Tamil Nadu Board Solutions for Chapter: Discrete Mathematics, Exercise 3: Exercise 3

The truth table for $\left(p\wedge q\right)\vee \neg q$ is given below

Which one of the following is true? (where $\neg$ detones negation)

In the last column of the truth table for $\neg \left(p\vee \neg q\right)$ the number of final outcomes of the truth value $\text{'}F\text{'}$ are

Which one of the following is incorrect? For any two propositions $p$ and $q$, we have

Which one of the following is correct for the truth value of $\left(p\wedge q\right)\to \neg p$?

The dual of $\neg \left(p\vee q\right)\vee \left[p\vee \left(p\wedge \neg r\right)\right]$ is

The proposition of $p\wedge \left(~p\vee q\right)$ is 

Determine the truth value of each of the following statements:

$\left(a\right) 4+2=5$ and $6+3=9$

$\left(b\right) 3+2=5$ and $6+1=7$

$\left(c\right) 4+5=9$ and $1+2=4$

$\left(d\right) 3+2=5$ and $4+7=11$

Which one of the following is not true?