# MCQs of Group Theory With Answers in PDF

October 22, 2022One Comment

If you’re finding MCQs of Group Theory then you are in the right place where you will find a complete series of group theory questions. You will get a complete solved MCQs quiz with Answers in PDF form for offline practice. We can cover different topics in this group theory series like Normad space, linear Group, Subgroup, P_group, Abelian group, etc. Other MCQs questions quizzes are as follows: Quiz.1, Quiz.2, Quiz.3, Quiz,4.

## Group Theory MCQs Quiz

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Group Theory MCQs Quiz.5

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1. The number of generators of Z₅₀ is?

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

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3. Let G be a cyclic group of order 6, then a number of elements g ∈ G such that G = < g >?

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4. ∀ n > 2, the number of generators of a cyclic group of order n?

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5. If G = {a,1,3,9,19,27} is a cyclic group under multiplication modulo 56 , then a = ------?

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6. All proper subgroups of the following group are cyclic.

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7. For any integer n > 2 , how many elements are in U(n) which satisfy x² = 1?

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8. Let p be prime. If a group has more than p-1 elements of order p then?

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9. Let G be a group of order 17, then a number of elements of order 17 in G are?

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10. The order of the subgroup of Z₉₀ generated by 31 is?

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11. Let G be a group of prime order greater than 4, then G can be generated by?

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12. If a and a² both are generators of a cyclic group of order n, then?

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13. Let G be a group of order p q where p and q are distinct primes then?

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14. Choose the correct statement.

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15. Let G = < a : a⁶¹ = e > , The number of generators of G are?