Home
Class 10
MATHS
n^2 -1 is divisible by 8, if n is...

`n^2 -1` is divisible by 8, if n is

A

Prime numbers

B

Odd integer

C

Even integer

D

Natural number

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • PRACTICE QUESTION PAPER 12

    CPC CAMBRIDGE PUBLICATION|Exercise ANSWER THE FOLLOWING QUESTION|32 Videos
  • PRACTICE QUESTION PAPER

    CPC CAMBRIDGE PUBLICATION|Exercise QUESTIONS|29 Videos
  • PRACTICE QUESTION PAPER 13

    CPC CAMBRIDGE PUBLICATION|Exercise ANSWER THE FOLLOWING QUESTIONS|34 Videos

Similar Questions

Explore conceptually related problems

n^7-n is divisible by 42 .

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

If P(n): "''" 2^(2n)-1 is divisible by k for all n in N"''" is true, then the value of 'K' is

If P (n) : ''2^(2n)-1 is divisible by for all n in N'' is true , then the value of 'k' is

Using mathematical induction prove that n^(3)-7n+3 is divisible by 3, AA n in N

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

49^(n)+16 n-1 is divisible by

Prove that n^(2)-n is divisible by 2 for every positive integer n.

Prove that n + n is divisible by 2 for any positive integer n.

Prove the following by the principle of mathematical induction: \ x^(2n-1)+y^(2n-1) is divisible by x+y for all n in Ndot

CPC CAMBRIDGE PUBLICATION-PRACTICE QUESTION PAPER 12-ANSWER THE FOLLOWING QUESTION
  1. n^2 -1 is divisible by 8, if n is

    Text Solution

    |

  2. If the product of zeroes of polynomial f(y) =ay^3 - 6y^2 + 11y -6 is 4...

    Text Solution

    |

  3. What is the value of C, if ax^2 + bx +c =0 has equal roots ?

    Text Solution

    |

  4. Find the second term if sum of the 'n' tem of an AP is 2n^2 +1 .

    Text Solution

    |

  5. State converse of Pythagoras Theorem.

    Text Solution

    |

  6. What is the p/q (p,q in z , q ne 0) form of 0.5bar(7) ?

    Text Solution

    |

  7. If sin theta =1/3 , then find the value of (2cot^2 theta +2)

    Text Solution

    |

  8. In sin (A+B) =(sqrt(3))/(2) and cos (A-B)=1, 0 lt A +B lt 90^@ , A ge ...

    Text Solution

    |

  9. The surface area of a sphere is same as the C.S.A of a right circular ...

    Text Solution

    |

  10. Prove that if x and y are odd positive integers , then x^2 +y^2 is eve...

    Text Solution

    |

  11. Solve : 100x + 200 y =700 200x+100 y=800

    Text Solution

    |

  12. Find the roots of the quadratic equation 3x^2 -2sqrt6 x + 2 =0 by for...

    Text Solution

    |

  13. Find the value of x in which the points (1,-1) (x,1) and (4,5) are col...

    Text Solution

    |

  14. ABC is a right angle triangle having angleB=90^@ . If BD=DC, show tha...

    Text Solution

    |

  15. Prove that ara of the equilateral triangle described on the sides of s...

    Text Solution

    |

  16. A box contains 90 dices which are numbered from 1 to 90. If one dise i...

    Text Solution

    |

  17. Draw a pair of tangents to a circle of radius 5 cm which are inclined ...

    Text Solution

    |

  18. Prove that (tan theta + sin theta)/(tan theta - sin theta) =(sec theta...

    Text Solution

    |

  19. Asha is 5 times as old as her daughter Usha, 5 years later Asha will b...

    Text Solution

    |

  20. The sum of 2 digits of a 2 digits number is 12 the number obtained by ...

    Text Solution

    |

  21. Find the other two zeroes of the polynomial y^(4)+y^(3)-9y^(2)-3y+18 i...

    Text Solution

    |