# Group Theory MCQs With Answers in PDF

Group theory MCQs are most important for every entrance test as well as job-level tests. Solved multiple choice questions of group theory available for university final semester exams. In this group theory, MCQs series all these MCQs quiz questions are collected from past paper exams. Solving all these quizzes is careful because its important for your final semester preparations. Other Group theory quizzes are Quiz.1, Quiz.2, Quiz.3.

## Group Theory MCQs Quiz

/16

Group Theory MCQs Quiz.4

1 / 16

1. Which of the following is false?

2 / 16

2. The number of elements of order 55 in a non-cyclic group of order 55?

3 / 16

3. If |G| = 23 , then G is?

4 / 16

4. If O(G) = p q where p and q are distinct primes, p<q and p do not divide q⁻¹, then G has ------ of order p?

5 / 16

5. If O(G) = 100 and G is cyclic, then a number of subgroups of G are -----?

6 / 16

6. If G = U(25), then the maximum order of an element in G is -----.

7 / 16

7. Every open interval is?

8 / 16

8. The non-zero element of a finite field is a ------ group under multiplication.

9 / 16

9. A finitely generated subgroup of ----- is cyclic?

10 / 16

10. U(20) = { 1 , 3 , 7 , 9 , 11 , 13 , 17 , 19 } is a -----?

11 / 16

11. There must exist an element of order 6 in?

12 / 16

12. Which of the following is a cyclic group?

13 / 16

13. Sₙ is non-cyclic for ------?

14 / 16

14. Cyclic group (Z,+) has ------- generators?

15 / 16

15. If all proper subgroups of G are cyclic, then G is -----?

16 / 16

16. Z₄ is a ------- of Z₈?