Math Chapter Wise question with answer

Q01 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 Q02 A bounded (linear) operator from X to Y is a linear transformation T:X → → → Y such that the operator norm T is: English · OPSC PGT 2017 Q03 If p is a prime number, then any group of order 2p has a normal subgroup of order English · UPPSC GDC 2021 UPPSC Polytechnic Lecturer 2021(II) Q04 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 Q05 Let G be a group of order 30 and let A, B be normal subgroups of orders 2 and 5 respectively. Then G O AB is – English · UP PGT 2021 Q06 Consider the following statements: I. Every subgroup of an abelian group is normal subgroup. II. The union of two n... English · UKPSC Lecturer (Mains) 2020