Let R 1 3 2 2 3 2 And S 2 1 3 2 2 3 Be Two Relations On Set A 1 2 3 Then Sor
Let R = {(1,3), (2,2), (3,2)} and S = {(2,1), (3,2), (2,3)} be two relations on set A = {1,2,3}.... View Article
Let R = {(1,3), (2,2), (3,2)} and S = {(2,1), (3,2), (2,3)} be two relations on set A = {1,2,3}.... View Article
Let R and S be two relations on set A. Then 1) R and S are transitive, then R ∪... View Article
Let R and S be two equivalence relations on a set A. Then 1) R U S is an equivalence... View Article
Solution set of x = 3 (mod 7), P ϵ Z, is given by 1) {3} 2) {7p – 3... View Article
A relation “congruence modulo m” is 1) Reflexive only 2) Transitive only 3) Symmetric only 4) An equivalence relation Solution:... View Article
In order that a relation R defined on a non – empty set A is an equivalence relation, it is... View Article
R is a relation over the set of real numbers and it is given by nm ≥ 0. Then r... View Article
If R is an equivalence relation on a set A, then R-1 is 1) Reflexive only 2) Symmetric but not... View Article
Which one of the following relations on R is an equivalence relation? 1) aR1 b ⇔ |a| = |b| 2)... View Article
Let R1 be a relation defined by R1 = {(a, b)| a ≥ b, a, b ϵ R}. Then R1... View Article
The void relation on a set A is 1) Reflexive 2) Symmetric and transitive 3) Reflexive and symmetric 4) Reflexive... View Article
The number of reflexive relations of a set with four elements is equal to 1) 216 2) 2 3) 28... View Article
Let A be the set of the children in a family. The relation ‘x’ is a brother of ‘y’ on... View Article
In the set A = {1,2,3,4,5} a relation R is defined by R = {(x, y)| x, y ϵ A... View Article
The relation R defined on the set A is antisymmetric if (a, b) ϵ R ⇒ (b, a) ϵ R... View Article
The relation “is a subset of” on the power set P(A) of a set A is 1) Symmetric 2) Antisymmetric... View Article
Let R = {(a, a)} be a relation on set A. Then r is 1) Symmetric 2) Antisymmetric 3) Symmetric... View Article
Let R be a relation on set A such that R = R^(–1), then R is 1) Reflexive 2) Symmetric... View Article
The relation R defined in N as aRb ⇔ b is divisible by a is 1) Reflexive but not symmetric... View Article
An integer m is said to be related to another integer n if m is a multiple of n. Then... View Article