Home
Class 12
MATHS
~ [(~p) ^^q] is logically equivalent ...

` ~ [(~p) ^^q] ` is logically equivalent to

A

` p vee (~q)`

B

`p wedge (~q)`

C

~[p wedge (~q)]`

D

`~(p vee q)`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • COMMON ENTRANCE TEST - 2018

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|60 Videos
  • COMMON ENTRANCE TEST -2016

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|60 Videos

Similar Questions

Explore conceptually related problems

P ^^ (q ^^ r) is logically equivalent to

p harr q is logically equivalent to

The logically equivalent statement of ~(p ^^ ~q) is

Statement-1 : ~(p iff~q) is equivalent to p iffq Statement-2 : ~(p iff~q) is tautology.

(p^^~q)vv(~p^^q) is :

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

The logical equivalent proposition of p rArr q is

Let p be the statement ''x is an irrational number'', q be the statement'' y is a transcendental number'' and r be the statement'' x is a rational number iff y is a transcendental number.'' Statement-1 : r is equivalent to either q or p Statement-2 : r is equivalent to ~(p iff~q) .

HIMALAYA PUBLICATION-COMMON ENTRANCE TEST -2015-QUESTION BANK
  1. If |(2a,x(1),y(1)),(2b,x(2),y(2)),(2c,x(3),y(3))| = (abc)/2 != 0 , th...

    Text Solution

    |

  2. The shaded region shown in fig. is given by the inequation

    Text Solution

    |

  3. ~ [(~p) ^^q] is logically equivalent to

    Text Solution

    |

  4. The value of sin^(-1) ((2 sqrt2)/(3)) + sin^(-1) ((1)/(3)) is equal to

    Text Solution

    |

  5. If the ecentricity of the hyperbola (x^(2))/(a^(2)) -(y^(2))/(b^(2))=...

    Text Solution

    |

  6. If vec(a) = hat(i) + 2hat(j) +2hat(k) , |vec(b)| = 5 and the angle ...

    Text Solution

    |

  7. If vec(a)=i-2 j + 3k, vec(b) is a vector such that vec(a).vec(b)= |vec...

    Text Solution

    |

  8. If direction cosines of a vector of magnitude 3 are 2/3 , - 9/3 , 2/3...

    Text Solution

    |

  9. Equation of line passing through the point (2,3,1) and parallel to...

    Text Solution

    |

  10. Foot of perpendicular drawn from the origin to the plane 2x-3y +4z = ...

    Text Solution

    |

  11. If two dice are thrown simultaneously , then the probability that the ...

    Text Solution

    |

  12. If y = f(x^(2)) and f'(3) = 5 then (dy)/(dx) at x = 1 is

    Text Solution

    |

  13. If x= a cos^(3) theta, y= a sin^(3) theta, then 1 + ((dy)/(dx))^(2) is

    Text Solution

    |

  14. Slope of normal to the curve y = x^(2) - 1/(x^(2)) at (-1,0) is

    Text Solution

    |

  15. int 1/(x^(2)(x^(4)+1)^(3//4)) dx is equal to .

    Text Solution

    |

  16. If f : R to R is defined by f(x) = x/(x^(2)+1) find f(f(2)) .

    Text Solution

    |

  17. Evalute |(cos 15^(@) sin 15^(@)),(sin 75^(@) cos 75^(@))|

    Text Solution

    |

  18. A man takes a step forward with probability 0.4 and one step backward ...

    Text Solution

    |

  19. int(0)^(pi//4)log ((sin x +cos x )/(cosx))dx is equal to

    Text Solution

    |

  20. Area bounded by y = x^(3) ,y = 8 and x = 0 is .

    Text Solution

    |