Math Chapter Wise question with answer

Q01 Let G be a cyclic group of order 6. Then, the number of elements g ∈ G, such that G = <g> is English · UP PGT 2021 Q02 Let G be a finite group and Z ⊂ ⊂ ⊂ G be its center, Assume G/Z is cyclic, Then– English · JDD-75-PGT TIER II-X-15 28.06.2015 Q03 Let G be a cyclic group of order 24 then total number of group isomorphism of G onto itself is– English · JDD-75-PGT TIER II-X-15 28.06.2015 Q04 Let S7 denotes the group of permutations of the set {1,2,3, 4,5,6,7}. Which of the following is true? English · Bihar (TRE 1.0) -2023 Q05 Let G be a commutative group of order 202. Then the number of element(s) of order 2 in G is English · Bihar (TRE 1.0) -2023 Q06 Let N be normal subgroup of a group G and f: G → G N is a mapping defined by f(x) = xN ∀ x∈G, then f is English · RPSC PGT 2022