Home
Class 12
MATHS
The negation of ~svv(~r^^s) is equivale...

The negation of `~svv(~r^^s) ` is equivalent to

A

` s vv ( r vv ~ s)`

B

` s ^^ r`

C

` s vv ~ r`

D

`s ^^ ( r ^^ ~ s)`

Text Solution

Verified by Experts

The correct Answer is:
B
` ~ { s vv ( ~ r ^^ s}`
` = ~ ( ~ s) ^^ ~ ( ~ r ^^ s)`
` s ^^ ( r vv ~ s)`
` ( s ^^ r) vv ( s ^^ ~ s) `
` ( s ^^ r) v phi `
` = s ^^ r`
Promotional Banner

Topper's Solved these Questions

  • MATHEMATICAL REASONING

    OBJECTIVE RD SHARMA ENGLISH|Exercise Solved MCQs|5 Videos

  • MATHEMATICAL REASONING

    OBJECTIVE RD SHARMA ENGLISH|Exercise Section II - Assertion Reason Type|3 Videos

  • MATHEMATICAL REASONING

    OBJECTIVE RD SHARMA ENGLISH|Exercise illusration 3|1 Videos

  • MATHEMATICAL INDUCTION

    OBJECTIVE RD SHARMA ENGLISH|Exercise Exercise|30 Videos

  • MAXIMA AND MINIMA

    OBJECTIVE RD SHARMA ENGLISH|Exercise Chapter Test|29 Videos

Similar Questions

Explore conceptually related problems

The negation of qvv(p^^r) is

The statement ~ p^^(rvvp) is - (1)equivalent to negation of pvvr (2) equivalent to ~p^^r (3) a tautology (4) a fallacy

The negation of A to (A vv ~ B) is

The negation of p ^^ (q rarr ~ r) is

The negation of (~p ^^ q) vv (p ^^ ~ q) is

Negation of disjunction of p and q is equivalent to the negation of both p and q . Verify

Consider the following relations: R = {(x, y) | x, y are real numbers and x = wy for some rational number w}; S={(m/n , p/q)"m , n , p and q are integers such that n ,q"!="0 and q m = p n"} . Then (1) neither R nor S is an equivalence relation (2) S is an equivalence relation but R is not an equivalence relation (3) R and S both are equivalence relations (4) R is an equivalence relation but S is not an equivalence relation

Consider the following relations: R = {(x, y) | x, y are real numbers and x = wy for some rational number w}; S={(m/n , p/q)"m , n , pandqa r ei n t e g e r ss u c ht h a tn ,q"!="0andq m = p n"} . Then (1) neither R nor S is an equivalence relation (2) S is an equivalence relation but R is not an equivalence relation (3) R and S both are equivalence relations (4) R is an equivalence relation but S is not an equivalence relation

The negation of p^^q is the disjunction of . . . . . . . . . . . . .

Find the negation of p∨(-p ∧ q)

OBJECTIVE RD SHARMA ENGLISH-MATHEMATICAL REASONING -Section I - Solved Mcqs
  1. The contrapositive of p to ( ~ q to ~ r) is

    Text Solution

    |

  2. The contrapositive of the statement "if 2^(2) =5 then I get first cla...

    Text Solution

    |

  3. If x = 5 and y = -2 , then x -2y =9, the contrapositive of this propos...

    Text Solution

    |

  4. The diagonals of a rhombus are perpendicular. The contrapositive of th...

    Text Solution

    |

  5. Which of the following is wrong?

    Text Solution

    |

  6. The symbolic form of logic of the circuit given below is : (RDSMATH...

    Text Solution

    |

  7. Which of the following statements is a tautology ?

    Text Solution

    |

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

    Text Solution

    |

  9. Let S be non-empty subset of R. consider the following statement: P:...

    Text Solution

    |

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

    Text Solution

    |

  11. The only statement among the following i.e. a tautology is

    Text Solution

    |

  12. Let p and q be two statements. Amongst the following , the statement t...

    Text Solution

    |

  13. The statement ~(pharr ~q) is

    Text Solution

    |

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

    Text Solution

    |

  15. The Bolean Expression ( p ^^ ~ q) vv q vv ( ~ p ^^ q vv ( ~ p ^^ q) ...

    Text Solution

    |

  16. Consider the following two statements: P : If 7 is an odd number, th...

    Text Solution

    |

  17. The negation of A to (A vv ~ B) is

    Text Solution

    |

  18. The following statement (p to q) to [(~p to q) to q] is

    Text Solution

    |

  19. Which of the following is a tautology ?

    Text Solution

    |

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

    Text Solution

    |