Which of the following statement(s) is/are no | vedclass

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(B) Step $1$: Analyze statement $I$. 'If $1$ is not a prime number (True), then $2$ is not a prime number (False).' $A$ conditional statement $P \impl

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Only $I$

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(B) Step $1$: Analyze statement $I$. 'If $1$ is not a prime number (True), then $2$ is not a prime number (False).' $A$ conditional statement $P \implies Q$ is false only when $P$ is true and $Q$ is false. Thus, $I$ is false.Step $2$: Analyze statement $II$. '$e$ is a vowel (True) and $12 	imes 3 = 36$ (True).' Since both parts are true, the conjunction is true.Step $3$: Analyze statement $III$. 'It is not true that ($14$ is composite (True) $AND$ $3$ is even (False)).' The inner conjunction is false, so its negation is true. Thus, $III$ is true.Step $4$: Analyze statement $IV$. '$\sqrt{5}$ is irrational (True) $AND$ $3 + \sqrt{5}$ is a complex number (True, as all real numbers are complex).' Since both are true, the statement is true.Step $5$: Conclusion. Only statement $I$ is not true. The correct option is $B$.

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