Home
Class 10
MATHS
Show that any positive odd integer is...

Show that any positive odd integer is of the form `4q+1` or `4q+3` , where `q` is some integer.

Promotional Banner

Topper's Solved these Questions

  • QUADRATIC EQUATIONS

    RD SHARMA|Exercise All Questions|390 Videos

  • SOME APPLICATIONS OF TRIGONOMETRY

    RD SHARMA|Exercise All Questions|154 Videos

Similar Questions

Explore conceptually related problems

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

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

Show that any positive integer is of the from 3q or 3q+1 or 3q+2

Show that every positive even integer is of the form 2q, and that every positive odd integer is of the form 2q+1, where q is some integer.

Show that every positive even integer is of the form 2q, and that every positive odd integer is of the form 2q+1, where q is some integer.

Show that every positive even integer is of the form 2m and that every positive odd integer is of the form 2m+1 , where m is some integer.

Show that every positivee odd integer is the form ( 4q +1) , or ( 4q +3) for some interger q.

Show that the square of any positive integer is either of the form 4q or 4q + 1 form some integer q

Show that any positive odd integer of the form (4m +1) or ( 4m +3) for some integer m .

RD SHARMA-REAL NUMBERS-All Questions
  1. Show that every positive even integer is of the form 2q , and that ...

    Text Solution

    |

  2. Show that any positive integer is of the form 3q or, 3q+1 or, 3q+2 ...

    Text Solution

    |

  3. Show that any positive odd integer is of the form 4q+1 or 4q+3 , wh...

    Text Solution

    |

  4. Show that n^2-1 is divisible by 8, if n is an odd positive integer.

    Text Solution

    |

  5. Show that the square of any positive integer is of the form 3m or, ...

    Text Solution

    |

  6. Use Euclids division Lemma to show that the cube of any positive in...

    Text Solution

    |

  7. Prove that the product of two consecutive positive integers is divi...

    Text Solution

    |

  8. For any positive integer n , prove that n^3-n divisible by 6.

    Text Solution

    |

  9. Prove that if a positive integer is of the form 6q+5 , then it is o...

    Text Solution

    |

  10. Prove that the square of any positive integer of the form 5q+1 is o...

    Text Solution

    |

  11. Prove that the square of any positive integer is of the form 4q or ...

    Text Solution

    |

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

    Text Solution

    |

  13. A sweet seller has 420 kaju barfis and 130 badam barfis. She wants ...

    Text Solution

    |

  14. Any contingent of 616 members is to march behind an army band of 32...

    Text Solution

    |

  15. Find the largest number which divides 245 and 1029 leaving remainde...

    Text Solution

    |

  16. In a seminar. the number of participants in Hindi, English and Mathema...

    Text Solution

    |

  17. Define HCF of two positive integers and find the HCF of the followi...

    Text Solution

    |

  18. Define HCF of two positive integers and find the HCF of the followi...

    Text Solution

    |

  19. Define HCF of two positive integers and find the HCF of the followi...

    Text Solution

    |

  20. Define HCF of two positive integers and find the HCF of the followi...

    Text Solution

    |