2nd PUC Mathematics Series 3 December 3, 2020December 22, 2020wefruPUC Science 2nd Year Mathematics Series-3 quiz 0 Created on December 02, 2020 By wefru2nd PUC Mathematics Series 3TEST YOUR KNOWLEDGE OF SCIENCE 1 / 1021. The number of commutative binary operation that can be defined on a set of 2 elements is 2 3 5 6 2 / 1022. The maximum number of equivalence relations on the set A = {1, 2, 3} are 5 6 7 8 3 / 1023. Let us define a relation R in R as aRb if a ≥ b. Then R is an equivalence relation reflexive, transitive but not symmetric symmetric, transitive but not reflexive neither transitive nor reflexive but symmetric 4 / 1024. Let A = {1, 2, 3} and consider the relation R = {(1, 1), (2, 2), (3, 3), (1, 2), (2, 3), (1, 3)}. Then R is reflexive but not symmetric reflexive but not transitive symmetric and transitive neither symmetric, nor transitive 5 / 1025. Which of the following functions from Z into Z are bijective? f(x) = x3 f(x) = x + 2 f(x) = 2x + 1 f(x) = x2 + 1 6 / 1026. Let R be a relation on the set N of natural numbers denoted by nRm ⇔ n is a factor of m (i.e. n | m). Then, R is Reflexive and symmetric Transitive and symmetric Equivalence Reflexive, transitive but not symmetric 7 / 1027. Let R be the relation “is congruent to” on the set of all triangles in a plane is reflexive symmetric symmetric and reflexive equivalence 8 / 1028. Total number of equivalence relations defined in the set S = {a, b, c} is 5 2 3 4 9 / 1029. The mapping f : N → N is given by f(n) = 1 + n2, n ∈ N when N is the set of natural numbers is one-one and onto onto but not one-one one-one but not onto neither one-one nor onto 10 / 1030. The function f : R → R given by f(x) = x3 – 1 is a one-one function an onto function a bijection neither one-one nor onto Your score isThe average score is 0% LinkedIn Facebook Twitter VKontakte 0% Restart quiz