ab*ab*                                                                 B. (a+b)*
C. b*a(a+b)*                                                                       D. b*ab*ab*

Q.15. The minimum state automaton equivalent to the below FSA has the following number of states----

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