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1
GATE CSE 2007
MCQ (Single Correct Answer)
+2
-0.6
A minimum state deterministic finite automation accepting the language $$L = \left\{ {w\left| {w \in } \right.\,\,{{\left\{ {0,1} \right\}}^ * },\,\,} \right.$$ number of $$0'$$s and $$1'$$s in $$w$$ are divisible by $$3$$ and $$5$$, respectively$$\left. \, \right\}$$ has
A
$$15$$ states
B
$$11$$ states
C
$$10$$ states
D
$$9$$ states
2
GATE CSE 2007
MCQ (Single Correct Answer)
+2
-0.6
Which of the following languages is regular?
A
$$\left\{ {w{w^R}} \right.\left| {w \in \left\{ {0,\,1} \right\}\left. {^ + } \right\}} \right.$$
B
$$\left\{ {w{w^R}} \right.x\left| {x,w \in \left\{ {0,\,1} \right\}\left. {^ + } \right\}} \right.$$
C
$$\left\{ {wx{w^R}} \right.\left| {x,w \in \left\{ {0,\,1} \right\}\left. {^ + } \right\}} \right.$$
D
$$\left\{ {xw{w^R}} \right.\left| {x,w \in \left\{ {0,\,1} \right\}\left. {^ + } \right\}} \right.$$
3
GATE CSE 2007
MCQ (Single Correct Answer)
+2
-0.6
Consider the following finite state automation GATE CSE 2007 Theory of Computation - Finite Automata and Regular Language Question 44 English

The language accepted by this automation is given by the regular expression

A
$${b^ * }a{b^ * }a{b^ * }a{b^ * }$$
B
$${\left( {a + b} \right)^ * }$$
C
$${b^ * }a{\left( {a + b} \right)^ * }$$
D
$${b^ * }a{b^ * }a{b^ * }$$
4
GATE CSE 2007
MCQ (Single Correct Answer)
+2
-0.6
Consider the following finite state automation GATE CSE 2007 Theory of Computation - Finite Automata and Regular Language Question 43 English

The minimum state automation equivalent to the above $$FSA$$ has the following number of states

A
$$1$$
B
$$2$$
C
$$3$$
D
$$4$$
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GATE CSE Subjects
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
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 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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