Home
Class 10
MATHS
Use Euclid's division lemma to show that...

Use Euclid's division lemma to show that the cube of any positive integer is of the form 9m, 9m + 1 or 9m + 8.

Promotional Banner

Topper's Solved these Questions

  • REAL NUMBERS

    PSEB|Exercise EXERCISE |40 Videos

  • QUADRATIC EQUATIONS

    PSEB|Exercise EXERCISE |34 Videos

  • SOME APPLICATIONS OF TRIGONOMETRY

    PSEB|Exercise EXAMPLE|6 Videos

Similar Questions

Explore conceptually related problems

Use Euclid's division lemma to show that the square of any positive integer is either of the form 3m or 3m + 1 for some integer m.

For some integer m, every even integer is of the form:

Show that any positive odd integer is of the form 6q + 1 or 6q + 3 or 6q + 5, where q is some integer.

Find the factors of 3m^2 + 9m + 6 .

If n is any positive integer , show that 2^(3n +3) -7n - 8 is divisible by 49 .

State true or false,for any integers m, m^2,< m^3 ,why?

Find the ratio of: 9m to 27 cm

Show that the sum of the cubes of any number of consecutive integers is divisible by sum of those integers.

Show that 9^(n+1) -8n -9 is divisible by 64, whenever n is a positive integer.

PSEB-REAL NUMBERS -EXERCISE
  1. An army contingent of 616 members is to march behind an army band of 3...

    Text Solution

    |

  2. Use Euclid's division lemma to show that the square of any positive in...

    Text Solution

    |

  3. Use Euclid's division lemma to show that the cube of any positive inte...

    Text Solution

    |

  4. Express each number as a product of its prime factors : 140

    Text Solution

    |

  5. Express each number as a product of its prime factors : 156

    Text Solution

    |

  6. Express each number as a product of its prime factors: 3825

    Text Solution

    |

  7. Express each number as a product of its prime factors : 5005

    Text Solution

    |

  8. Express each number as a product of its prime factors : 7429

    Text Solution

    |

  9. Find the LCM and HCF of the following pairs of integers and verify tha...

    Text Solution

    |

  10. Find the LCM and HCF of the following pairs of integers and verify tha...

    Text Solution

    |

  11. Find the LCM and HCF of the following pairs of integers and verify tha...

    Text Solution

    |

  12. Find the LCM and HCF of the following integers by applying the prime f...

    Text Solution

    |

  13. Find the LCM and HCF of the following integers by applying the prime f...

    Text Solution

    |

  14. Find the LCM and HCF of the following integers by applying the prime f...

    Text Solution

    |

  15. Given that HCF (306, 657) = 9, find LCM (306, 657).

    Text Solution

    |

  16. Check whether 6^n can end with the digit 0 for any natural number n.

    Text Solution

    |

  17. Explain why 7 xx 11 xx 13 + 13 and 7 xx 6 xx 5 xx4xx3 xx 2 xx 1 + 5 ar...

    Text Solution

    |

  18. There is a circular path around a sports field. Sonia takes 18 minutes...

    Text Solution

    |

  19. Prove that sqrt5 irrational.

    Text Solution

    |

  20. Prove that 3+2 sqrt5 irrational.

    Text Solution

    |