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1
GATE CSE 2006
MCQ (Single Correct Answer)
+2
-0.6
Consider the regular language $$L = {\left( {111 + 11111} \right)^ * }.$$ The minimum number of states in any $$DFA$$ accepting this language is
A
$$3$$
B
$$5$$
C
$$8$$
D
$$9$$
2
GATE CSE 2005
MCQ (Single Correct Answer)
+2
-0.6
Consider the machine $$M:$$ The language recognized by $$M$$ is: GATE CSE 2005 Theory of Computation - Finite Automata and Regular Language Question 35 English
A
$$\left\{ {w\,\, \in \,\left\{ {a,b} \right\}{}^ * \left| \, \right.} \right.$$ every $$a$$ in $$w$$ is followed by exactly two $$\left. {b's} \right\}$$
B
$$\left\{ {w\,\, \in \,\left\{ {a,b} \right\}{}^ * \left| \, \right.} \right.$$ every $$a$$ in $$w$$ is followed by at least two $$\left. {b's} \right\}$$
C
$$\left\{ {w\,\, \in \,\left\{ {a,b} \right\}{}^ * \left| \, \right.} \right.$$ $$w$$ contains the substring $$\,\left. {'abb'\,\,} \right\}\,$$
D
$$\left\{ {w\,\, \in \,\left\{ {a,b} \right\}{}^ * \left| \, \right.} \right.$$ $$w$$ does not contain $$'aa'$$ as a substring$$\left. \, \right\}$$
3
GATE CSE 2004
MCQ (Single Correct Answer)
+2
-0.6
The following finite state machine accepts all those binary strings in which the number of $$1's$$ and $$0's$$ are respectively GATE CSE 2004 Theory of Computation - Finite Automata and Regular Language Question 34 English
A
Divisible by $$3$$ and $$2$$
B
Odd and even
C
Even and odd
D
Divisible by $$2$$ and $$3$$
4
GATE CSE 2003
MCQ (Single Correct Answer)
+2
-0.6
Consider the $$NFA$$ $$M$$ shown below. GATE CSE 2003 Theory of Computation - Finite Automata and Regular Language Question 33 English

Let the language accepted by $$M$$ be $$L.$$ Let $${L_1}$$ be the language accepted by the $$NFA$$, $${M_1}$$ obtained by changing the accepting state of $$M$$ to a non accepting state and by changing the non accepting state of $$M$$ to accepting states. Which of the following statements is true?

A
$${L_1} = \left\{ {0,\,1} \right\}{}^ * - L$$
B
$${L_1} = \left\{ {0,\,1} \right\}{}^ * $$
C
$${L_1} \subseteq \,L$$
D
$${L_1} = \,L$$
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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 Deadlocks Memory Management File System IO and Protection
Algorithms
Complexity Analysis and Asymptotic Notations Searching and Sorting Divide and Conquer Method Greedy Method Dynamic Programming P and NP Concepts
Digital Logic
K Maps Boolean Algebra Combinational Circuits Number Systems 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
Software Engineering
Compiler Design
Lexical Analysis Parsing Syntax Directed Translation Code Generation and Optimization
Web Technologies
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
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