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Which of the following is false ?...

Which of the following is false ?

A

`p vv ~ p` is a tautology

B

` ~ ( ~ p ) harr p` is a tautology

C

` ( p ^^ ( p to q)) to p ` is a contradiction

D

`p ^^ ~ p ` is a contradiction

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The correct Answer is:
C
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OBJECTIVE RD SHARMA-MATHEMATICAL REASONING -Exercise
  1. Which of the following propositions is a contradiction ?

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  2. p ^^ q to p is

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  3. Which of the following is false ?

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

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

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  6. If p to (q vv r) is false, then the truth values of p,q,r are respect...

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

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

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

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  10. which of the following is a contradiction ?

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  11. The negative of the statement If a number isdivisible by 15 then it is...

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  12. Consider the proposition : " if the pressure increases, the volume dec...

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  13. Consider the proposition : " if we control polulation growth, we prosp...

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  14. The negative of p ^^ ~ ( p ^^ r) is

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  15. The nagative of p ^^ ~ ( ~ q ^^ r) is

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  16. The contra positive of ( ~ p ^^ q) to ~ r is

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  17. p to q is logically equivalent to

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  18. Which of the following is logcially equivalent to ~ ( p harr q) ?

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

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  20. which of the following is logically equivalent to ( p ^^ q) ?

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