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Theory of Automata MCQs with Answers

Practice important Theory of Automata MCQs with answers and explanations.

Multiple Choice Questions

Q171: In Method 2 of Kleene’s theorem, what is the significance of the initial state of FA3?
  • A: It corresponds to FA1's initial state
  • B: It is randomly assigned
  • C: It corresponds to FA2's final state
  • D: It is derived from both FA1 and FA2
View Answer
A

Q172: If r1 = (a+b)a and r2 = (a+b)((a+b)(a+b)), what does FA1 correspond to?
  • A: r1
  • B: r2
  • C: r1+r2
  • D: FA3
View Answer
A

Q173: Fill in the blank: The process of concatenating FAs involves transitioning from the final state of the first FA to the _______ of the second FA.
  • A: middle state
  • B: first state
  • C: final state
  • D: initial state
View Answer
D

Q174: Fill in the blank: The number of transitions in FA3 after combining two FAs depends on the number of states and ________.
  • A: final states
  • B: input symbols
  • C: initial states
  • D: loops
View Answer
B

Q175: What is the required FA when r1 = (a+b)*b and r2 = (a+b)aa(a+b)?
  • A: The union of FA1 and FA2
  • B: The concatenation of FA1 and FA2
  • C: FA1 alone
  • D: FA2 alone
View Answer
B

Q176: In the transition table of FA3, the new state z1 corresponds to which of the following?
  • A: Final state of FA1
  • B: Initial state of FA2
  • C: Initial state of FA1
  • D: Both initial states of FA1 and FA2
View Answer
C

Q177: Fill in the blank: The number of transitions in FA3 is determined by combining the transitions of both FAs for each _______.
  • A: final state
  • B: initial state
  • C: input symbol
  • D: regular expression
View Answer
C

Q178: What is the result of concatenation of two FAs?
  • A: A new FA combining both FAs
  • B: The same FA
  • C: A FA with no final state
  • D: A DFA equivalent to the original FA
View Answer
A

Q179: In Kleene’s theorem part III, what does method 2 refer to?
  • A: Concatenation of FAs
  • B: Union of FAs
  • C: Intersection of FAs
  • D: Closure of FAs
View Answer
A

Q180: What is the role of the initial state in the closure of an FA?
  • A: It is a final state as well
  • B: It becomes non-final
  • C: It is ignored
  • D: It is removed
View Answer
A

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