Relation Between Set Notation and Truth Table - Practice Questions & MCQ

What is negation of x > 5 ?

If p and q are both false , then which of the following is false ? 

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

Consider the following three statements :
(A) If $3+3=7$ then $4+3=8$.
(B) If $5+3=8$ then earth is flat.
(C) If both $(A)$ and $(B)$ are true then $5+6=17$.

Then, which of the following statements is correct?

The statement $\mathrm{p} \wedge(\sim \mathrm{p} \vee \mathrm{q})$ is equivalent to

Choose the corect option for th following truth table : 

$\begin{array}{|c|c|c|}
\hline r & s & r \wedge s \\
\hline T & T & (\mathrm{I}) \\
\hline T & F & (\mathrm{II}) \\
\hline F & T & (\mathrm{III}) \\
\hline F & F & (\mathrm{IV}) \\
\hline
\end{array}$

Choose the correct option for the following table : 

$\begin{array}{|c|c|c|}
\hline r & s & r v s \\
\hline T & T & \text { (I) } \\
\hline T & F & \text { (II) } \\
\hline F & T & \text { (III) } \\
\hline F & F & \text { (IV) } \\
\hline
\end{array}$

The expression $\sim \left ( \sim p\rightarrow q\right )$ is logically equivalent to : 

$\sim (P \vee q ) =$

$p \vee q$  has the truth value F if