Home
Class 12
MATHS
~(prarrq)rarr[(~p)vv(~q)] is...

~(p`rarr`q)`rarr`[(~p)`vv`(~q)] is

A

a tautology

B

a contradiction

C

neither a tautology nor contradicion

D

cannot come any statement.

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • MATHEMATICAL REASONING

    DISHA PUBLICATION|Exercise Exercise-2 : Concept Applicator|30 Videos

  • MATHEMATICAL REASONING

    DISHA PUBLICATION|Exercise Exercise-2 : Concept Applicator|30 Videos

  • LINEAR INEQUALITIES

    DISHA PUBLICATION|Exercise Exercise -2 : Concept Applicator|30 Videos

  • MATRICES

    DISHA PUBLICATION|Exercise Exercise 2: Concept Applicator|30 Videos

Similar Questions

Explore conceptually related problems

The proposition S : (p rArr q) iff (~p vv q) is a

p vv ~(p ^^ q) is a

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

The following statement (p rarr q)rarr[(sim p rarr q)rarr q] is: equivalent to p rarr-q(2) a fallacy a tautoloyy (4) equivalent to -p rarr q

The following statement : ( p rarr q ) rarr [ ( p rarr q ) rarr q ] is :

Show that (p^^q)vv(~p)vv(p^^~q) is a tautology

The statement which is not a tautology is (p harr q)[(p rarr q)^^(q rarr q)] b.(p rarr q)vv(sim p rarr q) c.(p^^q)rarr(p vv q)d(p^^q)vv[(p vv q)rarr-q]

DISHA PUBLICATION-MATHEMATICAL REASONING-Exercise-1 : Concept Builder
  1. The conditional statement (p^^q) to p is

    Text Solution

    |

  2. If p,q and r are simple propositions such that (p^^q)^^(q^^r) is true,...

    Text Solution

    |

  3. ~(prarrq)rarr[(~p)vv(~q)] is

    Text Solution

    |

  4. Consider the following statement. "If a triangle is equiangular, then...

    Text Solution

    |

  5. Negation of the proposition : If we control population growth, we pros...

    Text Solution

    |

  6. Consider the following statements : p: He is intelligent q: He is ...

    Text Solution

    |

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

    Text Solution

    |

  8. The contrapositive of the statement, 'If I do not Secure good marks th...

    Text Solution

    |

  9. Which of the following is the converse of the statement? "if Billu sec...

    Text Solution

    |

  10. If p, q and r are any three logical statements, then which one of the ...

    Text Solution

    |

  11. Negation of the statement (p ^^ r) -> (r vv q) is-

    Text Solution

    |

  12. Write the negation of the compound propostion . "If the examination is...

    Text Solution

    |

  13. Consider the following statements P: Suman is brilliant Q: Suman i...

    Text Solution

    |

  14. The contrapositive of p -> (~q -> ~r) is-

    Text Solution

    |

  15. Negation of "Ram of in class X or Rashmi is in Class XII" is

    Text Solution

    |

  16. "Let p : I am Brave", "q : I will climb the Mount Everest. " "The s...

    Text Solution

    |

  17. Let p ^^ (q vv r)=(p ^^ q) vv(p ^^ r). Then this law is known as

    Text Solution

    |

  18. "The negation of the statement =" [(~p^^q)vv(p^^~q)] " is "

    Text Solution

    |

  19. Consider the following statement I: The negation of the statement "T...

    Text Solution

    |

  20. Let p: Kiran passed the examination, q: Kiran is sad The symbolic ...

    Text Solution

    |