Home
Class 12
MATHS
Consider that [] represents greatest int...

Consider that [] represents greatest integer function.
`[(3)/(5)] + [(3)/(5)+(1)/(10)] +[(3)/(5)+(2)/(10)]+...+[(3)/(5)+(9)/(10)]`.

Text Solution

Verified by Experts

`ubrace([(3)/(5)]+[(3)/(5)+(1)/(10)]+.....+[(3)/(5)+(3)/(10)])_("each equal to zero")+ubrace([(3)/(5)+(4)/(10)]+.......+[(3)/(5)+(9)/(10)])_("each equal to one")`
`= 1 xx 6 = 6`
Promotional Banner

Topper's Solved these Questions

  • RELATIONS AND FUNCTIONS

    AAKASH INSTITUTE ENGLISH|Exercise Assignment (Section - A) Objective Type Questions (one option is correct)|102 Videos

  • RELATIONS AND FUNCTIONS

    AAKASH INSTITUTE ENGLISH|Exercise Assignment (Section - B) Objective Type Questions (one option is correct)|86 Videos

  • RELATIONS AND FUNCTIONS

    AAKASH INSTITUTE ENGLISH|Exercise Assignment (Section - J) Aakash Challengers Questions|8 Videos

  • PROBABILITY

    AAKASH INSTITUTE ENGLISH|Exercise ASSIGNMENT SECTION-J (aakash challengers questions)|11 Videos

  • SEQUENCES AND SERIES

    AAKASH INSTITUTE ENGLISH|Exercise Assignment (SECTION - J) Aakash Challengers|11 Videos

Similar Questions

Explore conceptually related problems

Simplify : i. (1 (5)/(7) xx (7)/(10) ) - ((3)/(5) div (9)/(10))

Simplify : e. 5 (1)/(3) xx (3)/(8) - (7)/(9) div 2 (1)/(10)

int_(3)^(10)[log[x]]dx is equal to (where [.] represents the greatest integer function)

Order from least to greatest: " "((3)/(5))/((8)/(10))" "(0.00751)/(0.01)" "(200)/(3)xx10^(-2)

Express the following as improper fractions : (a) (7) 3/4 (b) (5) 6/7 (c) (2) 5/6 (d) (10) 3/5 (e) (9) 3/7 (f) (8) 9/4

Simplify : b. (5)/(9) div ((3)/(10) xx (5)/(12))

Find the greatest term in the expansion (2+3x)^(10), when x=3/5

The fraction equivalent to 1 2/3 is (a) (10)/3 (b) 3/5 (c) (10)/6 (d) 6/(10)

Evaluate : (i) ((2)/(-3)xx(5)/(4))+((5)/(9)xx(3)/(-10))

The smallest of the fractions 3/5,2/3,5/6,7/(10), is (a) 2/3 (b) 3/5 (c) 5/6 (d) 7/(10)

AAKASH INSTITUTE ENGLISH-RELATIONS AND FUNCTIONS -Try Yourself
  1. Find the domain and range of |x-3|.

    Text Solution

    |

  2. Find the domain and range of -|x-5|.

    Text Solution

    |

  3. Consider that [] represents greatest integer function. Find the valu...

    Text Solution

    |

  4. Consider that [] represents greatest integer function. [(3)/(5)] + [...

    Text Solution

    |

  5. Let f(x) = x^(3) + 5 and g(x) = 5x + 3 be two real functions. Find (f+...

    Text Solution

    |

  6. Let f(x) = 3x + 8 and g(x) = x^(2) be two real functions. Find (f+g) (...

    Text Solution

    |

  7. If f, g : R rarr R be defined respectively by f(x) = 3x + 2 and g(x) =...

    Text Solution

    |

  8. If f, g : R rarr R be defined respectively by f(x) = 8x + 7 and g(x) =...

    Text Solution

    |

  9. Let f(x) = x^(3) + 6x + 9 and g(x) = x+5 be two functions. Find (f+g) ...

    Text Solution

    |

  10. Let f(x) = x^(2) + 2x +5 and g(x) = x^(3) - 1 be two real functions. F...

    Text Solution

    |

  11. Show that the function f : R rarr R defined by f(x) = cos (5x+3) is ne...

    Text Solution

    |

  12. Let A be the set of all 50 students of class XII in a central school. ...

    Text Solution

    |

  13. If f: R->R be given by f(x)=s in^2x+s in^2(x+pi//3)+cosx\ cos(x+pi//3)...

    Text Solution

    |

  14. Let f: RvecR and g: Rvec be two functions such that fog(x)=sinx^2a n...

    Text Solution

    |

  15. If f : [0, oo) rarr [2, oo) be defined by f(x) = x^(2) + 2, AA xx in R...

    Text Solution

    |

  16. Let f: N->R be a function defined as f(x)=4x^2+12 x+15. Show that f: N...

    Text Solution

    |

  17. If ** be a binary operation on N (the setof natural numbers) defined b...

    Text Solution

    |

  18. Let A = {1, 2, 3}. Find the number of binary operations on A.

    Text Solution

    |

  19. If a ** b = 4a^(2) + 6b^(2) be a binary operations on Q, then verify t...

    Text Solution

    |

  20. Let A = N xx N and * be the binary operation on A defined by (a, b) * ...

    Text Solution

    |