Math Chapter Wise question with answer

Q01 For integers a, b & m, a b(modm) f(a) f(b)(modm), when f() is: English · OPSC PGT 2017 Q02 Let G be a group we know that G is the internal direct product of two subgroups of H and K. It is not true when: English · DSSSB TGT 04-09-2021 Shift-I (Male) Q03 For a group G the factor group G/H is defined when the subgroup H is English · (GIC) Lecture Exam, 2015 Q04 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 Q05 Consider the congruence xn ≡ ≡ 2(mod13). This congruence has a solution for x if English · Bihar (TRE 1.0) -2023 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