Theory of Computation MCQ

The Theory of Computation is a fundamental area of computer science that explores the principles of computation, automata, languages, and algorithms. Our collection of MCQs (Multiple Choice Questions) on the Theory of Computation helps learners and professionals assess their understanding of key topics, including finite automata, regular languages, Turing machines, and complexity theory. Whether you are studying for exams or preparing for technical interviews, these MCQs provide a thorough review of theoretical computer science concepts, aiding in the development of problem-solving skills and the deepening of theoretical knowledge.

Q1. Which of the following is the main study area of Theory of Computation?

Correct Answer: C

Theory of Computation studies the fundamental capabilities and limitations of computers using formal languages and automata.

Q2. Which automaton recognizes regular languages?

Correct Answer: B

Finite Automata are used to recognize regular languages.

Q3. Which automaton recognizes context-free languages?

Correct Answer: B

Pushdown Automata (PDA) recognize context-free languages.

Q4. Which machine can solve all problems that are algorithmically solvable?

Correct Answer: C

Turing Machines can compute anything that is algorithmically solvable.

Q5. Which of the following is NOT a formal language type?

Correct Answer: C

Assembly is a programming language, not a formal language type.

Q6. Which is an example of a regular expression?

Correct Answer: C

Both a*b and a+b? are valid regular expressions.

Q7. What is the main difference between DFA and NFA?

Correct Answer: B

DFA has exactly one transition per symbol for each state, while NFA can have multiple or epsilon transitions.

Q8. Which machine has memory in the form of a stack?

Correct Answer: B

Pushdown Automata have a stack to store symbols, giving them memory.

Q9. Which problem is undecidable?

Correct Answer: B

The Halting Problem is a classic undecidable problem.

Q10. Which language type is more powerful than context-free but less than Turing-recognizable?

Correct Answer: C

Context-sensitive languages are more powerful than context-free but less than unrestricted languages.

Q11. Which diagram represents state transitions?

Correct Answer: B

State diagrams are used to show transitions in automata.

Q12. Which of the following is a property of regular languages?

Correct Answer: D

Regular languages are closed under union, concatenation, and Kleene star operations.

Q13. Which is a type of Turing Machine?

Correct Answer: C

Turing Machines can be deterministic or non-deterministic.

Q14. Which is an example of context-free language?

Correct Answer: A

Balanced parentheses can be recognized by a PDA and are context-free.

Q15. Which automaton can recognize the language {a^n b^n | n ≥ 0}?

Correct Answer: C

A Pushdown Automaton can recognize {a^n b^n | n ≥ 0} using its stack.

Q16. Which of the following is true for NFA and DFA?

Correct Answer: C

DFA and NFA recognize exactly the same set of regular languages.

Q17. Which machine uses unlimited tape as memory?

Correct Answer: C

Turing Machines have infinite tape as memory.

Q18. Which language class is also known as recursively enumerable?

Correct Answer: D

Turing-recognizable (recursively enumerable) languages can be accepted by a Turing Machine.

Q19. Which of the following represents a formal grammar?

Correct Answer: A

Formal grammar is represented as G = (N, T, P, S) with Non-terminals, Terminals, Productions, Start symbol.

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