`A={1,2,3,4}` and `R={(1,2),(2,3),(1,4)}` be a relation on `A` .Let `S` be the equivalence relation on `A` such that `R sub S` and the number of elements in "S" is `n` .Then, the minimum value of `n` is___________

Let A={1,2,3,...........,100} .Let R be a relation on A defined by (x,y)in R if and only if 2x=3y .Let R_(1) be a symmetric relation on A such that RsubR_(1) and the number of elements in R_(1) is n .Then, the minimum value of n is:

Let A = {1, 2, 3, 4}, and let R = {(2, 2), (3, 3), (4, 4), (1, 2)} be a relation on A. Then, R, is

If R is the smallest equivalence relation on the set {1, 2, 3, 4} such that {(1,2), (1,3)}sub R , then the number of elements in R is ______

Let A={1,2,3,4}R={(2,2),(3,3),(4,4),(1,2)} be a relation on A.Then R is 1) reflexive 2) symmetric 3 ) transitive 4 ) Both 1 & 2

Let A={1,2,3} and R={(1,2),(1,1),(2,3)} be a relation on A. What minimum number of ordered pairs may be added to R so that it may become a transitive relation on A.

Let A={1,2,3} and R={(1,2),(1,1),(2,3)} be a relation on on A. What minimum number of ordered pairs may be added to R so that it may become a transitive relation on A.