Math Chapter Wise question with answer

Q01 Let p be a prime number, then f (x) = xp – 1∈ Q [x] has splitting field Q (α), if English · UPPSC GDC 2021 Q02 Let P be a prime number and G be a group of order 4 P Then– English · JDD-75-PGT TIER II-X-15 28.06.2015 Q03 Let p be a prime number. How many distinct sub-rings (with unity) of cardinality p does the field Fp2 have? 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 φ(n) denotes the Euler totient function, then the value of φ(15) is equal to: English · OAVS TGT 2019