Home
Class 12
MATHS
[1/4]+[1/4+1/200]+[1/4+1/100]+.....[1/4+...

`[1/4]+[1/4+1/200]+[1/4+1/100]+.....[1/4+199/200]` is

Text Solution

Verified by Experts

The give expression can be written as
`[1/4]+[1/4+1/200]+[1/4+2/200]+[1/4+3/200]`
`+….+[1/4+199/200]`
`=[200.1/4]=[50]=50` [from property (xiv)]
Promotional Banner

Topper's Solved these Questions

  • THEORY OF EQUATIONS

    ARIHANT MATHS|Exercise Exercise For Session 1|11 Videos

  • THEORY OF EQUATIONS

    ARIHANT MATHS|Exercise Exercise For Session 2|10 Videos

  • THE STRAIGHT LINES

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|18 Videos

  • THREE DIMENSIONAL COORDINATE SYSTEM

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|44 Videos

Similar Questions

Explore conceptually related problems

Find the value of [3/4]+[3/4+1/100]+[3/4+2/100]+...+[3/4+99/100] .

If [x] denotes the integral part of x for real x, and S= [(1)/(4)]+[(1)/(4) +(1)/(200)]+[(1)/(4)+(1)/(100)] + [(1)/(4)+(3)/(200)] .....+ [(1)/(4)+ (199)/(200)] then S is

Consider that [] represents greatest integer function. Find the value of [(1)/(4)]+[(1)/(4)+(1)/(100)]+...+ [(1)/(4)+(99)/(100)] .

For a real number x,[x] denotes the integral part of x. The value of [(1)/(4)]+[(1)/(4)+(1)/(00)]+[(1)/(4)+(2)/(100)]+[(1)/(4)+(3)/(100)]+.........+[(1)/(4)+(99)/(100)]=

(1/3. 1/3. 1/3 + 1/4. 1/4. 1/4 - 3. 1/3. 1/4. 1/5 + 1/5. 1/5. 1/5)/(1/3. 1/3 + 1/4. 1/4 + 1/5. 1/5 - (1/3. 1/4 + 1/4. 1/5 + 1/5. 1/3)) is equal to

9 3/4-:[2 1/6 +{ 4 1/3-(1 1/2+1 3/4)}]

The value of 3 1/5 div 4 1/2 of 5 1/3+1/8 div 1/2 of 1/4-1/4(1/2 div 1/8xx1/4) is: 3 1/5 div 4 1/2 of 5 1/3+1/8 div 1/2 of 1/4-1/4(1/2 div 1/8xx1/4) का मान क्या होगा:

If A = [(2,2,1), (1,3,1), (1,2,2)] then A^-1+(A-5I) (AI)^2 = (i) 1/ 5 [[4,2, -1], [-1,3,1], [-1,2,4]] (ii) 1/5 [[4, -2, -1], [-1, 3, -1], [-1, -2,4]] (iii) 1/3 [[4,2, -1], [-1,3,1], [-1,2,4]] (iv) 1/3 [[4, -2, -1], [-1,3, -1], [-1, -2,4]]

ARIHANT MATHS-THEORY OF EQUATIONS-Exercise (Questions Asked In Previous 13 Years Exam)
  1. [1/4]+[1/4+1/200]+[1/4+1/100]+.....[1/4+199/200] is

    Text Solution

    |

  2. In the quadratic equation ax^2 + bx + c = 0. if delta = b^2-4ac and al...

    Text Solution

    |

  3. Let S denote the set of all polynomials P(x) of degree lt=2 such th...

    Text Solution

    |

  4. If the roots of x^2-b x+c=0 are two consecutive integers, then b^2-4c ...

    Text Solution

    |

  5. If the equation a(n)x^(n)+a(n-1)x^(n-1)+..+a(1)x=0, a(1)!=0, n ge2, ha...

    Text Solution

    |

  6. If both the roots of the quadratic equation x^2-2kx+k^2+k-5=0 are less...

    Text Solution

    |

  7. Let aa n db be the roots of the equation x^2-10 c x-11 d=0 and those o...

    Text Solution

    |

  8. Let a,b,c be the sides of a triangle. No two of them are equal and lam...

    Text Solution

    |

  9. All the values of m for whilch both the roots of the equation x^2-2m x...

    Text Solution

    |

  10. If the roots of the quadratic equation x^2+p x+q=0 are tan30^0a n dtan...

    Text Solution

    |

  11. Let alpha,beta be the roots of the equation x^2-p x+r=0 and alpha/2,2b...

    Text Solution

    |

  12. If the difference between the roots of the equation x^2+a x+1=0 is les...

    Text Solution

    |

  13. Let a, b, c, p, q be the real numbers. Suppose alpha,beta are the ...

    Text Solution

    |

  14. The quadratic equations x^2""6x""+""a""=""0""a n d""x^2""c x""+""6"...

    Text Solution

    |

  15. How many real solutions does the equation x^7+14 x^5+16 x^3+30 x-560=0...

    Text Solution

    |

  16. Suppose the cubic x^(3)-px+q has three distinct real roots, where pgt0...

    Text Solution

    |

  17. The smallest value of k, for which both the roots of the equation, x^2...

    Text Solution

    |

  18. If the roots of the equation b x^2+""c x""+""a""=""0 be imaginary, ...

    Text Solution

    |

  19. Q. Let p and q real number such that p!= 0,p^2!=q and p^2!=-q. if alph...

    Text Solution

    |

  20. Conder the function f(x)=1+2x+3x^2+4x^3 Let the sum of all distinct ...

    Text Solution

    |

  21. Let alpha and beta be the roots of x^2-6x-2=0 with alpha>beta if an=al...

    Text Solution

    |