Math Chapter Wise question with answer

Q01 M is a maximal ideal of the commutative ring R if and only if: English · OPSC PGT 2017 Q02 Total number of ideals of the ring 5 Z = {0,1,2, 3,4},+5, 5 × is English · Rajasthan TGT 2011 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 p ≥ 5 be a prime. Then English · Bihar (TRE 1.0) -2023 Q05 Let p be a prime number, then f (x) = xp – 1∈ Q [x] has splitting field Q (α), if English · UPPSC GDC 2021 Q06 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)