Math Chapter Wise question with answer

Q01 Let * be a binary operation defined on the set of positive rational number Q+ by the rule a*b ab, a,b Q 3 + = ∀ ∈ =... English · LT 2018 Q02 For any positive integers a and 3, there exist unique integers q and r such that a = 3q + r, where r must satisfy English · Bihar (TRE 1.0) -2023 Q03 Consider the congruence xn ≡ ≡ 2(mod13). This congruence has a solution for x if English · Bihar (TRE 1.0) -2023 Q04 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 Q05 The number of group homo-morphisms from Z10 to Z20 is English · Bihar (TRE 1.0) -2023 Q06 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