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 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 Q03 Let H be a subgroup of G and N be a normal subgroup of G then H ∩ ∩ ∩ N is– English · JDD-75-PGT TIER II-X-15 28.06.2015 Q04 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 Q05 Let G be a group we know that G is the internal direct product of two subgroups of H and K. It is not true when: English · DSSSB TGT 04-09-2021 Shift-I (Male) Q06 Let G=(Z,+) be the additive group of integers and let H=3Z={3x x Z} ∈ be a subgroup of G, then order of the quotien... English · Rajasthan TGT 2011