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Using the words " necessary and sufficie...

Using the words " necessary and sufficient " rewrite the following two biconditional statements :
The integer N is even if and only if `N^(2)` is even .

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The correct Answer is:
The necessary and sufficient condition that the integer N be even is `N^(2)` must be odd .
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CHHAYA PUBLICATION-MATHEMATICAL REASONING -EXERCISE ( Short Answer Type Questions )
  1. Rewrite each of the following compound statements with " if ……., then ...

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  2. Rewrite each of the following compound statements with " if ……., then ...

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  3. Rewrite each of the following compound statements with " if ……., then ...

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  4. Rewrite each of the following compound statements with " if ……., then ...

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  5. Rewrite each of the following compound statements with " if ……., then ...

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  6. Rewrite each of the following compound statements with " if ……., then ...

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  7. Rewrite each of the following compound statements with " if ……., then ...

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  8. Write the component statements of each of the follwing compound statem...

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  9. Write the component statements of each of the follwing compound statem...

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  10. Write the component statements of each of the follwing compound statem...

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  11. Write the component statements of each of the follwing compound statem...

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  12. Write the component statements of each of the follwing compound statem...

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  13. Write the component statements of each of the follwing compound statem...

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  14. Write the negation of the following statements and check whether the r...

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  15. Write the negation of the following statements and check whether the r...

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  16. Write the negation of the following statements and check whether the r...

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  17. Write the negation of the following statements and check whether the r...

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  18. Write the negation of the following statements and check whether the r...

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  19. Using the words " necessary and sufficient " rewrite the following two...

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  20. Using the words " necessary and sufficient " rewrite the following two...

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