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The false statement in the following is...

The false statement in the following is

A

`~p ^^ (~p)` is a contradiction

B

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

C

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

D

`p vv (~p)` is a tautology

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The correct Answer is:
B
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HIMALAYA PUBLICATION-MATHEMATICAL REASONING-Question Bank
  1. The logically equivalent statement of ~(p ^^ ~q) is

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  2. Negation of the statement ~p to (q vv r) is

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  3. The false statement in the following is

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  4. The compound statement (p ^^ q) to ( p vv q) is

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  5. (t ^^ p) harr p, where t is a tautology, is

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  6. (c ^^ p) harr c, where c is a contradiction is

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  7. The contrapositive of the statement p to ( ~q to ~r) is

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  8. If x = 4 and y = -3 , then 2x-y =11. The contrapositive of this statem...

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  9. Negation of the statement p t (q ^^ r) is

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  10. The inverse of the proposition (p ^^ ~q) to r is

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  11. If p and q be two statement, then the Bioconditional statement p iffq ...

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  12. Which of the following is true for the proposition p and q?

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  13. The negation of the statement ' A circle is an ellipse' is

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  14. The negation of the statement ' 7 is greater is than 8' is

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  15. The negation of the statement ' 72 is divisible by 2 and 3' is

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  16. The negation of the statement ' plants take in co(2) and give o(2)' is

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  17. The negation of the statement ' Rajesh or Rajni lived in Banglore' is

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

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  19. The converse of the statement , "If x ge y then x + a ge y + a' is

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  20. The statement ' If x ^ 2 is not even then x is not even ' converse is

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