1

GATE CSE 2021 Set 1

MCQ (Single Correct Answer)

+2

-0.67

Let $$\left\langle M \right\rangle $$ denote an encoding of an automation M. Suppose that ∑ = {0, 1}. Which of the following languages is/are NOT recursive?

2

GATE CSE 2020

MCQ (Single Correct Answer)

+2

-0.67

Consider the following languages.

L

L

Which one of the following is TRUE?

L

_{1}= {wxyx | w, x, y ∈ (0 + 1)^{+}}L

_{2}= {xy | x, y ∈ (a + b)*, |x| = |y|, x ≠ y}Which one of the following is TRUE?

3

GATE CSE 2018

MCQ (Single Correct Answer)

+2

-0.6

Consider the following languages:

$$\,\,\,\,\,\,\,\,{\rm I}.\,\,\,\,\,\,\,$$ $$\left\{ {{a^m}{b^n}{c^p}{d^q}} \right.|m + p = n + q,$$ where $$\left. {m,n,p,q \ge 0} \right\}$$

$$\,\,\,\,\,\,{\rm II}.\,\,\,\,\,\,\,$$ $$\left\{ {{a^m}{b^n}{c^p}{d^q}} \right.|m = n$$ and $$p=q,$$ where $$\left. {m,n,p,q \ge 0} \right\}$$

$$\,\,\,\,{\rm III}.\,\,\,\,\,\,\,$$ $$\left\{ {{a^m}{b^n}{c^p}{d^q}} \right.|m = n = p$$ and $$p \ne q,$$ where $$\left. {m,n,p,q \ge 0} \right\}$$

$$\,\,\,\,{\rm IV}.\,\,\,\,\,\,\,$$ $$\left\{ {{a^m}{b^n}{c^p}{d^q}} \right.|mn = p + q,$$ where $$\left. {m,n,p,q \ge 0} \right\}$$

Which of the languages above are context-free?

4

GATE CSE 2016 Set 1

MCQ (Single Correct Answer)

+2

-0.6

Consider the following context-free grammars:

$$\eqalign{ & {G_1}:\,\,\,\,\,S \to aS|B,\,\,B \to b|bB \cr & {G_2}:\,\,\,\,\,S \to aA|bB,\,\,A \to aA|B|\varepsilon ,\,\,B \to bB|\varepsilon \cr} $$

$$\eqalign{ & {G_1}:\,\,\,\,\,S \to aS|B,\,\,B \to b|bB \cr & {G_2}:\,\,\,\,\,S \to aA|bB,\,\,A \to aA|B|\varepsilon ,\,\,B \to bB|\varepsilon \cr} $$

Which one of the following pairs of languages is generated by $${G_1}$$ and $${G_2}$$, respectively?

Questions Asked from Push Down Automata and Context Free Language (Marks 2)

Number in Brackets after Paper Indicates No. of Questions

GATE CSE 2021 Set 1 (4)
GATE CSE 2020 (1)
GATE CSE 2018 (1)
GATE CSE 2016 Set 1 (1)
GATE CSE 2015 Set 3 (1)
GATE CSE 2014 Set 3 (1)
GATE CSE 2013 (1)
GATE CSE 2011 (2)
GATE CSE 2010 (1)
GATE CSE 2008 (3)
GATE CSE 2007 (3)
GATE CSE 2006 (1)
GATE CSE 2005 (3)
GATE CSE 2004 (3)
GATE CSE 2000 (1)
GATE CSE 1999 (1)
GATE CSE 1998 (2)
GATE CSE 1997 (1)
GATE CSE 1996 (2)
GATE CSE 1994 (1)
GATE CSE 1992 (1)
GATE CSE 1989 (1)
GATE CSE 1987 (2)

GATE CSE Subjects

Theory of Computation

Operating Systems

Algorithms

Database Management System

Data Structures

Computer Networks

Software Engineering

Compiler Design

Web Technologies

General Aptitude

Discrete Mathematics

Programming Languages