Home
Class 14
MATHS
Find the largest number, which exactly d...

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.

A

6

B

24

C

12

D

48

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • MIXTURE

    GAGAN PRATAP |Exercise Questions|54 Videos

  • PARTNERSHIP

    GAGAN PRATAP |Exercise Multiple Choice Questions|41 Videos

Similar Questions

Explore conceptually related problems

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

A number of the form 8^(n) , where n is a natural number greater than 1, cannot be divisible by __________.

What would be the digit in the 10th place of 7^n where 'n' is a natural number greater than 1 ?

If a is a rational number,then prove that a^(n) will be a rational number,where n is a natural number greater than 1.

Find the unit digit of the expression 199^(2n)+144^(3n) , where n is a natural number.

GAGAN PRATAP -NUMBER SYSTEM-Multiple Choice Questions
  1. If x is the remainder when 3^61284 is divided by 5 and y is the remain...

    Text Solution

    |

  2. (10^(1)+10^(2)+10^(3)------+10^(100))/(6) find R.

    Text Solution

    |

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

    Text Solution

    |

  4. A number when divided successively by 4 and 5 leaves remainders 1 and ...

    Text Solution

    |

  5. A number divided by 13 leaves a remainder 1 and if the quotient, th...

    Text Solution

    |

  6. Which of the following cannot be the unit digit of a perfect square nu...

    Text Solution

    |

  7. What is the unit digit of the sum of first 111 whole numbers

    Text Solution

    |

  8. The digit in unit's place of the product 81 xx 82 xx 83 xx... xx 89 is

    Text Solution

    |

  9. If the unit digit of (433 xx 456 xx 43N) is (N + 2), then what is the ...

    Text Solution

    |

  10. What is the unit digit of (217)^(413)xx(819)^(547)xx(414)^(624)xx(342)...

    Text Solution

    |

  11. What is the digit in the unit's place of the number represented by 3^9...

    Text Solution

    |

  12. Let x= (633)^24- (277)^38+ (266)^54. what is the unit digit of x? मा...

    Text Solution

    |

  13. If x=(164)^169+ (333)^337- (727)^726, then what is the unit digit of x...

    Text Solution

    |

  14. The last digit of the expression 4 xx 9^2 xx 4^3 xx 9^4 xx 4^5 xx 9^...

    Text Solution

    |

  15. The number of factors of 3600 is: 3600 के कितने गुणनखंड है:

    Text Solution

    |

  16. If N=9^(9), then N is divisible by how many positive perfect cubes ?

    Text Solution

    |

  17. If N=3^(14)+3^(13)-12, then what is the largest prime factor of N ?

    Text Solution

    |

  18. The value of (1)/(1xx2)+(1)/(2xx3)+(1)/(3xx4)+..... +(1)/(99xx100) is

    Text Solution

    |

  19. What is the value of/का मान क्या है? 1/(3xx7)+1/(7xx11)+1/(11xx15)+......

    Text Solution

    |

  20. Find the value of the expression: (1/(2^2-1)+1/(4^2-1)+1/(6^2-1)........

    Text Solution

    |