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Theory of Automata MCQs with Answers

Practice important Theory of Automata MCQs with answers and explanations.

Multiple Choice Questions

Q161: When eliminating intermediate states in a TG, what happens to the corresponding RE?
  • A: It remains the same
  • B: It is concatenated
  • C: It is multiplied by the number of states
  • D: It is reversed
View Answer
B

Q162: The sum, concatenation, and closure of two regular expressions result in:
  • A: A new regular expression
  • B: A new FA
  • C: A new NFA
  • D: A TG
View Answer
A

Q163: To convert a TG to an equivalent GTG, what is added to the transitions?
  • A: Alphabet symbols
  • B: Regular expressions
  • C: Final states
  • D: Loops
View Answer
B

Q164: Fill in the blank: The _________ state in a TG is used to handle multiple final states by redirecting transitions labeled Λ.
  • A: initial
  • B: intermediary
  • C: final
  • D: bypass
View Answer
C

Q165: Fill in the blank: The regular expression corresponding to a TG with a single loop at state 1 may be reduced to ________.
  • A: (aa+bb+(ab+ba)(aa+bb)(ab+ba))
  • B: (a+b)*b
  • C: (a+b)aa(a+b)
  • D: (b+aa)b*+(a+bb)a*
View Answer
A

Q166: Fill in the blank: Method 1 of Kleene’s Theorem Part III is used to construct an FA by the _______ of two FAs.
  • A: intersection
  • B: concatenation
  • C: sum
  • D: union
View Answer
D

Q167: In Kleene’s theorem, Part III (Method 2), which operation is performed on two FAs to build a new FA?
  • A: Union
  • B: Concatenation
  • C: Intersection
  • D: Complement
View Answer
B

Q168: How many possible combinations of states are there when FA1 has 2 states and FA2 has 3 states?
  • A: 5
  • B: 6
  • C: 7
  • D: 8
View Answer
B

Q169: What happens to FA3 when combining FA1 and FA2 in the concatenation method?
  • A: States remain the same
  • B: Number of states increases
  • C: Number of states decreases
  • D: FA3 becomes the same as FA1
View Answer
C

Q170: The concatenation of two regular expressions, r1 and r2, corresponds to which FA operation?
  • A: Addition
  • B: Concatenation
  • C: Closure
  • D: Union
View Answer
B

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