Home
Class 14
MATHS
The greatest number by which the product...

The greatest number by which the product of three consecutive multiples of 3 is always divisible is 54      (b) 81      (c) 162      (d) 243

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • LOGARITHMS

    RS AGGARWAL|Exercise All Questions|105 Videos
  • ODD MAN OUT AND SERIES

    RS AGGARWAL|Exercise All Questions|81 Videos

Similar Questions

Explore conceptually related problems

The product of three consecutive natural number is always divisible by

The product of n consecutive natural numbers is always divisible by

The product of any three consecutive natural numbers is always divisible by 3 (b) 69quad (d) 15

RS AGGARWAL-NUMBER SYSTEM-All Questions
  1. The product of any three consecutive natural numbers is always divis...

    Text Solution

    |

  2. The sum of three consecutive odd numbers is always divisible by I....

    Text Solution

    |

  3. The greatest number by which the product of three consecutive multi...

    Text Solution

    |

  4. If p is a prime number greater than 3, then (p^2-1) is always divisibl...

    Text Solution

    |

  5. The difference between the squares of two consecutive odd integers ...

    Text Solution

    |

  6. A 4-digit number is formed by repeating a 2-digit number such as 25...

    Text Solution

    |

  7. A 6-digit number is formed by repeating a 3-digit number: for examp...

    Text Solution

    |

  8. The sum of the digits of a natural number (10^n-1) is 4707, where n is...

    Text Solution

    |

  9. (x^n-a^n) is divisible by (x-a) for all values of n (b) only for even...

    Text Solution

    |

  10. Which one of the following is the number by which the product of 8 ...

    Text Solution

    |

  11. Consider the following statements: For any positive integer n, the ...

    Text Solution

    |

  12. If n is any positive integer, 3^(4n)-4^(3n) is always divisible by 7 ...

    Text Solution

    |

  13. If the square of an odd natural number is divisible by 8, then the ...

    Text Solution

    |

  14. The largest number that exactly divides each number of the sequence...

    Text Solution

    |

  15. The difference of the squares of two consecutive even integers is d...

    Text Solution

    |

  16. The difference of the squares of two consecutive odd integers is di...

    Text Solution

    |

  17. The smallest 4-digit number exactly divisible by 7 is 1001    (...

    Text Solution

    |

  18. What least number must be added to 1056 to get a number exactly div...

    Text Solution

    |

  19. Which of the following numbers should be added to 8567 to make it e...

    Text Solution

    |

  20. Find the least 6-digit number which is exactly divisible by 349. 10...

    Text Solution

    |