Home
Class 12
MATHS
The contrapositive of the statement p to...

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

A

`(q ^^ r) to ~p`

B

`(~q ^^ r) to ~p

C

`( ~q to ~r) to p`

D

`(q ^^ ~r) to ~p`

Text Solution

Verified by Experts

The correct Answer is:
A
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

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

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

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

The contrapositive of the statement : ''If 7 is greater than 5, then 8 is greater than 6'' is :

The contrapositive of the statement ''If 2^(2)=5 then I get first class'' is

The contrapositive of the statement "if x^{2}-1=q 0 then x=q-1 or (x=q1) is

Write the converse and contrapositive of the statement "If a triangle is eqalateral ,it is isosceless"?

Write the converse and contrapositive of the statement " If x is a prime number then x is odd "

The contrapositive of the inverse of p rarr ~q is

The converse of the contrapositive of the conditional pto~q is

HIMALAYA PUBLICATION-MATHEMATICAL REASONING-Question Bank
  1. (t ^^ p) harr p, where t is a tautology, is

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  17. Which of the following is not a proposition?

    Text Solution

    |

  18. Let p be the proposition "mathematics is interesting" and q be the pro...

    Text Solution

    |

  19. Which of the following is always true?

    Text Solution

    |

  20. The logically equivalent statement of p harr q is

    Text Solution

    |