Relations Test ...

$$p \Rightarrow \,q$$ can also be written as 

If $$R$$ is relation is "greater then or equal" from $$A=\left\{1,2,3,4\right\}$$ to $$B=\left\{4,5,6\right\}$$, then $$R^{-1}=$$

Which of the following is always true

If $$A={a,b,c,d,e}$$, then the number of equivalence relations on $$A$$ is 

The relation $$R=\left\{(1, 1), (2, 2), (3, 3)\right\}$$ on the set $$\left\{1, 2, 3\right\}$$ is 

The number of ordered pairs (x, y) of natural numbers satisfy the equation $$x^2+y^2+2xy-2018x-2018y-2019^o=0$$ is?

Let xyz =105 where x,y,z,then number of ordered triplets (x,y,z) satisfying the given equation

Let $$N$$ be the set of all positive integers and $$\phi$$ be a relation on $$N\times \ N$$ defined by $$(a,b)\times (c,d)$$. If $$ad(b+c)=bc(a+d)$$ then $$\phi$$ is

Let $$f:R\rightarrow R$$ be defined as 
$$f(x)={ x }^{ 3 }+{ 2x }^{ 2 }+4x+sin\left( \dfrac { \pi x }{ 2 }  \right) $$ and  $$g(x)$$be the inverse function of f(x), then $${ g }^{ ' }(8)$$is equal to :

Let $$X$$ be a family of sets and $$R$$ be a relation on $$X$$ defined by $$'A$$ is disjoint from $$B ^ { \prime }$$ . Then $$R$$ is _________.