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1
GATE CSE 2020
MCQ (Single Correct Answer)
+1
-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?
A
I only
B
II only
C
Both I and II
D
Neither I nor II
2
GATE CSE 2020
MCQ (Single Correct Answer)
+1
-0.33
Which one of the following regular expressions represents the set of all binary strings with an odd number of 1’s?
A
10*(0*10*10*)*
B
((0 + 1)*1(0 + 1)*1)*10*
C
(0*10*10*)*10*
D
(0*10*10*)*0*1
3
GATE CSE 2019
MCQ (Single Correct Answer)
+1
-0.33
If L is a regular language over Σ = {a,b}, which one of the following languages is NOT regular?
A
Suffix (L) = {y ∈ Σ* such that xy ∈ L}
B
{wwR │w ∈ L}
C
Prefix (L) = {x ∈ Σ*│∃y ∈ Σ* such that xy ∈ L}
D
L ∙ LR = {xy │ x ∈ L, yR ∈ L}
4
GATE CSE 2019
MCQ (Single Correct Answer)
+1
-0.33
For Σ = {a, b}, let us consider the regular language L = {x | x = a2+3k or x = b10+12k, k ≥ 0}. Which one of the following can be a pumping length (the constant guaranteed by the pumping lemma) for L?
A
9
B
5
C
24
D
3
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GATE CSE Subjects
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
Theory of Computation
Undecidability Finite Automata and Regular Language Push Down Automata and Context Free Language Recursively Enumerable Language and Turing Machine
Operating Systems
Process Concepts and Cpu Scheduling Synchronization and Concurrency File System IO and Protection Deadlocks Memory Management
Digital Logic
Number Systems Boolean Algebra K Maps Combinational Circuits Sequential Circuits
Computer Organization
Computer Arithmetic Memory Interfacing Pipelining Machine Instructions and Addressing Modes Alu Data Path and Control Unit IO Interface Secondary Memory
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
Algorithms
Complexity Analysis and Asymptotic Notations Searching and Sorting Divide and Conquer Method Greedy Method P and NP Concepts Dynamic Programming
Compiler Design
Lexical Analysis Parsing Syntax Directed Translation Code Generation and Optimization
Software Engineering
Software Engineering
Web Technologies
Web Technologies
General Aptitude
Numerical Ability Logical Reasoning Verbal Ability
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