Home
Class 12
MATHS
If p to (~ p vvq) is false, the truth va...

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

A

F,F

B

T,T

C

T,F

D

F,T

Text Solution

Verified by Experts

The correct Answer is:
C
Suppose `p to (~p vv q) -= F`
`rArr p -= T` and `~ p vv q -= F`
`rArr p` is true and both ~ p and q are false.
So, p is true and q is false.
Promotional Banner

Topper's Solved these Questions

  • MATHEMATICAL LOGIC

    MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS|Exercise MHT CET CORNER|22 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 pto(~pvvq) is false, then the truth values of p and q are respectively

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

The compound statement p to ( ~ p ^^ q) 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

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

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

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

MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS-MATHEMATICAL LOGIC -PRACTICE EXERCISE (Exercies 2 (MISCELLANEOUS PROBLEMS))
  1. If p, q and r are any three logical statements, then which one of the ...

    Text Solution

    |

  2. Among the following statements, which is a tautology ?

    Text Solution

    |

  3. Which of the following is not always true ?

    Text Solution

    |

  4. Converse of the statement ''If a number x is even, then x^(2) is even'...

    Text Solution

    |

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

    Text Solution

    |

  6. The truth values of p,q and r for which (p ^^ q)vv(~r) has truth value...

    Text Solution

    |

  7. p vv ~(p ^^ q) is a

    Text Solution

    |

  8. The false statement among the following is

    Text Solution

    |

  9. Which of the following is true for any two statements p and q ?

    Text Solution

    |

  10. The proposition (p to ~p) ^^ (~p to p) is a

    Text Solution

    |

  11. For integers m and n, both greater than 1, consider the following thre...

    Text Solution

    |

  12. The statement ~(p harr ~q) is

    Text Solution

    |

  13. ~[(~p)^^q] is logocally equivalent to

    Text Solution

    |

  14. The statement p to(q to p) is equivalent to

    Text Solution

    |

  15. If S(p,q,r)=(~p)vv(~(q ^^ r)) is a compound statement, then S(~p,~q,~r...

    Text Solution

    |

  16. ~(p vv q)vv (~p ^^ q) is logically equivalent to

    Text Solution

    |

  17. Dual of (x vv y) ^^ (x vv 1) = x vv x ^^ y vv y is

    Text Solution

    |

  18. ~[(~p)^^q] is logocally equivalent to

    Text Solution

    |

  19. The negation of ~ svv(~ r^^s) is equivalent to :

    Text Solution

    |

  20. Given statement is 'if x = y, then x^(2) = y^(2), and the statement ar...

    Text Solution

    |