Math Chapter Wise question with answer

Q01 How many generators does a cyclic group of order n have? English · TGT 2010 Q02 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 Q03 How many elements (Permutations) in S6 commutes with σ = (123)(34) ∈ S6? English · DSSSB PGT 2021 Q04 If the prime p ≥ 7, then how many consecutive quadratic residues (mod p) will be English · UP Higher Asst. Prof. 2021 Q05 For what values of p and q will the following pair of linear equations have infinitely many solutions? 4x 5y 2 (2p... English · OAVS TGT 2018 Q06 The value of c for which the pair of equations cx – y = 2 and 6x – 2y = 3 will have infinitely many solutions is: English · OAVS TGT 2018