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Theory of Computation – GATE CSE Previous Year Questions

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Solving GATE Previous Year’s Questions (PYQs) not only clears the concepts but also helps to gain flexibility, speed, accuracy, and understanding of the level of questions generally asked in the GATE exam, and that eventually helps you to gain good marks in the examination. Previous Year Questions help a candidate practice and revise for GATE, which helps crack GATE with a good score. 

Theory of Computation Previous Year GATE Questions help in analyzing the question pattern of a subject and marking scheme as well as it helps in time management which overall increases the score in the GATE exam. With regular practice of PYQs, candidates can easily crack GATE with a good GATE Score.

Before 2006, questions asked in GATE were mainly theoretical, but in recent years, the questions asked were multiple-choice questions with a single correct option or multiple correct options. We are looking to provide the multiple-choice questions that are asked in GATE.

Theory of Computation GATE Previous Year Questions

In this article, we are mainly focusing on the Theory of Computation GATE Questions that are asked in Previous Years with their solutions, and where an explanation is required, we have also provided the reason.

In the Theory of Computation, we will deal with the following concepts. We have also provided GATE Previous Year’s Questions on these topics. Here is the list of those topics along with their links.

Below mentioned are the links to the Theory of Computation PYQ’s pages. On each page, you will get the questions asked in TOC along with the years asked.

GATE TOC Previous Year Questions
Automata Theory | Set 1, 2
Automata Theory | Set 3
Automata Theory | Set 4
Automata Theory | Set 5
Automata Theory | Set 6

Also, here we are going to discuss some basic PYQs related to the Theory of Computation.

1. Consider the following statements. [GATE CSE 2020]

I. If L1 ∪ L2 is regular, then both L1 and L2 must be regular.
II. The class of regular languages is closed under infinite union.

Which of the above statements is/are TRUE?

(A) I only

(B) II only

(C) Both I and II

(D) Neither I nor II

Solution: Correct answer is (D)

For more, refer to GATE | GATE CS 2020 | Question 18.

2. Consider the language L = { an ∣ n≥0 }∪{ anbn ∣ n≥0 } and the following statements.

 I. L is deterministic and context-free.

 II. L is context-free but not deterministic context-free.

 III. L is not LL(k) for any k.

Which of the above statements is/are TRUE? [GATE CSE 2020]

(A) I only

(B) II only

(C) I and III only

(D) III only

Solution: Correct answer is (C)

For more, refer to GATE | GATE CS 2020 | Question 20.

3. Which one of the following languages over the alphabet {0,1} is described by the regular expression: (0+1)*0(0+1)*0(0+1)*? [GATE CSE 2019]

(A) The set of all strings containing the substring 00.

(B) The set of all strings containing at most two 0’s.

(C) The set of all strings containing at least two 0’s.

(D) The set of all strings that begin and end with either 0 or 1.

Solution: Correct answer is (C)

For more, refer to GATE | GATE-CS-2009 | Question 14.

4. Language L1 is defined by the grammar: S1 −> aS1b|∈
Language L2 is defined by the grammar: S2 −> abS2|∈ [GATE CSE 2016]

Consider the following statements:
P: L1 is regular
Q: L2 is regular

Which one of the following is TRUE?

(A) Both P and Q are true

(B) P is true and Q is false

(C) P is false and Q is true

(D) Both P and Q are false

Solution: Correct answer is (C)

For more, refer to GATE | GATE-CS-2016 (Set 2) | Question 27.

5. Consider the languages L1 = ∅ and L2 = {a}. Which one of the following represents L1L2* U L1*? [GATE CSE 2013]

(A) {}

(B) ∅

(C) a*

(D) {,a}

Solution: Correct answer is (A)

For more, refer to GATE | GATE CS 2013 | Question 8.

GATE CSE Previous Year Question Papers

These previous year’s questions help you in understanding the question patterns followed by GATE that directly help a candidate in scoring good marks in GATE. Below are the mentioned links of year-wise GATE Previous Question Papers.

Year Paper Keys
2023 2023 Paper 2023 Answer Keys
2022 2022 Paper 2022 Answer Keys
2021 2021 Set 1 Paper 2021 Set 1 Key
2021 Set 2 Paper 2021 Set 2 Key
2020 2020 Paper 2020 Keys
2019 2019 Paper 2019 Keys
2018 2018 Paper 2018 Keys
2017 2017 Set 1 Paper 2017 Set 1 Keys
2017 Set 2 Paper 2017 Set 2 Keys
2016 2016 Set 1 Paper 2016 Set 1 Keys
2016 Set 2 Paper 2016 Set 2 Keys
2015 2015 Set 1 Paper 2015 Set 1 Keys
2015 Set 2 Paper 2015 Set 2 Keys
2015 Set 3 Paper 2015 Set 3 Keys
2014 2014 Set 1 Paper 2014 Set 1 Keys
2014 Set 2 Paper 2014 Set 2 Keys
2014 Set 3 Paper 2014 Set 3 Keys
2013 2013 Paper 2013 Keys
2012 2012 Paper 2012 Keys
2011 2011 Paper 2011 Keys

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Last Updated : 19 May, 2023
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