State the rule for divisibility by \(3\) in “if–then” forms that are converses of each other. Using this rule, verify whether \(372\) is divisible by \(3\), giving reasons.
Proposition P : If then
Here the number \(372\)
The sum of the digit is =
Also, is
Converse Q: If then
To check \(372\) is divisible by \(3\)
The sum of the digit is =
Since is
Therefore, \(372\)