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Using contrapositive method prove th...

Using contrapositive method prove that, if `n^(2)` is an even integer , then n is also an even integer.

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Let `p: n^(2)` an even integer.
q: n is also an even integer.
Let ~p is ture i.e., n is not an even integer.
`rArr n^(2) ` is not an even integer.`" "["since, square of an odd integer is odd"]`
`rArr ~ p` is ture.
Therefore, ~q is ture `rArr ~p` is true.
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NCERT EXEMPLAR-MATHEMATICAL REASONING -OBJECTIVE TYPE QUESTIONS
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  2. Which of the following is a statement ?

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  3. Which of the following is not a statement.

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  4. The connective in the statement 2 + 7 gt 9 or 2+ 7 lt 9 is

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  6. The negative of the statement ''A circle is an ellispe'' is

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  7. The negative of the statement ''7 is greater than 8'' is

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  8. The negation of the statement ''72 is divisble by 2 and 3'' is

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  10. The negative of the statement ''Rajesh or Rajni lived in Bengaluru'' ...

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  11. The negation of the statement ''101 is not mulitple of 3'' is

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  13. The converse of the statement ''If x gt y, then x + a gt y + a'' is

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  14. The converse of the statement ''If sum is not shining, then sky is ...

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  15. The contrapositive of the statement ''if p, then q '', is

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  16. The statement ''<b>If x^(2) is not even, then x is not even</b>'' is ...

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  17. The contrapositive of statement <b><b>'If Chandigarh is capital of P...

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  18. Which of the following is the conditional p to q?

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  19. The negative of the statement ''The product of 3 and 4 is 9'' is

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  20. Which of the following is not a negative of ''A nature number is ...

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  21. Which of the following statement is a conjunction ?

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