Home
Class 14
MATHS
(2-1/3)(2-3/5)(2-5/7).......(2-997/999)=...

`(2-1/3)(2-3/5)(2-5/7).......(2-997/999)=?`

A

a) `(5)/(999)`

B

b) `(5)/(3)`

C

c) `(1001)/(999)`

D

d) `(1001)/(3)`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • SIMPLIFICATION

    KIRAN PUBLICATION|Exercise TYPE-III|17 Videos
  • SIMPLIFICATION

    KIRAN PUBLICATION|Exercise TYPE-IV|117 Videos
  • SIMPLIFICATION

    KIRAN PUBLICATION|Exercise TEST YOURSELF|25 Videos
  • SIMPLE INTERSET

    KIRAN PUBLICATION|Exercise TEST YOURSELF|25 Videos
  • STATISTICS AND DATA INTERPRETATION

    KIRAN PUBLICATION|Exercise TYPE-VIII|8 Videos

Similar Questions

Explore conceptually related problems

When simplified the product (2-(1)/(3) ) (2- (3)/(5) ) (2-(5)/(7)) ………… (2- (999)/(1001)) is equal to

(2-frac(1)(3))(2-frac(7)(5))(2-frac(997)(999)) is equal to

(1^(2))/(1.3)+(2^(2))/(3.5)+(3^(2))/(5.7)+.....+(n^(2))/ ((2n-1)(2n+1))=((n)(n+1))/((2(2n+1)))

Find the sum of the infinite series (1.3)/(2)+(3.5)/(2^(2))+(5.7)/(2^(3))+(7.9)/(2^(4))+......oo

"(5)/(-7)+2(1)/(3)+4(2)/(5)

Let a=(1^(2))/(1)+(2^(2))/(3)+(3^(2))/(5)+...+((1001)^(2))/(2001),b=(1^(2))/(3)+(2^(2))/(5)+(3^(2))/(7)+...+((1001)^(2))/(2003)

Let a=(1^(2))/(1)+(2^(2))/(3)+(3^(2))/(5)+....+((1001)^(2))/(2001),b=(1^(2))/(3)+(2^(2))/(5)+(3^(2))/(7)+....+((1001)^(2))/(2003) The closest of a-b is

KIRAN PUBLICATION-SIMPLIFICATION-TYPE-II
  1. root(3)(1 - 127/343) is equal to

    Text Solution

    |

  2. If root(3)(3^(n)) = 27, then the value of n is :

    Text Solution

    |

  3. (2-1/3)(2-3/5)(2-5/7).......(2-997/999)=?

    Text Solution

    |

  4. The value of (sqrt(4^(3) + 15^(2)))^(3) is :

    Text Solution

    |

  5. If the cube root of 79507 is 43, then the value of root(3)(79.507) + r...

    Text Solution

    |

  6. Find the cube root of (-13824).

    Text Solution

    |

  7. Find the value of root(3)(-13824).

    Text Solution

    |

  8. Sum of digits of the smallest number by which 1440 be multiplied so th...

    Text Solution

    |

  9. The sum of the digits of the smallest number which, when multiplied by...

    Text Solution

    |

  10. Which smallest number must be added to 710 so that the sum is a perfec...

    Text Solution

    |

  11. The least number, by which 1944 must be multiplied so as to make the r...

    Text Solution

    |

  12. The smallest natural number, by which 3000 must be divided to make the...

    Text Solution

    |

  13. The smallest positive integer n, for which 864n is a perfect cube, is ...

    Text Solution

    |

  14. The cube of 105 is

    Text Solution

    |

  15. The least number, that must be added to 1720 so as to obtain a perfect...

    Text Solution

    |

  16. By what least number should 4320 be multiplied so as to obtain a numbe...

    Text Solution

    |

  17. Which of the following is a perfect square as well as a cube ? 343, ...

    Text Solution

    |

  18. The square of a natural number subtracted from its cube is 48. The num...

    Text Solution

    |

  19. The least possible value of A for which 90 xx A is a perfect cube is

    Text Solution

    |

  20. If the square root of x is the cube root of y, then the relation betwe...

    Text Solution

    |