Home
Class 12
MATHS
n^(2)-1 is divisible by 8, if n is...

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

A

a natural number

B

an integer

C

an even Integer

D

an odd Integer

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • SOLVED PAPER 2018

    ARIHANT PUBLICATION JHARKHAND|Exercise SECTION I : MATHEMATICS|49 Videos

  • STATISTICS

    ARIHANT PUBLICATION JHARKHAND|Exercise Exam Booster for Cracking Exam |25 Videos

Similar Questions

Explore conceptually related problems

n(n^(2)-1), is divisible by 24 if n is an odd positive number.

If n in N,x^(2n-1)+y^(2n-1) is divisible by x+y if n is

What would be the values of n for which n^(2)-1 is divisible by 8.

If n is an odd integer, then show that n^(2) - 1 is divisible by 8

prove that 3^(2n)-1 is divisible by 8, for all natural numbers n.

If n is an odd positive integer,show that (n^(2)-1) is divisible by 8.

n^(2)(n^(4)-1) is divisible by

ARIHANT PUBLICATION JHARKHAND-SOLVED PAPER 2019-SECTION I: MATHEMATICS
  1. If a,b,c are in AP and (a+b)/(2) = x , (b+c)/(2) = y , then the valu...

    Text Solution

    |

  2. Four coins are tossed. The chance of getting none of the face as head...

    Text Solution

    |

  3. n^(2)-1 is divisible by 8, if n is

    Text Solution

    |

  4. A cube of side 4 cm cut into small cubes of each side 1 cm. The ratio ...

    Text Solution

    |

  5. A 20 m deep well with diameter 7 m is dug and the earth from diggin...

    Text Solution

    |

  6. Find the median of the following observations: 46, 64, 87, 41, 58, ...

    Text Solution

    |

  7. If a line 3x - ky = 5 passes through (3, 2), then the value of 'K is

    Text Solution

    |

  8. The rationalizing factor of nsqrt(a/b) is

    Text Solution

    |

  9. Match the following .

    Text Solution

    |

  10. If m and n are the roots of the quadratic equation x^(2) + px + 8=0 wi...

    Text Solution

    |

  11. The sum of the numerator and the denominator of a fraction is equal to...

    Text Solution

    |

  12. Every person in a room , shake hands with every other person . The t...

    Text Solution

    |

  13. If x(x-2)= 1 , then the value of x^(2) + (1)/(x^(2)) is .

    Text Solution

    |

  14. The value of tan 7^(@) tan 23^(@) tan39^(@) tan 60^(@) tan 51^(@) tan ...

    Text Solution

    |

  15. If one root of the equation x^(2) + ax + b =0 is 1/3 times the other....

    Text Solution

    |

  16. The area of the triangle with vertices at the points (a,b+c),(b,c+a),(...

    Text Solution

    |

  17. If y = m + m^(2) + m^(3) + …….oo when |m| lt 1, then the value of...

    Text Solution

    |

  18. In the figure, a semicircle with centre O is drawn on AB= 8 cm. IF Del...

    Text Solution

    |

  19. The top of a partially broken tree touches the ground at a point 10 m ...

    Text Solution

    |

  20. If the quadratic equation 4 x^ 2 - (p-2)x+ 1 = 0 has equal roots, then...

    Text Solution

    |