KERALA UNIVERSITY Class 3 discrete structures Question Paper 2020

Practice authentic previous year questions for better exam preparation.

Sample Questions

(i) $p \rightarrow(q \vee r) \leftrightarrow(p \rightarrow q) v(p \rightarrow r)$ (ii) $\neg(p \rightarrow q) \leftrightarrow p \wedge \neg q$
(b) Let set $A=\{1,2,3,4\}$ and let $R$ be an equivalence relation on $A$ partitions $A$ into $\{1,2\},\{3\},\{4)$. Find the relation $R$.
(a) Give a relation which is both symmetric and antisymmetric on set $A=\{1,2,3,4\}$.
(d) Let set $A=\{1,2,3,4\}$ and $R$ is a relation on $A$ defined by $R=\{(1,1),(2,2),(1,2),(2,1)$. Find the properties of the relation. Is it an equivalence relation? OR
(b) Let $N$ be the set of natural numbers and $f$ is a function from $N$ to $N$ defined by $f(x)=3 x+7$. Check whether the function is bijective.