Math Chapter Wise question with answer

Q01 In the field () R,, ⊕ ⊙, where R is the set of real numbers and a ⊕ ⊕ ⊕ b = a + b – 1; a b ⊙ = a+b-ab ∀ ∀ ∀ a, b ∈... English · UPPSC Polytechnic Lecturer 2021(II) Q02 The coset decomposition of multiplicative group G={1,–1,i,–i} with respect to its subgroup H = {1, –1} is English · PGT 2009 Q03 Let S7 denotes the group of permutations of the set {1,2,3, 4,5,6,7}. Which of the following is true? English · Bihar (TRE 1.0) -2023 Q04 The set of units is Z14 (under the usual operation modulo 14 addition and multiplication) is given by: English · JSSC PGT 2018 Q05 The set of non-zero complex numbers form a group under: English · OPSC PGT 2017 Q06 Which of the following sets of vectors is linearly independent? English · KVS TGT 2017