Question

Match the terms of Column I with terms of Column II and choose the correct option from the codes given below.

Column I(Statements)		Column II(Contrapositive Statements)
A	If a number is divisible by 9 , then it is divisible by 3	1	If you are not a citizen of India, then you were not born in India
B	If you are born in India, then you are a citizen of India.	2	If a triangle is not isosceles, then it is not equilateral.
C	If a triangle is equilateral, then it is isosceles.	3	If a number is not divisible by 3 , it is not divisible by 9 .

• A. A - (3), B - (1), C - (2)
• B. A - (1), B - (2), C - (3)
• C. A - (1), B - (1), C - (2)
• D. A - (3), B - (2), C - (1)

Answer 1

Answer: (A)

The contrapositive of the given statements are
A. If a number is not divisible by 3 , it is not divisible by 9 .
B. If you are not a citizen of India, then you were not born in India.
C. If a triangle is not isosceles, then it is not equilateral. The above examples show the contrapositive of the statement if " $p$ then $q$ " is "if $\sim q$ then $\sim p$ ".