Home
Class 12
MATHS
The logically equivalent statement of ~(...

The logically equivalent statement of `~(p ^^ ~q)` is

A

`p ^^ q`

B

`p vv q`

C

`~p vv q`

D

`~p ^^ ~q`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • MATHEMATICAL INDUCTION AND SUMMATION OF SERIES

    HIMALAYA PUBLICATION|Exercise Question Bank|91 Videos

  • MATRICES AND DETERMINANTS

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|367 Videos

Similar Questions

Explore conceptually related problems

p harr q is logically equivalent to

The logical equivalent proposition of p rArr q is

~p^^q is logically equivalent to ...

Statement-1 : ~(p iff~q) is equivalent to p iffq Statement-2 : ~(p iff~q) is tautology.

~[(~p)^^q] is logically equivalent to :

~ [(~p) ^^q] is logically equivalent to

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

(p ^^ ~q)^^(~p ^^ q) is

P ^^ (q ^^ r) is logically equivalent to

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

HIMALAYA PUBLICATION-MATHEMATICAL REASONING-Question Bank
  1. The inverse of the statement " If vec a = vec = 0 or vec b =vec 0 th...

    Text Solution

    |

  2. The negation of the statement " If A . B = 0 then A = 0 or B = 0 (wh...

    Text Solution

    |

  3. The logically equivalent statement of ~(p ^^ ~q) is

    Text Solution

    |

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

    Text Solution

    |

  5. The false statement in the following is

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |