Home
Class 12
MATHS
Which of the following pairs are logical...

Which of the following pairs are logically equivalent ?

A

Conditional, Contrapositive

B

Conditional , Inverse

C

Contrapositive, conserse

D

Inverse, contrapositive

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • MATHEMATICAL REASONING

    OBJECTIVE RD SHARMA|Exercise Exercise|40 Videos
  • MATHEMATICAL INDUCTION

    OBJECTIVE RD SHARMA|Exercise Exercise|30 Videos
  • MAXIMA AND MINIMA

    OBJECTIVE RD SHARMA|Exercise Chapter Test|30 Videos

Similar Questions

Explore conceptually related problems

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

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

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

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

Which of the following is logically equivalent to ~(~p implies q)

Which of the following is logically equivalent to ~(~prArr q) ?

Which of the following is logically equivalent to ~[p to (p vv ~ q)] ?

Which of the following is logically equivalent to ~[ p to ( p vv ~q)] ?

OBJECTIVE RD SHARMA-MATHEMATICAL REASONING -Chapter Test
  1. Which of the following sentences is a statement ?

    Text Solution

    |

  2. The property ~ ( p ^^ q) -= ~ p vv ~ q is called

    Text Solution

    |

  3. When does the inverse of the statement ~ p Rightarrow q results in T...

    Text Solution

    |

  4. which of the following is a contradiction ?

    Text Solution

    |

  5. In which of the following is equivalent cases, p Rightarrow q is fal...

    Text Solution

    |

  6. Which of the following is equivalent to p Rightarrow q ?

    Text Solution

    |

  7. Which of the following pairs are logically equivalent ?

    Text Solution

    |

  8. Which of the following is contingency ?

    Text Solution

    |

  9. The statement p vv q is

    Text Solution

    |

  10. Which of the following is a tautology ?

    Text Solution

    |

  11. The statement p Rightarrow p vv q

    Text Solution

    |

  12. what are the truth values of ( ~ p Rightarrow ~ q) and ~( ~ p Rightar...

    Text Solution

    |

  13. If truth values of p vv q is true ,then truth value of ~ p ^^ q is

    Text Solution

    |

  14. If p and q are two statements, then p vv ~ ( p Rightarrow ~ q) is ...

    Text Solution

    |

  15. The contrapositive of statement ~ p Rightarrow ( p ^^ ~ q) is

    Text Solution

    |

  16. ~ [ ~ p ^^ ( p harr q)] -=

    Text Solution

    |

  17. If a compound statement r is contradiction , then the truth value of ...

    Text Solution

    |

  18. When does the value of the statement (p ^^ r) harr ( r ^^ q) become...

    Text Solution

    |

  19. If p always speaks against q, then p Rightarrow p vv ~ q is

    Text Solution

    |

  20. Which of the following connectives satisfy commutatiive law ?

    Text Solution

    |