Home
Class 14
MATHS
The largest number that exactly divides ...

The largest number that exactly divides each number of the form `n^3 - n` , where n is a natural number , is :

A

12

B

6

C

3

D

2

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • NUMBER SYSTEM

    ADVANCED MATHS BY ABHINAY MATHS ENGLISH|Exercise MULTIPLE CHOICE QUESTIONS |225 Videos
  • MOCK TEST II

    ADVANCED MATHS BY ABHINAY MATHS ENGLISH|Exercise MCQ|100 Videos
  • PARTNERSHIP

    ADVANCED MATHS BY ABHINAY MATHS ENGLISH|Exercise Questions|26 Videos

Similar Questions

Explore conceptually related problems

Find the largest number, which exactly divides every number of the from (n^(3) - n) (n - 2) ' where n is a natural number greater than 2.

If n is a natural number,then

The largest number that exactly divides each number of the sequence 1^5-1, 2^5-2, 3^5-3, doth^5-n , ddot is 1 (b) 15 (c) 30 (d) 120

IF n is a natural number then sqrtn is

ADVANCED MATHS BY ABHINAY MATHS ENGLISH-NUMBER SYSTEM -MULTIPLE CHOICE QUESTIONS
  1. If n is an integer, then (n^(3) - n) is always divisible by :

    Text Solution

    |

  2. If n is a whole number greater than 1, then n^2(n^2-1) is always divis...

    Text Solution

    |

  3. The largest number that exactly divides each number of the form n^3 - ...

    Text Solution

    |

  4. Find the largest number, which exactly divides every number of the fro...

    Text Solution

    |

  5. (4^(61)+4^(62)+4^(63)+4^(64)) is divisible by 3 (b) 11 (c) 13 (d) ...

    Text Solution

    |

  6. (3^(25)+3^(26)+3^(27)+3^(28)) is divisible by 11 (b) 16 (c) 25 (d)...

    Text Solution

    |

  7. Which one of the following will completely divide 5^(71) + 5^(72) + 5...

    Text Solution

    |

  8. 2^16 -1 is divisible by

    Text Solution

    |

  9. The expression 2^(6n) - 4^(2n), where n is a natural number is alway...

    Text Solution

    |

  10. (4^(61) + 4^(62) + 4^(63)) is divisible by

    Text Solution

    |

  11. The greatest common divisor of 3^(3^333) + 1and 3^(3^334) + 1 is :

    Text Solution

    |

  12. The numbers of integers in between 100 and 600 which and divisible by ...

    Text Solution

    |

  13. How many natural numbers divisible by 7 are there between 3 and 200?

    Text Solution

    |

  14. The sum of all natural numbers between 100 and 200, which are multiple...

    Text Solution

    |

  15. The sum of all the 3-digit numbers, each of which on division by 5 lea...

    Text Solution

    |

  16. The total number of integers between 100 and 200, which are divisible ...

    Text Solution

    |

  17. How many numbers between 1000 and 5000 are exactly divisible by 225 ?

    Text Solution

    |

  18. If 5432*7 is divisible by 9, then the digit in place of * is

    Text Solution

    |

  19. If the number 4 8 3 0 7 * 8 is divisible by divisible by 11, then the ...

    Text Solution

    |

  20. Both the end digits of a 99 digit number N are 2. N is divisible by 11...

    Text Solution

    |