Theory of Automata MCQs with Answers
Practice important Theory of Automata MCQs with answers and explanations.
Chapter: 29
Q361:
What is a decision procedure?
A. A solution with multiple steps
B. An undecidable problem
C. A yes/no solution to a problem
D. A non-decidable process
Correct Answer:
C
Chapter: 29
Q362:
Which method is used to determine if two FAs accept equivalent languages?
A. Theorem of Automata
B. Method 1
C. Regular Expression Equivalence
D. Boolean Algebra Method
Correct Answer:
B
Chapter: 29
Q363:
If L1 and L2 are regular languages, what can be said about L1 ∩ L2?
A. It's not regular
B. It's always regular
C. It depends on the alphabet
D. It's undecidable
Correct Answer:
B
Chapter: 29
Q364:
How can you determine if a regular expression defines any word using Method 1?
A. Remove the '+' symbol
B. Separate the left side of the '+'
C. Remove all '*' from the expression
D. Find the minimal FA
Correct Answer:
C
Chapter: 29
Q365:
What regular expression is used in Method 1 to check language non-emptiness?
A. (a+b)*
B. (a+∧)(ab+ba)(a+∧)
C. ab*(ba)*
D. ∧(a+b)*
Correct Answer:
B
Chapter: 29
Q366:
In the proof of Pref(Q in R), what is required to be marked in the finite automaton (FA)?
A. All initial states
B. All final states
C. At least one state
D. All accepting states
Correct Answer:
C
Chapter: 29
Q367:
What happens if no state in the FA is marked according to Method 2?
A. The FA accepts some words
B. The FA is regular
C. The FA accepts no words
D. The FA accepts all possible words
Correct Answer:
C
Chapter: 29
Q368:
What is the problem in determining whether a state of FA should be marked when Q is infinite?
A. It's impossible to mark any state
B. The process is non-constructive
C. FA becomes non-deterministic
D. FA becomes undecidable
Correct Answer:
B
Chapter: 29
Q369:
Which method involves marking states and tracing paths from initial to final states?
A. Method 1
B. Regularization process
C. Method 2
D. FA construction
Correct Answer:
C
Chapter: 29
Q370:
What does it mean when an FA accepts no string after applying Method 2?
A. The FA is deterministic
B. The FA is empty
C. The FA is ambiguous
D. The FA is infinite
Correct Answer:
B
Chapter: 29
Q371:
A problem that has a decision procedure is called ______.
A. Regular
B. Decidable
C. Solvable
D. Non-solvable
Correct Answer:
B
Chapter: 29
Q372:
The regular expression (L1 ∩ L2c) ∪ (L1c ∩ L2) accepts which kind of words?
A. Words in both L1 and L2
B. Words in either L1 or L2, but not both
C. Words in neither L1 nor L2
D. Words in L1 only
Correct Answer:
B
Chapter: 29
Q373:
The finite automaton (FA) can be used to determine if ______.
A. Two languages are regular
B. A language is infinite
C. A language is empty
D. Two languages are context-free
Correct Answer:
C
Chapter: 29
Q374:
Pref(Q in R) is regular if which condition is met?
A. R is regular, regardless of Q
B. Q is regular, regardless of R
C. Both R and Q are regular
D. Neither R nor Q is regular
Correct Answer:
A
Chapter: 30
Q375:
What does FA stand for in automata theory?
A. Finite Acceptance
B. Finite Automaton
C. Full Automaton
D. Final Acceptance
Correct Answer:
B
Chapter: 30
Q376:
If a Finite Automaton (FA) has no final state, it ______.
A. accepts nothing
B. accepts all strings
C. accepts some strings
D. accepts one string
Correct Answer:
A
Chapter: 30
Q377:
In the intersection of two languages L1 and L2, when is it determined that they are not equivalent?
A. If the FA accepts any word
B. If the FA rejects all words
C. If the FA is deterministic
D. If the FA has an odd number of states
Correct Answer:
A
Chapter: 30
Q378:
What happens when an FA accepts a word with a length greater than or equal to N and less than 2N?
A. The language is finite
B. The FA stops functioning
C. The FA accepts an infinite language
D. The FA is in an invalid state
Correct Answer:
C
Chapter: 30
Q379:
How many strings need to be tested for an FA with 3 states and an alphabet of 2 letters to check if it accepts an infinite language?
A. 56
B. 12
C. 24
D. 36
Correct Answer:
A
Chapter: 30
Q380:
Which method involves testing words of length less than the number of states in an FA?
A. Method 1
B. Method 2
C. Method 3
D. Method 4
Correct Answer:
C