Group Theory MCQs Quiz.1 || Group Theory Online Test

Group theory multiple-choice questions for university final exams as well as entrance tests. All these Group theory MCQs are picked from university past papers or as well competitive exams. If you’re finding group theory questions for university final-year exams. After solving this quiz you will be able to be ready for group theory exams at university.

Group Theory MCQs Quiz.1

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Group Theory MCQs Quiz.1

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1. Let (Q,⊛) be a group under ⊛ defined by a ⊛ b = a+b+1/2, then the 1order of '-3' is?

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2. Which of the following set is a group under ⊛ where a ⊛ b = a+b+1/2?

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3. Which of the following is a mixed group?

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4. The inverse of (1 2 3) in S₃ is?

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5. The inverse of 3 in U(10) =?

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6. What is the order of (1 4 5 7)(2 3)(6 8 9)?

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7. A group in which each element has finite order is?

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8. No. of elements of order 5 in Z₁₀?

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9. Set of complex numbers C is -------- under ⊛ where a ⊛ b = |ab| ∀ a, b ∈ C?

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10. Which of the following is not a periodic group?

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11. The set {1,2,3} under multiplication modulo 4 is?

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12. What is the identity in (R⁺,⊛) where a ⊛ b = bᵃ ∀ a,b ∈ R⁺?

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13. Every group has a ------- idempotent element.

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14. Space R³ under cross-product forms a?

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15. Let |a| = 5 and e ≠ b ∈ G such that b² = aba⁻¹ , then |b| = ----?