GATE CSE 2022 | Finite Automata and Regular Language Question 11 | Theory of Computation

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GATE CSE 2022

MCQ (Single Correct Answer)

-0.33

Which one of the following regular expressions correctly represents the language of the finite automation given below?

GATE CSE 2022 Theory of Computation - Finite Automata and Regular Language Question 11 English

ab*bab* + ba*aba*

(ab*b)* ab* + (ba*a)*ba*

(ab*b + ba*a)* (a* + b*)

(ba*a + ab*b)* (ab* + ba*)

GATE CSE 2020

MCQ (Single Correct Answer)

-0.33

Consider the following statements.

I. If L₁ $$ \cup $$ 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?

I only

II only

Both I and II

Neither I nor II

GATE CSE 2020

MCQ (Single Correct Answer)

-0.33

Which one of the following regular expressions represents the set of all binary strings with an odd number of 1’s?

10*(0*10*10*)*

((0 + 1)*1(0 + 1)*1)*10*

(0*10*10*)*10*

(0*10*10*)*0*1

GATE CSE 2019

MCQ (Single Correct Answer)

-0.33

If L is a regular language over Σ = {a,b}, which one of the following languages is NOT regular?

Suffix (L) = {y ∈ Σ* such that xy ∈ L}

{ww^R │w ∈ L}

Prefix (L) = {x ∈ Σ*│∃y ∈ Σ* such that xy ∈ L}

L ∙ L^R = {xy │ x ∈ L, y^R ∈ L}

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GATE CSE Subjects

Theory of Computation

Finite Automata and Regular Language Push Down Automata and Context Free Language Recursively Enumerable Language and Turing Machine Undecidability

Operating Systems

Process Concepts and Cpu Scheduling Synchronization and Concurrency File System IO and Protection Deadlocks Memory Management

Algorithms

Complexity Analysis and Asymptotic Notations Searching and Sorting Divide and Conquer Method Greedy Method P and NP Concepts Dynamic Programming

Digital Logic

Number Systems Boolean Algebra K Maps Combinational Circuits Sequential Circuits

Database Management System

Er Diagrams Functional Dependencies and Normalization Structured Query Language Relational Algebra Transactions and Concurrency File Structures and Indexing

Data Structures

Arrays Stacks and Queues Linked List Trees Graphs Hashing

Computer Networks

Concepts of Layering Lan Technologies and Wi-Fi Data Link Layer and Switching Network Layer Routing Algorithm TCP UDP Sockets and Congestion Control Application Layer Protocol Network Security

Software Engineering

Compiler Design

Lexical Analysis Parsing Syntax Directed Translation Code Generation and Optimization

Web Technologies

General Aptitude

Numerical Ability Logical Reasoning Verbal Ability

Discrete Mathematics

Mathematical Logic Probability Set Theory & Algebra Combinatorics Linear Algebra Graph Theory Calculus

Programming Languages

Basic of Programming Language Function and Recursion Pointer and Structure in C

Computer Organization

Computer Arithmetic Memory Interfacing Machine Instructions and Addressing Modes IO Interface Pipelining Alu Data Path and Control Unit Secondary Memory