1

GATE CSE 2021 Set 1

MCQ (Single Correct Answer)

+2

-0.67

Consider the following language.

L = { w ∈ {0, 1}* | w ends with the substring 011}

Which one of the following deterministic finite automata accepts L?

2

GATE CSE 2020

Numerical

+2

-0.67

Consider the following language.

L = {x $$ \in $$ {a, b}* | number of a’s in x is divisible by 2 but not divisible by 3}

The minimum number of states in a DFA that accepts L is ______.

L = {x $$ \in $$ {a, b}* | number of a’s in x is divisible by 2 but not divisible by 3}

The minimum number of states in a DFA that accepts L is ______.

Your input ____

3

GATE CSE 2018

MCQ (Single Correct Answer)

+2

-0.6

Let $$N$$ be an $$NFA$$ with $$n$$ states. Let $$k$$ be the number of states of a minimal $$DFA$$ which is equivalent to $$N.$$ Which one of the following is necessarily true?

4

GATE CSE 2018

Numerical

+2

-0

Given a language $$𝐿,$$ define $${L^i}$$ as follows: $${L^0} = \left\{ \varepsilon \right\}$$

$${L^i} = {L^{i - 1}}.\,\,L$$ for all $$i > 0$$

$${L^i} = {L^{i - 1}}.\,\,L$$ for all $$i > 0$$

The order of a language $$L$$ is defined as the smallest k such that $${L^k} = {L^{k + 1}}.$$ Consider the language $${L_1}$$ (over alphabet $$0$$) accepted by the following automaton.

The order of $${L_1}$$ is _____.

Your input ____

Questions Asked from Finite Automata and Regular Language (Marks 2)

Number in Brackets after Paper Indicates No. of Questions

GATE CSE 2023 (1)
GATE CSE 2021 Set 1 (1)
GATE CSE 2020 (1)
GATE CSE 2018 (2)
GATE CSE 2016 Set 2 (2)
GATE CSE 2016 Set 1 (1)
GATE CSE 2015 Set 1 (2)
GATE CSE 2015 Set 2 (3)
GATE CSE 2014 Set 1 (1)
GATE CSE 2014 Set 2 (2)
GATE CSE 2013 (1)
GATE CSE 2012 (1)
GATE CSE 2011 (1)
GATE CSE 2010 (2)
GATE CSE 2009 (2)
GATE CSE 2008 (3)
GATE CSE 2007 (4)
GATE CSE 2006 (2)
GATE CSE 2005 (1)
GATE CSE 2004 (1)
GATE CSE 2003 (2)
GATE CSE 2002 (2)
GATE CSE 2001 (2)
GATE CSE 2000 (1)
GATE CSE 1998 (1)
GATE CSE 1997 (1)
GATE CSE 1995 (2)
GATE CSE 1994 (2)
GATE CSE 1992 (2)
GATE CSE 1991 (1)
GATE CSE 1990 (1)
GATE CSE 1989 (1)

GATE CSE Subjects

Discrete Mathematics

Programming Languages

Theory of Computation

Operating Systems

Computer Organization

Database Management System

Data Structures

Computer Networks

Algorithms

Compiler Design

Software Engineering

Web Technologies

General Aptitude