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GATE CSE 2009
MCQ (Single Correct Answer)
+2
-0.6
For the compositive table of a cyclic group shown below GATE CSE 2009 Discrete Mathematics - Set Theory & Algebra Question 37 English

Which one of the following choices is correct?

A
a, b are generators
B
b, c are generators
C
c, d are generators
D
d, a are generators
2
GATE CSE 2007
MCQ (Single Correct Answer)
+2
-0.6
How many different non-isomorphic Abelian groups of order 4 are there?
A
2
B
3
C
4
D
5
3
GATE CSE 2007
MCQ (Single Correct Answer)
+2
-0.6
Consider the set of (column) vectors defined by $$X = \,\{ \,x\, \in \,{R^3}\,\left| {{x_1}\, + \,{x_2}\, + \,{x_3} = 0} \right.$$, where $${x^T} = \,{[{x_1}\, + \,{x_2}\, + \,{x_3}]^T}\} .$$ Which of the following is TRUE?
A
$$\left\{ {{{\left[ {1,\, - 1,\,0} \right]}^T},\,{{\left[ {1,\,\,0 ,- 1,\,} \right]}^T}} \right\}$$ is a basis for the subspace X.
B
$$\left\{ {{{\left[ {1,\, - 1,\,0} \right]}^T},\,{{\left[ {1,\,\,0,\, - 1,\,} \right]}^T}} \right\}$$ is a linearly independent set, but it does not span X and therefore is not a basis of X.
C
X is not a subspace of $${R^3}$$.
D
None of the above.
4
GATE CSE 2007
MCQ (Single Correct Answer)
+2
-0.6
Consider the following Hasse diagrams.
GATE CSE 2007 Discrete Mathematics - Set Theory & Algebra Question 43 English 1
GATE CSE 2007 Discrete Mathematics - Set Theory & Algebra Question 43 English 2
GATE CSE 2007 Discrete Mathematics - Set Theory & Algebra Question 43 English 3
GATE CSE 2007 Discrete Mathematics - Set Theory & Algebra Question 43 English 4

Which all of the above represent a lattice?

A
(i) and (iv) only
B
(ii) and (iii) only
C
(iii) only
D
(i), (ii) and (iv) only
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GATE CSE Subjects
Theory of Computation
Finite Automata and Regular Language Push Down Automata and Context Free Language Undecidability Recursively Enumerable Language and Turing Machine
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 Data Link Layer and Switching Network Layer Application Layer Protocol Routing Algorithm TCP UDP Sockets and Congestion Control Lan Technologies and Wi-Fi Network Security
Software Engineering
Software Engineering
Compiler Design
Lexical Analysis Parsing Syntax Directed Translation Code Generation and Optimization
Web Technologies
Web Technologies
General Aptitude
Verbal Ability Logical Reasoning Numerical Ability
Discrete Mathematics
Set Theory & Algebra Linear Algebra Graph Theory Combinatorics Mathematical Logic Probability Calculus
Programming Languages
Basic of Programming Language Function and Recursion Pointer and Structure in C
Computer Organization
Computer Arithmetic Pipelining Machine Instructions and Addressing Modes Memory Interfacing IO Interface Alu Data Path and Control Unit Secondary Memory
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