Question

(i) Number $3$ is prime or it is odd

(ii) All integers are positive or negative

(iii)$100$ is divisible by $3,11$ and $5$

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Solution

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$p$ : Number $3$ is prime

$q$ : Number $3$ is odd

Both the statements are true

(ii) The component statements are as follows

$p$ : All integers are positive

$q$ : All integers are negative

Both the statements are false

(iii) The component statements are as follows

$p$ :$100$ is divisible by $3$

$q$ : $100$ is divisible by $11$

$r$ : $100$ is divisible by $5$

Here the statements $p$ and $q$ are false and statement $r$ is true

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