1. Tardigrade
  2. Question
  3. Mathematics
  4. 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 .

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Q. 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 .

Mathematical Reasoning

Solution:

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 $\sim p$ ".