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Welcome to the Group Theory MCQs Page

Dive deep into the fascinating world of Group Theory with our comprehensive set of Multiple-Choice Questions (MCQs). This page is dedicated to exploring the fundamental concepts and intricacies of Group Theory, a crucial aspect of Discrete Mathematics. In this section, you will encounter a diverse range of MCQs that cover various aspects of Group Theory, from the basic principles to advanced topics. Each question is thoughtfully crafted to challenge your knowledge and deepen your understanding of this critical subcategory within Discrete Mathematics.

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Check out the MCQs below to embark on an enriching journey through Group Theory. Test your knowledge, expand your horizons, and solidify your grasp on this vital area of Discrete Mathematics.

Note: Each MCQ comes with multiple answer choices. Select the most appropriate option and test your understanding of Group Theory. You can click on an option to test your knowledge before viewing the solution for a MCQ. Happy learning!

Group Theory MCQs | Page 7 of 9

Q61.
Every cyclic group is a/an ______
Discuss
Answer: (b).abelian group
Discuss
Answer: (a).A cyclic module in a ring with any non-zero element as its generator
Q63.
A finite group G of order 219 is __________
Discuss
Answer: (d).a cyclic group
Q64.
The number of generators of cyclic group of order 219 is __________
Discuss
Answer: (a).144
Q65.
The order of a simple abelian group is __________
Discuss
Answer: (a).infinite
Q66.
The Number of Elements Satisfying g7=e in a finite Group F is ______
Discuss
Answer: (c).odd
Q67.
All the rings of order p2 is ____________
Discuss
Answer: (d).commutative
Q68.
An element of a commutative ring R(1≠0) is nilpotent if __________
Discuss
Answer: (b).aⁿ = 0, for some positive integer n
Q69.
A group G of order 20 is __________
Discuss
Answer: (a).solvable
Q70.
Consider an integer 23 such that 23 >= 3p for a 2p-cycle in a permutation group, then p is ___________
Discuss
Answer: (a).odd prime
Page 7 of 9

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