Home
Class 12
MATHS
Which of the following statement is a ta...

Which of the following statement is a tautology

A

`(~p vv q) rarr (p vv ~q)`

B

`(~p vv ~q) rarr p vv q`

C

`(p vv ~q) ^^ (p vv q)`

D

`(~p vv ~q) vv (p vv q)`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • MATHEMATICAL REASONING

    AAKASH SERIES|Exercise Practice Exercise|21 Videos

  • LOGARITHMIC SERIES

    AAKASH SERIES|Exercise EXERCISE - III|8 Videos

  • MEAN VALUE THEOREMS

    AAKASH SERIES|Exercise EXERCISE|28 Videos

Similar Questions

Explore conceptually related problems

Which of the following statement is right

Which of the following statement is right

Which of the following statement is right

Which of the following statement is right

Which of the following statement is not true

Which of the following statement is wrong

Which of the following statements is right

Which of the following statements is right

AAKASH SERIES-MATHEMATICAL REASONING -Practice Exercise
  1. Which of the following statement is a tautology

    Text Solution

    |

  2. Which of the following is a proposition

    Text Solution

    |

  3. Let p and q be two proposition given by p : I play cricket during th...

    Text Solution

    |

  4. If x = 5 and y = -2, then x - 2y = 9. The contrapositive of this propo...

    Text Solution

    |

  5. Consider the proposition : "If we control population growth, then we p...

    Text Solution

    |

  6. Consider the following propositions p : I have the raincoat. q : I...

    Text Solution

    |

  7. p rarr q is logically equivalent to

    Text Solution

    |

  8. The contrapositive of p rarr (~q rarr ~r) is

    Text Solution

    |

  9. The negation of p ^^ ~(q ^^ r) is

    Text Solution

    |

  10. The contra positive of (~p ^^ q) rarr ~r is

    Text Solution

    |

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

    Text Solution

    |

  12. (p ^^ ~q) ^^ (~p vv q) is

    Text Solution

    |

  13. Which of the following is always true ?

    Text Solution

    |

  14. Which of the following propositions is a tautology ?

    Text Solution

    |

  15. Which of the following proposition is a tautology ?

    Text Solution

    |

  16. Observe the following statements I : The dual of [ ~p ^^ q)] vv [ p...

    Text Solution

    |

  17. Match the duals of t he statements in List - I : {:(,"List - I",,"Li...

    Text Solution

    |

  18. Match the duals of the statements in list - I : {:(,"List - I",,"Lis...

    Text Solution

    |

  19. Observe the following statements : Statements - I : (p vv q) ^^ (~p ...

    Text Solution

    |

  20. Observe the following statements Statement - I : p vv ~(p ^^ q) is a...

    Text Solution

    |

  21. Consider the following two statements P :if 7 is an odd number, then...

    Text Solution

    |