Math Chapter Wise question with answer

Q01 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 Q02 Let p ≥ 5 be a prime. Then English · Bihar (TRE 1.0) -2023 Q03 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 Q04 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 Q05 Let φ(n) denotes the Euler totient function, then the value of φ(15) is equal to: English · OAVS TGT 2019 Q06 Let p be a prime number, then f (x) = xp – 1∈ Q [x] has splitting field Q (α), if English · UPPSC GDC 2021