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Theory of Automata MCQs with Answers

Practice important Theory of Automata MCQs with answers and explanations.

Multiple Choice Questions

Q351: In the example provided, what is the result of the quotient of two regular languages according to the theorem?
  • A: The quotient is always regular
  • B: The quotient is not regular
  • C: The theorem is not applicable
  • D: The result is indeterminate
View Answer
B

Q352: According to the pseudo theorem, what is required for a language Q to be regular if PQ=R and P and R are regular?
  • A: Q must be regular
  • B: P must be regular
  • C: R must be regular
  • D: P and R must be regular
View Answer
C

Q353: What is the main point of disproof for the pseudo theorem?
  • A: Q is regular but not accepted by any FA
  • B: Q is not regular and thus disproves the theorem
  • C: Q is regular but does not satisfy PQ=R
  • D: Q is regular and hence the theorem is proved
View Answer
B

Q354: If two languages R and Q are given, what does the language Pref(Q in R) represent?
  • A: The set of strings that, when concatenated to the front of some word in Q, produce a word in R
  • B: The set of all words in R
  • C: The set of all words in Q
  • D: The set of prefixes of words in R
View Answer
D

Q355: In the language L = EVENEVEN, what is the class containing all strings with even number of a’s and even number of b’s?
  • A: C1
  • B: C2
  • C: C3
  • D: C4
View Answer
D

Q356: Which language’s prefixes are defined by the example Q = {aa, abaaabb, bbaaaaa, bbbbbbbbbb} and R = {b, bbbb, bbbaaa, bbbaaaaa}?
  • A: Pref(Q in R)
  • B: Pref(R in Q)
  • C: Q in R
  • D: R in Q
View Answer
A

Q357: What is the result of taking the quotient of the language a* with a language that includes {anbn: n=0,1,2,…} and b*?
  • A: a*b*
  • B: b*
  • C: a* {anbn}
  • D: a* {anbn} b*
View Answer
A

Q358: What does the language Pref(Q in R) represent?
  • A: A regular language
  • B: A non-regular language
  • C: A context-free language
  • D: A Turing machine language
View Answer
A

Q359: If R is regular and Q is any language, what can be said about Pref(Q in R)?
  • A: Always non-regular
  • B: Always regular
  • C: Regular if R is regular
  • D: Non-regular if Q is infinite
View Answer
B

Q360: What type of problem is one that can be solved in a finite number of steps?
  • A: Undecidable
  • B: Decidable
  • C: Effectively solvable
  • D: Non-effectively solvable
View Answer
C

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