List of top Mathematics Questions on types of relations

Let $f(x) = ax^2 + bx + c$ be such that f(1) = 3, f(-2) = λ and f(3) = 4. If f(0) + f(1) + f(-2) + f(3) = 14, then λ is equal to

On $R$, a relation $\rho$ is defined by $x \rho y$ if and only if $x - y$ is zero or irrational. Then

On the set $R$ of real numbers, the relation $\rho$ is defined by $x \rho y, (x, y) \in R$

The number of onto mappings from the set A = {1, 2, ....., 100} to set B = {1, 2} is:

The maximum number of equivalence relations on the set $A = \{1$, $2$, $3\}$ are