Which of the following statements is/are not | vedclass

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(B) Step $1$: Analyze statement $I$. Let $P$ be '$1$ is not a prime number' (True) and $Q$ be '$2$ is not a prime number' (False). The implication $P

Vedclass · Accepted Answer

$	ext{Only I}$

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(B) Step $1$: Analyze statement $I$. Let $P$ be '$1$ is not a prime number' (True) and $Q$ be '$2$ is not a prime number' (False). The implication $P \implies Q$ is $T \implies F$, which is False.Step $2$: Analyze statement $II$. '$e$ is a vowel' is True and '$12 	imes 3 = 36$' is True. Since both are True, the conjunction is True.Step $3$: Analyze statement $III$. Let $P$ be '$14$ is a composite number' (True) and $Q$ be '$3$ is an even number' (False). The conjunction $P \land Q$ is False. The statement 'It is not true that $P \land Q$' is $
eg(F)$, which is True.Step $4$: Analyze statement $IV$. '$\sqrt{5}$ is an irrational number' is True. '$3 + \sqrt{5}$ is a complex number' is True (as all real numbers are complex). Since both are True, the statement is True.Step $5$: Conclusion. Only statement $I$ is not true. Therefore, the correct option is $B$.

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Consider the following three statements:
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$R: \text{L.C.M. of } 5 \text{ and } 7 \text{ is } 35$.
Then,the truth value of which one of the following statements is true?

Which statement given below is a tautology?

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 values of $p, q, r$ are respectively:

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