# MCQs Quiz on Group Theory

If you find multiple-choice questions for group theory exams. In these past papers MCQ quizzes there are different types of questions. There we discuss the commutative law of group theory and the associative law of groups. After solving these MCQs types quiz test you will be able to download these MCQs in pdf for further offline study. Another Quiz of Group theory MCQ questions is there, Click here.

## Group Theory MCQs Quiz.2:

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Group Theory MCQs Quiz.2

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1. Choose the correct option for subgroups.

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2. In G = < a,b : a⁴ = e , a² = b² , bab⁻¹ = a⁻¹ > , then ba = -----?

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3. What is the order of 7 in U(15)?

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4. If there is only element a ∈ G of some specific order then?

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5. Point out the group containing two commutative elements ( say a, b ) , b ≠ a⁻¹ such that |ab| < lcm (|a|,|b|)?

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6. Let A be an Abelian group and F be a set of all elements of finite order in A. Then F is ----?

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7. Let G = < a : a⁸¹ = e > , then |a¹⁵| =?

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8. The total number of subgroups of Dₙ?

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9. Maximum order of any element in S₁₀ is -----?

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10. The number of distinct cycles of length 3 in S₅?

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11. {-1,1,i,-i} is a subgroup of?

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12. G = < x, y : x⁵ = y² = e , x⁴ y = y x > , then G is?

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13. For two commutative elements a, b ∈ G , gcd(|a|,|b|) = d and lcm(|a|,|b|) = m , then |(ab)ᵈ| = -----?

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14. The no. of elements of order 5 in S₅?

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15. The presentation < x, y : x¹⁵ = y² = e , yxy⁻¹ = x¹¹ > indicates that order of group is?

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