MCQS

Group Theory Mcqs With Solution

70. A cycle of length 2 is called a : 

A. Permutation 

B. Transposition 

C. Cycle 

D. Matrix 

71. Every cyclic permutation can be expressed as a … of transposition. 

A. Sum 

A
 

B. Difference 

C. Product 

D. Quotient 

72. A permutation α in Sn is said to be … permutation if it can be written as a product of an even number of transposition. 

A. Even 

B. Odd 

C. Composite 

D. Cyclic 

73. Every transposition is an … permutation.

A. Even 

B. Odd 

C. Composite 

D. Cyclic 

74. A cycle of even length is an … permutation. 

A. Even 

B. Odd 

C. Composite 

D. Cyclic 

75. The product of two even permutations is … permutation. 

A. Even 

B. Odd 

C. Composite 

D. Cyclic 

76. The product of two odd permutations is … permutation. 

A. Even 

B. Odd 

C. Composite 

D. Cyclic 

77. The product of an even and an odd permutations is … permutation. 

A. Even 

B. Odd 

C. Composite 

D. Cyclic 

78. If α is an odd permutation and τ is a transposition, then ατ is … permutation. 

A. Even

B. Odd 

C. Both A and B 

D. None of these 

79. For n ≥ 2, the number of even permutations in Sn is … the number of odd permutations in Sn. 

A. Equal to 

B. Not equal to 

C. Greater than 

D. Lesser than 

80. The set of even permutations in Sn is denoted by: 

A. An 

B. En 

C. S n 2 

D. None of these 

See also  Group Theory For BS Msc Or ADP By Zr Bhatti 2022
 
Previous page 1 2 3 4 5 6 7 8 9Next page

Leave a Reply

Your email address will not be published. Required fields are marked *

Back to top button