Question

Given below are two statements
p : $25$ is a multiple of $5$
q : $25$ is a multiple of $8$
Write the compound statements connecting these two statements with "And" and "Or"
In both cases check the validity of the compound statement

Answer 1

Given
$p:$ $25$ is a multiple of $5$
$q:$ $25$ is a multiple of $8$
The compound statement with 'and' is
$p\wedge q:$ $25$ is a multiple of $5$ and $8$
This is a false statement since $25$ is not a multiple of $8$.
The compound statement with 'or' is
$p\vee q:$ $25$ is a multiple of $5$ or $8$
This is a true statement since $25$ is not a multiple of $8$ but it is a multiple of $5$