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Given below are two pairs of statements....

Given below are two pairs of statements. Combine these two statements using ''if and only if ''.
(i) p: If a rectangle is a square, then all its four sides are equal. q: If all the four sides of a rectangle are equal, then the rectangle is a square.
(ii) p: If the sum of digits of a number is divisible by 3, then the number is divisible by 3.
q: If a number is divisible by 3, then the sum of its digits is divisible by 3.

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NCERT TAMIL-MATHEMATICAL REASONING-Miscellaneous Exercise on Chapter 14
  1. Given below are two pairs of statements. Combine these two statements ...

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  2. Write the negation of the following statements: p: For every positiv...

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  3. Write the negation of the following statements: q: All cats scratch.

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

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  5. Write the negation of the following statements: s: There exists a n...

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

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

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

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

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

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

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

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

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