Home
Class 12
MATHS
If S(p,q,r)=(~p)vv(~(q ^^ r)) is a compo...

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

A

`p ^^ (q vee r) `

B

`p vee (q ^^ r)`

C

`A ( p, q, r ) `

D

`~ A (p , q , r) `

Text Solution

Verified by Experts

The correct Answer is:
B
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) to (~ p vv r) is a false statement, then respective truth values of p, q and r are

If (p ^^ ~q) vv (q ^^r) is true and q and r both true then p is-

Negation of the statement ~ p to (q vv r) is

If statement (p vv-r)rarr(q^^r) is false and statement q is true then statement p is-

The dual of the statement (p vv q) ^^ ~(r vv s) is

"The negation of the statement= " (p vv q)^^ r is

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

    |