Home
Class 12
MATHS
Consider the following statements. p : H...

Consider the following statements. `p :` Hari is clever. `q:` shyam is fool. `r:` Shyam is honest. The negation of statement Hari is clever & Shyam is dishonest if and only if shyam is fool is expressed. As.... (1) `~p^^(q⇔~ r)` (2) `~(q ⇔(p^^~r))` (3) `~ q ⇔(~ p^^r`) (4)`~(p^^~ r)` (5) `~(p^^r)`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • INVERSE TRIGONOMETRIC FUNCTIONS

    RESONANCE DPP ENGLISH|Exercise All Questions|15 Videos
  • MATRICES

    RESONANCE DPP ENGLISH|Exercise All Questions|7 Videos

Similar Questions

Explore conceptually related problems

Consider the following statements P: Suman is brilliant Q: Suman is rich R: Suman is honest The negation of the statement "Suman is brilliant and dishonest if and only if Suman is rich" can be expressed as

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

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

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

Which of the following is not equivalent to (p^^~ q)->r (a) ~(q v ~ p)->r (b) ~ r->(~ p v q) (c) ~((p^^(~ q))^^(~ r)) (d) ~ r->(~ p^^q)

Construct the truth table for the followings statements : (a) (p^^q) to ~ p " " (b) (p^^q) to (pvvq) (c) (p^^q) to r " " (d) [p^^(~r)] to (qvvr)

Let p, q and r be three statements, then (~p to q) to r is equivalent to

If p, q are r are three logical statements, then the truth value of the statement (p^^q)vv (~q rarr r) , where p is true, is

The logical statement [~(~pvvq)vv(p^^r)]^^(~q^^r) is equivalent to (a) (~p^^~q)^^r (b) ~p vv r (c) (p^^r)^^~q (d) (p^^~q)vvr

If the statements (p^^~r) to (qvvr) , q and r are all false, then p

RESONANCE DPP ENGLISH-JEE MAINS-All Questions
  1. The value of 'lambda' so that the system of equations x+2y+3=0 3x...

    Text Solution

    |

  2. The value of sum(r=0)^(20)r(20-r)(^(20)Cr)^2 is equal to 400^(39)C(20)...

    Text Solution

    |

  3. Consider the following statements. p : Hari is clever. q: shyam is foo...

    Text Solution

    |

  4. Show that the area of the triangle formed by the lines y=m1x+c1,""...

    Text Solution

    |

  5. The position vector of the vertices A, B & C of a tetrahedron ABCD ...

    Text Solution

    |

  6. If the lines (x+4)/3=(y+6)/5=(z-1)/(-2) and 3x-2y+z+5=0=2x+3y+4z-k are...

    Text Solution

    |

  7. Let f(x)=cot^(-1)(x^2+4x+alpha^2-3alpha) be a function defined on R->(...

    Text Solution

    |

  8. A natural number x is chosen at random from the first one hundred natu...

    Text Solution

    |

  9. If the functions f(x)a n dg(x) are defined on RvecR such that f(x)={0,...

    Text Solution

    |

  10. If the fourth term in the expansion of {sqrt(1/("""x^log(x+1)"}'+1/(x^...

    Text Solution

    |

  11. If H is the othrocenter of an acute angled triangle ABC whose circumci...

    Text Solution

    |

  12. Let vec a=2 hat i-3 hat j, vec b= hat i+ hat j- hat k and hat c=3 ha...

    Text Solution

    |

  13. The chord of contact of a point P w.r.t a hyperbola and its auxiliary ...

    Text Solution

    |

  14. Distance between line r=i+j+k+lambda(2i+j+4k) and plane rdot(i+2j-k)=3...

    Text Solution

    |

  15. An endless inextensible string of length 15 m passes around two pins, ...

    Text Solution

    |

  16. The direction cosines of the lines bisecting the angle between the lin...

    Text Solution

    |

  17. If f(x) is identity function, g(x) is absolute value function and h(...

    Text Solution

    |

  18. Consider two curves C1: y^2=4[sqrt(y)]x a n dC2: x^2=4[sqrt(x)]y , whe...

    Text Solution

    |

  19. In a DeltaABC if /A=/B=1/2(sin^(-1)((sqrt(6)+1)/(2sqrt(3)))+sin^(-1)(...

    Text Solution

    |

  20. The distance of the point (1, 2, 3) from the plane x+y-z=5 measured al...

    Text Solution

    |