Question

Which of the following statements is valid? $125$ is divisible by $5$ and $7$. $131$ is a multiple of $3$ or $11$.

• A. Only Statement-I
• B. Only Statement-II
• C. Both Statement-I and Statement-II
• D. Neither Statement-I nor Statement-II

Answer 1

Answer: (D)

Neither Statement-I nor Statement-II

Answer 2

$125$ is divisible by $5$ and $7$. Let $q : 125$ is divisible by $5$. [True] $r : 125$ is divisible by $7$. [False] Since $q$ is true, $r$ is false $\Rightarrow q \wedge r$ is false. Therefore, statement-I is not valid. $131$ is a multiple of $3$ or $11$. Let $q : 131$ is a multiple of $3$. [False] $r : 131$ is a multiple of $11$. [False] $q$ is false, $r$ is false $\Rightarrow q \vee r$ is false. Hence, statement-II is not valid.