26 Questions around this concept.
Negation of the statement:
$\sqrt{5}$ is an integer or 5 is irrational' is :
If $p \rightarrow(p \wedge \sim q)$ is false, then the truth values of p and q are respectively :
The logical statement
$(p\Rightarrow q)\wedge (q\Rightarrow \sim p)$ is equivalent to :
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The statement among the following that is tautology is:
The statement ${100} p\rightarrow (q\rightarrow p)$ is equivalent to
Let p and q be any two logical statements and $r: p \rightarrow(\sim p \vee q)$ If r has a truth value F, then the truth values of $p$ and $q$ are respectively:
Q1. Write the negations of the following:
1. Ram is a doctor or peon.
2. Room is clean and big.
3. $\sqrt{5}$ is a rational number.
4. If Ram is a doctor then he is smart
Q. Write the truth table for the following statements
1. $\sim(\mathrm{p} \vee((\sim \mathrm{q} \Rightarrow \mathrm{q}) \wedge \mathrm{q}))$
2. $(\mathrm{p} \wedge \mathrm{q}) \vee(\sim \mathrm{r})$
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