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State the converse and contrapositive of each of the following statements:
p: A positive integer is prime only if it has no divisors other than 1 and itself.

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The correct Answer is:
The statement can be written as ''If a positive integer is prime, then it has no divisors other than 1 and itself.
The converse of the statement is
If a positive integer has no divisors other than 1 and itself, then it is a prime.
The contrapositive of the statement is
If positive integer has divisors other than 1 and itself then it is not prime.
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NCERT BANGLISH-MATHEMATICAL REASONING-Miscellaneous Exercise on Chapter 14
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  2. Write the negation of the following statements: q: All cats scratch.

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  3. Write the negation of the following statements: r: For every real n...

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  5. State the converse and contrapositive of each of the following stateme...

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  7. State the converse and contrapositive of each of the following stateme...

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  8. Write each of the statements in the form ''if p, then q'' p: It is n...

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  9. Write each of the statements in the form ''if p, then q'' q: There i...

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  10. Write each of the statements in the form ''if p, then q'' r: You can...

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  11. Rewrite each of the following statements in the form ''p if and only i...

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  12. Rewrite each of the following statements in the form ''p if and only i...

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  13. Rewrite each of the following statements in the form ''p if and only i...

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  14. Given below are two statements p : 25 is a multiple of 5. q : 25 i...

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  15. Check the validity of the statements given below by the method given a...

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  16. Write the following statement in five different ways, conveying the sa...

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