Home
Class 10
MATHS
Prove that one and only out of n,(n+2) a...

Prove that one and only out of n,(n+2) and (n+4) is divisible by 3, where n is any positive integer.

Promotional Banner

Topper's Solved these Questions

  • REAL NUMBERS

    NAGEEN PRAKASHAN ENGLISH|Exercise Exercise 1b|16 Videos

  • REAL NUMBERS

    NAGEEN PRAKASHAN ENGLISH|Exercise Exercise 1c|12 Videos

  • REAL NUMBERS

    NAGEEN PRAKASHAN ENGLISH|Exercise Problems From NCERT/ Exemplar|11 Videos

  • QUADRATIC EQUATIONS

    NAGEEN PRAKASHAN ENGLISH|Exercise Revision Exercise Long Answer Questions|6 Videos

  • SOME APPLICATIONS OF TRIGONOMETRY

    NAGEEN PRAKASHAN ENGLISH|Exercise Long Answer Questions|5 Videos

Similar Questions

Explore conceptually related problems

Show that one and only one out of n,( n+2) and ( n +4) is divisble by 3, where n is any positive interger.

Show that one and only one out of n ,n+2 or n+4 is divisible by 3, where n is any positive integer.

Show that one and only one out of n ,n+2or ,n+4 is divisible by 3, where n is any positive integer.

Show that 7^(n) +5 is divisible by 6, where n is a positive integer

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

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

(-i)^(4n+3) , where n Is a positive integer.

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

The statement : x^(n)-y^(n) is divisible by (x-y) where n is a positive integer is

Prove that for any natural numbers n, 7^(n)-2^(n) is divisible by 5.

NAGEEN PRAKASHAN ENGLISH-REAL NUMBERS-Exercise1 A
  1. Show that any positive odd integer is of the form 4q+1 or 4q+3 , wh...

    Text Solution

    |

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

    Text Solution

    |

  3. Show that every even positive integer is of the form 6q or 6q + 2 or...

    Text Solution

    |

  4. Prove that every positive integer different from 1 can be expressed as...

    Text Solution

    |

  5. Show that the square of any positive integer is either of the form 4q ...

    Text Solution

    |

  6. Show that the square of any positive integer cannot be of the form 5q+...

    Text Solution

    |

  7. Prove that one and only out of n,(n+2) and (n+4) is divisible by 3, wh...

    Text Solution

    |

  8. There are 576 boys and 448 girls in a school that are to be divided in...

    Text Solution

    |

  9. The length, breadth and height of a room are 8m and 25cm, 6m and 75cm ...

    Text Solution

    |

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

    Text Solution

    |

  11. about to only mathematics

    Text Solution

    |

  12. In a group there are 21 childrens, 35 ladies and 49 gents. They all wa...

    Text Solution

    |

  13. Three sets of English, Hindi and Mathematics books have to be stack...

    Text Solution

    |

  14. Find the HCF of 81 and 237 and express it as a linear combination of 8...

    Text Solution

    |

  15. Find the polynomials u(x) and v(x) such that (x^(4) -1) * u(x) + (x^(...

    Text Solution

    |

  16. Six bells commence tolling together and toll at interval of 2, 4 , 6, ...

    Text Solution

    |

  17. Find the greatest number of 4 digits which is exactly divisible by 15 ...

    Text Solution

    |

  18. A number when divided by 143 leaves 31 as remainder. What will be the ...

    Text Solution

    |

  19. p and q are two positive integers such that the least prime factor of ...

    Text Solution

    |

  20. Express each of the following as a product of prime factors: (i) 96 ...

    Text Solution

    |