Department of Pre-University Education, KarnatakaPUC Karnataka Science Class 11
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State the Converse and Contrapositive of Statement: a Positive Integer is Prime Only If It Has No Divisors Other than 1 and Itself. - Mathematics

State the converse and contrapositive of  statement:

 A positive integer is prime only if it has no divisors other than 1 and itself.

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Solution

Converse of the given statement:
If a positive integer has no divisors other than 1 and itself, then it is prime.
Contrapositive of the given statement:
If a positive integer has some divisors other than 1 and itself, then it is not prime.

  Is there an error in this question or solution?
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APPEARS IN

RD Sharma Class 11 Mathematics Textbook
Chapter 31 Mathematical reasoning
Exercise 31.5 | Q 2.3 | Page 21
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