Math Chapter Wise question with answer

Q01 In the group S3 of all permutations on the set of 3 elements, the maximum number of permutations y satisfying y3 =... English · UKPSC Lecturer (Mains) 2020 Q02 In the group { { { } } { { } } 10 G 2,4,6,8. = the identity element is English · UP PGT-2016 (02-02-2019) Q03 Let G be a group with identity element e. Let a, b∈G be such that a5 =e and aba–1 =b2. Then o(b) is English · LT 2018/ PGT 2010, 2005 Q04 Let φ be a homomorphism of a group G into another group G' and e, e' be their identity elements. Which of the follo... English · PGT 2005 Q05 If N is a set of natural numbers, '*' is an operation such that a*b = a + b + ab ∀ a, b N, ∈ then identity element... English · UKPSC Lecturer (Mains) 2020 Q06 Let G be the set of all positive rational numbers. lf * is a binary operation defined on G by a*b = ab a,b G 3 ∀ ∈... English · JDD-75-PGT TIER II-X-15 28.06.2015