Home
Class 11
MATHS
The contrapositive of the statement If p...

The contrapositive of the statement If p then q is

A

if q , then p

B

if p, then ~q

C

if ~q. then ~p

D

if ~p, then ~q

Text Solution

Verified by Experts

The correct Answer is:
C

`p to q`
If p, then q
Contrapositive of the statement `p to q` is `(~q) to (~p)`.
Promotional Banner

Topper's Solved these Questions

  • MATHEMATICAL REASONING

    NCERT EXEMPLAR ENGLISH|Exercise OBJECTIVE TYPE QUESTIONS|21 Videos
  • LINEAR INEQUALITIES

    NCERT EXEMPLAR ENGLISH|Exercise Objective Type Questions|14 Videos
  • PERMUTATIONS AND COMBINATIONS

    NCERT EXEMPLAR ENGLISH|Exercise Matching The Columns|5 Videos

Similar Questions

Explore conceptually related problems

The contrapositive of the statement If x is a prime number then x is odd is

The contrapositive of p⇒q, is

The contrapositive of the statement, 'If x is a prime number and x divides ab then x divides a or x divides b", can be symnolically represented using logical connectives, on appropriately defined statements p, q, r, s as

The contrapositive of the statement "I go to school if it does not rain" 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 the weather is fine then my friends will come and we go for a picnic".

The contrapositive of the statement ''If two triangles are identical, then they are similar'' is

The contrapositive of the statement 'If I am not feeling well, then I will go to the doctor' is:

The contrapositive of statement 'If Chandigarh is capital of Punjab , then Chandigarh is in India" is

The diagonals of a rhombus are perpendicular. The contrapositive of the above statement is

NCERT EXEMPLAR ENGLISH-MATHEMATICAL REASONING -OBJECTIVE TYPE QUESTIONS
  1. Which of the following is not a statement.

    Text Solution

    |

  2. The connective in the statement 2 + 7 gt 9 or 2+ 7 lt 9 is a]-and...

    Text Solution

    |

  3. The connective in the statement ''Earth revolves round the Sun and Mo...

    Text Solution

    |

  4. The negative of the statement ''A circle is an ellispe'' is

    Text Solution

    |

  5. The negative of the statement ''7 is greater than 8'' is

    Text Solution

    |

  6. The negation of the statement ''72 is divisble by 2 and 3'' is

    Text Solution

    |

  7. The negation of the statement ''Plants take in CO(2) and given out...

    Text Solution

    |

  8. The negative of the statement ''Rajesh or Rajni lived in Bengaluru'' ...

    Text Solution

    |

  9. The negation of the statement ''101 is not mulitple of 3'' is

    Text Solution

    |

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

    Text Solution

    |

  11. The converse of the statement ''If x gt y, then x + a gt y + a'' is

    Text Solution

    |

  12. The converse of the statement ''If sum is not shining, then sky is ...

    Text Solution

    |

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

    Text Solution

    |

  14. The statement ''<b>If x^(2) is not even, then x is not even</b>'' is ...

    Text Solution

    |

  15. The contrapositive of statement <b><b>'If Chandigarh is capital of P...

    Text Solution

    |

  16. Which of the following is the conditional ptoq is

    Text Solution

    |

  17. The negative of the statement ''The product of 3 and 4 is 9'' is

    Text Solution

    |

  18. Which of the following is not a negative of ''A nature number is ...

    Text Solution

    |

  19. Which of the following statement is a conjunction ?

    Text Solution

    |

  20. State whether the follownig sentence are statements or not (i) The ...

    Text Solution

    |