Home
Class 14
MATHS
A number of the form 10^(n) - 1 is alway...

A number of the form `10^(n)` - 1` is always divisible by 11 for every n is a natural number, when :

A

n is odd

B

n is prime

C

n is even

D

can't say

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • MENSURATION

    QUANTUM CAT|Exercise QUESTION BANK|449 Videos
  • PERCENTAGES

    QUANTUM CAT|Exercise QUESTION BANK|271 Videos

Similar Questions

Explore conceptually related problems

5^(n)-1 is always divisible by (n in N)

n ( n+1) ( n+2) is always divisible by ?

The number 10^(N) - 1 is divisible by 11 for :

The number 10^N-1 is divisible by 11 for :

Show that 10^(2n-1)+1 is divisible by 11 for all natural numbers n.

prove that 4^(n)-1 is divisible by 3, for each natural number n.

QUANTUM CAT-NUMBER SYSTEM-QUESTION BANK
  1. What is the largest possible two digit number by which 2179782 can be ...

    Text Solution

    |

  2. At least which number must be substracted from 9999999 so that it will...

    Text Solution

    |

  3. A number of the form 10^(n) - 1 is always divisible by 11 for every n ...

    Text Solution

    |

  4. Out of the following numbers which is divisible by 132?

    Text Solution

    |

  5. If 653xy is divisible by 80 then the value of x + y is :

    Text Solution

    |

  6. The value of k if k35624 is divisible by 11 :

    Text Solution

    |

  7. If 42573 k is divisible by 72 then the value of k is :

    Text Solution

    |

  8. How many numbers between 1 and 1000 are divisible by 5?

    Text Solution

    |

  9. How many numbers between 55 and 555 including both the extreme values ...

    Text Solution

    |

  10. How many numbers are there from 100 to 300 ?

    Text Solution

    |

  11. How many numbers are divisible by 3 in the set of numbers 300, 301, 30...

    Text Solution

    |

  12. How many numbers are there between 200 and 800 which are divisible by ...

    Text Solution

    |

  13. In the above question total numbers in the set of numbers S = {200, 20...

    Text Solution

    |

  14. How many numbers are there from 200 to 800 which are neither divisible...

    Text Solution

    |

  15. Total number of numbers lying in the range of 1331 and 3113 which are ...

    Text Solution

    |

  16. Atleast what number must be subtracted from 434079 so that is becomes ...

    Text Solution

    |

  17. Atleast what number must be subtracted from 434079 so that is becomes ...

    Text Solution

    |

  18. Which one numbers is closest to 195 which is divisible by 18 is :

    Text Solution

    |

  19. The product o two numbers ab7 and cd5 could be where ab7 and cd5 are i...

    Text Solution

    |

  20. When a 3 digit number 984 is added to another 3 digit number 4 p3, we ...

    Text Solution

    |