Home
Class 12
MATHS
If p and q have truth value 'F', then th...

If p and q have truth value 'F', then the truth values of `(~ p vv q) harr ~(p ^^ q)` and `p harr (p to ~q)` are respectively

A

F, F

B

F, T

C

T,F

D

T, T

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • MATHEMATICAL REASONING

    MCGROW HILL PUBLICATION|Exercise EXERCISE (LEVEL 1 ( SINGLE CORRECT ANSWER TYPE QUESTIONS ))|15 Videos

  • MATHEMATICAL REASONING

    MCGROW HILL PUBLICATION|Exercise EXERCISE (LEVEL 2 ( SINGLE CORRECT ANSWER TYPE QUESTIONS ))|5 Videos

  • MATHEMATICAL REASONING

    MCGROW HILL PUBLICATION|Exercise SOLVED EXAMPLES (LEVEL 2 ( SINGLE CORRECT ANSWER TYPE QUESTIONS ))|14 Videos

  • MATHEMATICAL INDUCTION AND BINOMIAL THEOREM

    MCGROW HILL PUBLICATION|Exercise Questions from Previous Years. B-Architecture Entrance Examination Papers|20 Videos

  • MATRICES

    MCGROW HILL PUBLICATION|Exercise Questions from Previous Years. B -Architecture Entrance Examination Papers|22 Videos

Similar Questions

Explore conceptually related problems

If p^^q=F,ptoq=F then the truth values of p and q are

If p is true and q is false then the truth values of (p harr q) harr (~q to ~p) and (~p vv q)^^(~q vv p) are respectively

Find the truth values of (i) ~p harr q " " (ii) ~ (p harr q)

Find the truth values of (i) ~(Pvv~q)" " (ii) ~(~p^^~q)

The truth values of p,q and r for which (p ^^ q)vv(~r) has truth value F are respectively

Find the truth values of (i) ~ p to q " " (ii) ~ ( p to q)

Find the truth values of (a) (pharr~q) harr(p to p) " " (b) (p to q) vv~(p harr ~q)

If truth values of p vv q is ture,then truth value of ~ p ^^ q is

Given 'p' and 'q' as true and 'r' as false, the truth values of ~p ^^ (q vv ~r) and (p to q) ^^ r are respectively

MCGROW HILL PUBLICATION-MATHEMATICAL REASONING -EXERCISE (CONCEPT-BASED (SINGLE CORRECT ANSWER TYPE QUESTIONS ))
  1. Which of the following is not a proposition ?

    Text Solution

    |

  2. Which of the following is a statement?

    Text Solution

    |

  3. Which of the following is not statement?

    Text Solution

    |

  4. Suppose p and q are two statements and p vee (~q) is false, then trut...

    Text Solution

    |

  5. Let p and q be the statements: p: It is cold. q: She needs a hot ...

    Text Solution

    |

  6. Let p and q stand for the statements: p: Monica is old . q: She ...

    Text Solution

    |

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

    Text Solution

    |

  8. ~ p ^^ q is logically equivalent to

    Text Solution

    |

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

    Text Solution

    |

  10. Identify the false statement

    Text Solution

    |

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

    Text Solution

    |

  12. Which of the following statements is false

    Text Solution

    |

  13. Which of the following statement is dual of p ^^ ( q vee r ) equiv ...

    Text Solution

    |

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

    Text Solution

    |

  15. If p and q have truth value 'F', then the truth values of (~ p vv q) h...

    Text Solution

    |

  16. Which of the following is a tautology ?

    Text Solution

    |

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

    Text Solution

    |

  18. Which of the following is not always true ?

    Text Solution

    |

  19. The converse of the contrapositive of the conditional p to ~ q is

    Text Solution

    |

  20. Suppose t denotes the tautology and c denotes the contradiction. Let p...

    Text Solution

    |