Home
Class 12
MATHS
If (p^^~r) to (~p vvq) is false, then tr...

If `(p^^~r) to (~p vvq)` is false, then truth values of p,q and r are respectively.

A

T, F and F

B

F, F and T

C

F, T and T

D

T, F and T

Text Solution

Verified by Experts

The correct Answer is:
A


Hence, `(p ^^ ~r)to (~p vv q)` is F.
When `p = T, q = F, r = F`
Promotional Banner

Topper's Solved these Questions

  • MATHEMATICAL LOGIC

    MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS|Exercise PRACTICE EXERCISE (Exercies 2 (MISCELLANEOUS PROBLEMS))|26 Videos
  • MATHEMATICAL LOGIC

    MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS|Exercise MHT CET CORNER|22 Videos
  • Linear Programming

    MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS|Exercise MHT CET Corner|13 Videos
  • MATRICES

    MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS|Exercise MHT CET CORNER|18 Videos

Similar Questions

Explore conceptually related problems

If p to (~ p vvq) is false, the truth values of p and q are , respectively

If pto(~pvvq) is false, then the truth values of p and q are respectively

If p to (qvvr) is false, then the truth values of p,q, and r are, respectively.

If pto(q ^^ r) is false, then the truth values of p,q and r are respectively

If pto(ptoq) is false, then the truth values of p and q are respectively

If (pvvq)top is false, then the truth value of p and q are respectively

let p rarr(-p vv r) is false,then truth values of p,q,r are respectively.

If p to (q vv r) is false, then the truth values of p,q,r are respectively

If p rarr (~p vv ~q) is false, then the truth values of p and q are respectively.

If [(pvvq)toq] is false, then the truth- values of p and q are respectively

MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS-MATHEMATICAL LOGIC -MHT CET CORNER
  1. If (p^^~r) to (~p vvq) is false, then truth values of p,q and r are re...

    Text Solution

    |

  2. If p : Every square is a rectangle. q : Every rhombus is a kite, the...

    Text Solution

    |

  3. Which of the following quantified statement is true?

    Text Solution

    |

  4. Symbolic form of the given switching circuit is equivalent to

    Text Solution

    |

  5. The statement (p -> ~p) ^^ (~p -> p) is

    Text Solution

    |

  6. The inverse of the statement (p ^^ ~ q) -> r is

    Text Solution

    |

  7. If x and y have different truth values, then x ^^ (x vv y) is equivale...

    Text Solution

    |

  8. For the circuit shown below, the Boolean polynomial is

    Text Solution

    |

  9. Dual of (x vv y) ^^ (x' vv 1) is

    Text Solution

    |

  10. If p,q,r are single proposition with truth values T, F, F, then the tr...

    Text Solution

    |

  11. The output of the following circuit is

    Text Solution

    |

  12. The proposition (~p)vv(p^~q) is equivalent to

    Text Solution

    |

  13. ~(~p to q) is equivalent to

    Text Solution

    |

  14. Simplify the following circuit and it is equivalent to.

    Text Solution

    |

  15. Simplify (p vv q) ^^ (p vv ~q).

    Text Solution

    |

  16. Negation of the conditional ''If it rains, I shall go to school'' is

    Text Solution

    |

  17. The dual of the statement [p vv(~q)]^^(~p) is

    Text Solution

    |

  18. Which of the following statement has the truth value F ?

    Text Solution

    |

  19. The negation of the statement ''He is rich and happy'' is given by

    Text Solution

    |

  20. ~(p harr q) is a

    Text Solution

    |

  21. ~[(p ^^ q)to(~p vv q)] is a

    Text Solution

    |