Which of the following is the inverse of the proposition : “If a number is a prime then it is odd.”
If a number is not a prime then it is odd
If a number is not a prime then it is not odd
If a number is not odd then it is not a prime
If a number is not odd then it is a prime
Consider the statement : "For an integer $n$, if $n ^{3}-1$ is even, then $n$ is odd." The contrapositive statement of this statement is
The negative of $q\; \vee \sim (p \wedge r)$ is
Dual of $(x \vee y) \wedge (x \vee 1) = x \vee (x \wedge y) \vee y$ is
Negation of “Ram is in Class $X$ or Rashmi is in Class $XII$” is
The negation of the Boolean expression $((\sim q) \wedge p) \Rightarrow((\sim p) \vee q)$ is logically equivalent to