Find the component statements of the following compound statements and check whether they are true or false. 100 is divisible by 3, 11 and 5.

The part explanations are

(a) \[100\]is detachable by \[3\]

(b) \[100\]is detachable by \[11\]

(c) \[100\]is separable by \[5\]

Here, the articulations \[\left( a \right)\text{ }and\text{ }\left( b \right)\]are bogus and \[\left( c \right)\]is valid.