Question

Write the converse of the following statement."If a number is divisible by six, then it is divisible by three."

Answer 1

The converse of the implication a ⇒ b is b ⇒ a. That is, the converse of

"If a, then b"

has the predicate and conclusion swapped, as in

"If b, then a"

So the converse of

"If a number is divisible by six, then it is divisible by three."

would be

"If a number is divisible by three, then it is divisible by six."

(Of course, this statement is not true; consider the number 3, which is not divisible by 6.)