Home
Class 12
MATHS
A natural number x is chosen at random f...

A natural number `x` is chosen at random from the first one hundred natural numbers. The probability that `((x-20)(x-40))/((x-30))<0` is..... (A) `1/(50)` (B) `3/(50)` (C) `7/(25)` (D) `9/(50)` (E) `5/(50)`

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

Statement-1: A natural x is chosen at random from the first 100 natural numbers. The probability that ((x-10)(x-50))/(x-30) lt 0 is 0.28 Statement-2 : For any event A, 0 le P(A) le 1 .

A natural number is chosen at random from the first 100 natural numbers. The probability that x+(100)/x > 50 is 1//10 b. 11//50 c. 11//20 d. none of these

A natural number is chosen at random from the first 100 natural numbers. The probability that x+(100)/x > 50 is 1//10 b. 11//50 c. 11//20 d. none of these

Three numbers are chosen at random from the first 20 natural numbers. The probability that their product is even is

Three numbers are chosen at random from the first 20 natural numbers. The probability that they are not consecutive is

Three natural numbers are taken at random from the set of first 100 natural numbers. The probability that their A.M. is 25, is

If a number x is chosen at random from the number -2, -1, 0, 1, 2. What is the probability that x^(2)lt2 ?

If a number x is chosen at random from the numbers -2,\ -1,\ 0,\ 1,\ 2 . What is the probability that x^2<2 ?

Three distinct numbers are chosen at random from the first 15 natural numbers. The probability that the sum will be divisible by 3 is

Two number aa n db aer chosen at random from the set of first 30 natural numbers. Find the probability that a^2-b^2 is divisible by 3.

RESONANCE DPP ENGLISH-JEE MAINS-All Questions
  1. 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

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  16. if alpha, beta, gamma are the roots of equation x^3-x-1=0 , then (1+...

    Text Solution

    |

  17. Let f(x) be a non constant twice differentiable function defined on (-...

    Text Solution

    |

  18. The function f: R->R defined by f(x)=2^x+2^(|x|) is (a) one-one and on...

    Text Solution

    |

  19. Let set S consists of all points (x ,y) satisfying 9x^2+16 y^2lt=144. ...

    Text Solution

    |

  20. Let f: PvecQ defined by f(x)=4x-x^2 is a bijective function if P=[2...

    Text Solution

    |