InterviewSolution
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Write the contrapositive and converse of the following statements. (i) If a number is divisible by 9, then it is divisible by 3 (ii) If you are born in India, then you are a citizen of India. (iii) If a triangle is equilateral, then it is isosceles (iv) If x is a prime number, then x is odd |
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Answer» (i) Let p : A number is divisible by 9 q : A number is divisible by 3 Its converse is q ⇒ p and its contrapositive is ~q ⇒~P ∴ contrapositive: ‘If a number is not divisible by 3, then it is not divisible by 9’. Converse: ‘If a number is divisible by 3 then it is divisible by 9. (ii) Contrapositive: ‘If you are not a citizen of India then you were not born in India’. Converse: ‘If you are a citizen of India then you are born in India’. (iii) Contrapositive: ‘If a triangle is not isosceles, then it is not equilateral’. Converse: ‘If a triangle is isosceles, then it is equilateral’. (iv) Contrapositive: ‘If x is not odd, then x is not a prime number’. Converse: If x is odd then x is a prime number |
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