Home
Class 12
MATHS
Observe the following statements I : ...

Observe the following statements
I : The dual of `[ ~p ^^ q)] vv [ p ^^ {~(q vv ~s)}]` is `[~(p vv q)] ^^ [p vv{~(q ^^ ~s)}]`
II : The dual of `~p ^^ [(~q) ^^ (p vv q) ^^ ~r]` is `~p vv[~q) vv(p ^^ q) vv ~r]`
The true statements in the above is/are :

A

only I

B

ony

C

both I, II

D

neither I nor II

Text Solution

Verified by Experts

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

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

[p ^^ (~ q)] ^^ [(~p) vv q] is

The statement ~(p harr ~q) is

The truth table of p vv (~q) is

The truth table of (~p) vv(~q) is

The truth table of p vv (~q) rArr p is

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

The truth table of ~p) vv q is

AAKASH SERIES-MATHEMATICAL REASONING -Practice Exercise
  1. Let p and q be two proposition given by p : I play cricket during th...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  5. p rarr q is logically equivalent to

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  11. Which of the following is always true ?

    Text Solution

    |

  12. Which of the following propositions is a tautology ?

    Text Solution

    |

  13. Which of the following proposition is a tautology ?

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  20. The contrapositive of the following statement, "If the side of a squar...

    Text Solution

    |