Math Chapter Wise question with answer

Q01 Let Z be the additive group of integers and E the additive subgroup of even integers with zero, then the number of... English · UPPSC GIC 2021 UPPSC Ashram Paddhati 2021 Q02 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 Q03 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 Q04 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 Q05 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 Q06 Let 'H' be a subgroup of 'G' and 'N' be a normal subgroup of G, then H∩ ∩ ∩N is - English · UPPSC Polytechnic Lecturer 2021(II) JDD-75-PGT TIER II-X-15 28.06.2015