The mean and variance of 7 observations are 8 and 16, respectively. If five observations are 2, 4, 10, 12, 14, then the absolute difference...

The negation of the Boolean expression $x \leftrightarrow \sim y$ is equivalent to:

Consider the statement: "For an integer n , if $\mathrm{n}^3-1$ is even, then n is odd." The contrapositive statement of this statement is :

Which one of the following is a tautology?

The negation of the Boolean expression $\sim s \vee(\sim r \wedge s)$ is equivalent to:

Contrapositive of the statement :
‘If a function f is differentiable at a, then it is also continuous at a’, is

Given the following two statements: $\left(\mathrm{S}_1\right):(\mathrm{q} \vee \mathrm{p}) \rightarrow(\mathrm{p} \leftrightarrow \sim \mathrm{q})$ is a tautology: $\left(\mathrm{S}_2\right): \sim \mathrm{q} \wedge(\sim \mathrm{p} \leftrightarrow \mathrm{q})$ is a fallacy....

If $p \rightarrow(p \wedge \sim q)$ is false, then the truth values of $p$ and $q$ are respectively :

Let $p, q, r$ be three statements such that the truth value of $(p \wedge q) \rightarrow(\sim q \vee r)$ is $F$. Then the truth...

If $p \Rightarrow(q \vee r)$ is false, then truth values of $p, q, r$ are respectively: