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The contrapositive of the statement If p...

The contrapositive of the statement If p then q is

A

` ~ q to ~p `

B

` ~ p to q `

C

` q to p`

D

` p harr q`

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The correct Answer is:
A
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OBJECTIVE RD SHARMA ENGLISH-MATHEMATICAL REASONING -Exercise
  1. Logical equivalent propostion to the proposition ~ ( p ^^ q) is

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  2. Write the inverse of the converse of p implies q.

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  3. The contrapositive of the statement If p then q is

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  4. If p and q are two simple propositions, then p to q is false when

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  5. If p and q are two statement then (p <-> ~ q) is true when : (a) p and...

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  6. If p,q and r are simple propositions such that (p^^q)^^(q^^r) is true,...

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  7. If p and q are two propositions, then ~ ( p harr q) is

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  8. p ^^ ( q ^^ r) is logically equivalent to

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  9. ~ ( ~p) harr p is

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  10. Which of the following is a proposition ?

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  11. Which of the following propositions is a tautology ?

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  12. The conditional statement (p^^q) to p is

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  13. Which of the following is false ?

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  14. Given that water freezes below zero degree celsius. Consider the fo...

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  15. If p,q,r have truth values T,F,T respectively, which of the following ...

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  16. If p to (qvvr) is false, then the truth values of p,q, and r are, res...

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  17. The negation of the propostion q vv ~ ( p ^^ r) is

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  18. Which of the following is logically equivalent to ( p^q) ?

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  19. Which of the following is logically equivalent to ~(~pto q)?

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  20. which of the following is a contradiction ?

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