Math Chapter Wise question with answer

Q01 The order of sylow 3-subgroup of a group of order 12 is English · UPPSC GDC 2021 Q02 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 Q03 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 Q04 If H and K are subgroups of a group G such that O(H) = 3 and O(K) = 5, then what will be O(H∩ ∩ ∩K)? English · UP PGT 2021, 2016 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 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