Home
Class 10
MATHS
Any positive odd integer a is of the for...

Any positive odd integer a is of the form ........ for some integer m.

A

4m+1 or 4m+2

B

4m+2 or 4m+3

C

4m+1 or 4m+3

D

4m or 4m+1

Text Solution

Verified by Experts

The correct Answer is:
4m +1 or 4m+3
Promotional Banner

Topper's Solved these Questions

  • REAL NUMBERS

    KUMAR PRAKASHAN|Exercise TEST YOUR SKILLS|26 Videos

  • REAL NUMBERS

    KUMAR PRAKASHAN|Exercise PRACTICE THOROUGHLY|11 Videos

  • QUESTION PAPER-2

    KUMAR PRAKASHAN|Exercise Section C|14 Videos

  • SOME AAPLICATIONS OF TRIGONOMETRY

    KUMAR PRAKASHAN|Exercise Objective Questions|24 Videos

Similar Questions

Explore conceptually related problems

Show that the square of any positive integer is of the form 4m or 4m + 1 for some integer m.

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.

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.

Show that the square of an odd positive c integer is of the form 6q + 1 or 6q + 3 for some integer q.

Show that the square of an odd positive integer is of the form 8m + 1, for some whole ? number m.

Show that the square of any positive integer is of the form 5 m or 5 m pm 1.

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

Show that the cube of any positive integer j is of the form 4m or 4m + 1 or 4m + 3 for some integer m.

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 every positive odd integer is of the form 4q + 1 or 4q + 3, where q is some integer.

KUMAR PRAKASHAN-REAL NUMBERS -OBJECTIVE QUESTIONS
  1. According to Euclid’s division lemma, for positive integer a and 5, if...

    Text Solution

    |

  2. The greatest four digit number that is divisible by 95 is ..........

    Text Solution

    |

  3. Any positive odd integer a is of the form ........ for some integer m.

    Text Solution

    |

  4. The LCM of the smallest prime number and the smallest composite number...

    Text Solution

    |

  5. For two positive integers a and b, if HCF (a, b) = 7 and LCM (a, b) = ...

    Text Solution

    |

  6. The prime factorisation of 98 is ...........

    Text Solution

    |

  7. From the given factor tree, the values of x and y are ......... respec...

    Text Solution

    |

  8. ......... is not an irrational number. √6 √5 √4 √3

    Text Solution

    |

  9. ......... is a rational number between sqrt(2) and sqrt(3) a. 4/5...

    Text Solution

    |

  10. If the HCF of 65 and 117. is expressible in the form 65m - 117, then t...

    Text Solution

    |

  11. The largest number which divides 70 and 125 leaving remainders 5 and 8...

    Text Solution

    |

  12. The decimal expansion of (27)/(2^(113)xx5^(110)) no terminates after ...

    Text Solution

    |

  13. Given positive integers a and b, there exists unique integers q and r ...

    Text Solution

    |

  14. What is the HCF of 65 and 117?

    Text Solution

    |

  15. What is the LCM of 36 and 100 ?

    Text Solution

    |

  16. After how many places of decimal does 751 the decimal expansion of (75...

    Text Solution

    |

  17. State the smallest positive integer which is divisible by 28 and 63 bo...

    Text Solution

    |

  18. The decimal expansion of 256/125 is non­terminating repeating.

    Text Solution

    |

  19. The HCF of 25 and 52 is 1

    Text Solution

    |

  20. The decimal expansion of (87)/(2^(5)5^(2)) terminates after ...... de...

    Text Solution

    |