Math Chapter Wise question with answer

Q01 Let be a group and a be an element of order 12 in G. Then the order of a8 is: English · UP PCS (Pre) 1999 Q02 Let G be a group and let H be any subgroup of G, If N be any normal subgroup of G, then English · Rajasthan TGT 2015 Q03 Let f be a homomorphism from a group G into a group G'. Then which of the following is not true? English · Rajasthan TGT 2016 Q04 Let x, y be any two elements of a group (G, o). Then (x o y)–1 equals: English · UP PCS (Pre) 1999 Q05 Let X = {1 2, 3, 4, 5,}, A = {1, 2}, B = {3, 4, 5} and φ denote the void set. If S × T denotes the Cartesians produ... English · EMRS PGT-2023 Q06 Let A = [ 1, ∞ ∞ ∞), B = (3, ∞ ∞ ∞) and C = (–∞ ∞ ∞, 2).Then, (A ∩ B) ∪ (A ∩ C) equals: English · EMRS PGT-2023