Question

If the integer is divisible by 6, then it is divisible by 3. what is the converse of this conditional statement?

a. if the integer is not divisible by 6, then it is not divisible by 3.
b. if the integer is not divisible by 6, then it is divisible by 3.
c. if the integer is divisible by 6, then it is not divisible by 3.
d. if the integer is divisible by 3, then it is divisible by 6.

Answer 1

Option d is right.

Explanation:

For any statement we can write converse, contrapositive, inverse or negative of the statement.

Here given statement is

If the integer is divisible by 6, then it is divisible by 3

We have to write the converse of it.

X implies Y is statement then converse would y implies x

Hence the given statement has converse as

If the integer is divisible by 3, then it is divisible by 6

Hence option d is right

Note: Converse for all statements need not be true.

Answer 2

d. if the integer is divisible by 3, then it is divisible by 6.