Home
Class 14
MATHS
If n is an integer, then (n^(3) - n) is ...

If n is an integer, then `(n^(3) - n)` is always divisible by :

A

4

B

5

C

6

D

7

Text Solution

Verified by Experts

The correct Answer is:
c
Promotional Banner

Topper's Solved these Questions

  • LCM & HCF

    MOTHERS|Exercise MULTIPLE CHOICE QUESTION|200 Videos
  • PARTNERSHIP

    MOTHERS|Exercise MULTIPLE CHOICE QUESTION |51 Videos

Similar Questions

Explore conceptually related problems

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

If n is any even number, then n(n^(2)+20) is always divisible by

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

If n is any positive integer,3^(4n)-4^(3n) is always divisible by 7 (b) 12 (c) 17 (d) 145

If n is an odd integer, then show that n^(2) - 1 is divisible by 8

If m=n^(2)-n , where n is an integer , then m^(2)-2m is divisible by

If n s any positive integer,then (3^(4n)-4^(3n)) is always divisible by:

MOTHERS-NUMBER SYSTEM-O
  1. 3 ^(41) + 7 ^(82) will be divisible by ? 10 ,26, 51, 7.

    Text Solution

    |

  2. A number when divided by 6 leaves remainder 3. When the square of the ...

    Text Solution

    |

  3. If n is an integer, then (n^(3) - n) is always divisible by :

    Text Solution

    |

  4. (10^n - 1) is always divisible by 11, if

    Text Solution

    |

  5. (49)^(15)-1 is exactly divisible by:

    Text Solution

    |

  6. If 9^6 -11 is divided by 8, the remainder is

    Text Solution

    |

  7. When 2^34 is divided by 9 , the remainder will be?

    Text Solution

    |

  8. When 5^507 is divided by 500, the remain- der will be?

    Text Solution

    |

  9. When number 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 is divided by 16, the ...

    Text Solution

    |

  10. When number 1 2 3 4 5 ................. (76 digits) is divided by 16, ...

    Text Solution

    |

  11. When number x^2 + 7x + 15 is divided by (x - 5), the remainder will be...

    Text Solution

    |

  12. When number x^40 + 31 is divided by x^4 + 1, the remainder will be?

    Text Solution

    |

  13. When 335 is added to 5A7, the result is 8B2, 8B2 is divisible by 3. Wh...

    Text Solution

    |

  14. If the sum of the digits of any integer lying between 100 and 1000 is ...

    Text Solution

    |

  15. When ( 43 xx 83) is divided by 21, the remainder obtained is ?

    Text Solution

    |

  16. The remainder of (130+147)/11 is?

    Text Solution

    |

  17. When 127 xx 139 xx 12653 xx 79 xx 18769 is divided by 5, the remainder...

    Text Solution

    |

  18. When 127 + 139 + 12653 + 79 +18769 is divided by 5, the remainder obta...

    Text Solution

    |

  19. When (1750 + 1748 + 1752 + 70 + 35) is divided by 5, the remainder obt...

    Text Solution

    |

  20. When is divided by 10, the remaindeer obtained is ?

    Text Solution

    |