Math Chapter Wise question with answer

Q01 Let G be a group with binary operation *defined by a*b=a+b+1, ∀ ∀ ∀ a, b ∈ G. Inverse of element C of G is English · UP PGT-2016 (02-02-2019) Q02 Let G be the set of all positive rational numbers. lf * is a binary operation defined on G by a*b = ab a,b G 3 ∀ ∈... English · JDD-75-PGT TIER II-X-15 28.06.2015 Q03 Let S be a set of two elements. The number of different binary compositions that can be defined is: English · TGT 2004 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 (R,+) be the additive group of real numbers and let (R,) + i i be the multiplicative group of positive real num... English · Rajasthan TGT 2011 Q06 Let a, b be positive integers with a > b and a + b = 24. Suppose that the following congruence's have a common inte... English · Bihar (TRE 1.0) -2023