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The contrapositive of the statement ''if...

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

A

if q , then p

B

if p, then ~q

C

if ~q. then ~p

D

if ~p, then ~q

Text Solution

Verified by Experts

The correct Answer is:
C
`p to q`
If p, then q
Contrapositive of the statement `p to q` is `(~q) to (~p)`.
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NCERT EXEMPLAR-MATHEMATICAL REASONING -OBJECTIVE TYPE QUESTIONS
  1. Which of the following is not a statement.

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

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  3. The connective in the statement ''Earth revolves round the Sun and Mo...

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

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

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

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  7. The negation of the statement ''Plants take in CO(2) and given out...

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

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

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  10. The contrapositive of the statement ''If 7 is greater than 5, then ...

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

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

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

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

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

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

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

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

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  19. Which of the following statement is a conjunction ?

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  20. State whether the follownig sentence are statements or not (i) The ...

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