Relations Test ...

Which one of the following is an elementary symmetric function of  $$x_{1},x_{2},x_{3},x_{4}$$.

The solution of $$8x\equiv 6(mod \  14) $$ is

If relation R$$=\left \{ (x,  x+2)  :  x  \in  N, 1 \leq  x <4 \right \}$$ then R is

The minimum number of elements that must be added to the relation $$R=\{(1,2,),(2,3)\} $$ on the set of natural numbers so that it is an equivalence is

If $$R$$ is the relation 'less than' from $$A=\{1, 2, 3, 4, 5\}$$ to $$B=\{1, 4\}$$, the set of ordered pairs corresponding to $$R$$, then the inverse of $$R$$ is

Let $$R = \{(2,3),(3, 4)\}$$ be relation defined on the set of natural numbers. The minimum number of ordered pairs required to be added in $$R$$ so that enlarged relation becomes an equivalence relation is

If $$A =\{1,2,3\}$$, $$B=\{1,4,6,9\}$$ and $$R$$ is a relation from $$A$$ to $$B$$ defined by '$$x$$ is greater than $$y$$'. The range of $$R$$ is

If $$ X =\{1, 2,3,4,5\} $$ and $$Y =\{1,3,5,7,9\}$$, determine which of the following sets represent a relation and also a mapping?

If $$A$$ is the set of even natural numbers less than $$8$$ and $$B$$ is the set of prime numbers less than $$7$$, then the number of relations from $$A$$ to $$B$$ is

If A $$=$${$$x : x^{2}-3x+2= 0$$}, and $$R$$ is a universal relation on $$A$$, then $$R$$ is