Home
Class 12
MATHS
The number (101)^(100)-1 is divisible by...

The number `(101)^(100)-1` is divisible by

A

`10^(4)`

B

`10^(6)`

C

`10^(8)`

D

`10^(12)`

Text Solution

Verified by Experts

The correct Answer is:
A, B, C
Promotional Banner

Topper's Solved these Questions

  • MISCELLANEOUS EXAMPLES

    CHHAYA PUBLICATION|Exercise HS (XI) AND WBJEE 2019 (HS (XI) 2019) (GROUP -A)|10 Videos

  • MISCELLANEOUS EXAMPLES

    CHHAYA PUBLICATION|Exercise HS (XI) AND WBJEE 2019 (HS (XI) 2019) (GROUP -B)|14 Videos

  • MISCELLANEOUS EXAMPLES

    CHHAYA PUBLICATION|Exercise HS (XI) AND WBJEE 2018 (GROUP - D)|9 Videos

  • METHOD OF SUBSTITUTION

    CHHAYA PUBLICATION|Exercise Sample Questions for Competitive Examination (Assertion-Reason Type)|2 Videos

  • ORDER AND DEGREE OF DIFFERENTIAL EQUATION

    CHHAYA PUBLICATION|Exercise Sample Questions for Competitive Examination (E Assertion - Reasion Type )|2 Videos

Similar Questions

Explore conceptually related problems

Prove that the polynomial (x^(100)-a^(100)) is divisible by (x + a), but not divisible by (x - a).

Statement - I : For every natural number ((n+4)!)/((n+1)!) is divisible by 6. Statement - II : Product of three consective natural numbers is divisible by 3 !

Use binomial theorem to show that if nge1 is an integer then , (a) 11^(n)-10n-1 is divisible by 100 (b) 3^(2n)-8n-1 is divisible by 64.

When P is a natural number then p^(n+1)+(p+1)^(2n-1) is divisible by

If n is a natural number then (12 ^(n) + 25 ^(n-1)) is divisible by-

If (10^(2n-1)+1) is divisible by 11, then prove that (10^(2n+1)+1) is also divisible by 11.

If 10^m divides the number 101^(100)-1 then, find the greatest value of mdot

Is the polynomial (x^(101)+1) divisible by (x + 1) ? Give reasons in favour of your answer.

If n is a natural number, then (4^(n) -3n -1) is always divisible by-

If n is natural number & n ge 1, then (3^(2n) - 1) is always divisible by

CHHAYA PUBLICATION-MISCELLANEOUS EXAMPLES-WBJEE 2018
  1. The number of selection of n objects from 2n objects of which n are id...

    Text Solution

    |

  2. If (2lerlen), then ""^(n)C(r)+2.""^(n)C(r+1)+""^(n)C(r+2) is equal to

    Text Solution

    |

  3. The number (101)^(100)-1 is divisible by

    Text Solution

    |

  4. If n even positive integer, then the condition that the greatest term ...

    Text Solution

    |

  5. If sin6theta+sin4theta+sin2theta=0, then general value of theta is

    Text Solution

    |

  6. Without changing the direction of the axes, the origin is transferred ...

    Text Solution

    |

  7. The point Q is the image of the point P(1,5) about the line y=x and R ...

    Text Solution

    |

  8. The angular points of a triangle are A(-1,-7),B(5,1)andC(1,4). The equ...

    Text Solution

    |

  9. If one of the diameters of the circle, given by the equation x^(2)+y^(...

    Text Solution

    |

  10. A chord AB is drawn from the point A(0,3) on the circle x^(2)+4x+(y-3)...

    Text Solution

    |

  11. Let the eccentricity of the hyperbola (x^(2))/(a^(2))-(y^(2))/(b^(2))...

    Text Solution

    |

  12. Let A, B be two distinct points on the parabola y^(2)=4x. If the axis ...

    Text Solution

    |

  13. Let P(at^(2),2at),Q,R(ar^(2),2ar) be three points on a parabola y^(2)=...

    Text Solution

    |

  14. Let P be a point on the ellipse (x^(2))/(9)+(y^(2))/(4)=1 and the line...

    Text Solution

    |

  15. Let z(1)andz(2) be complex numbers such that z(1)nez(2)and|z(1)|=|z(2)...

    Text Solution

    |

  16. From a collection of 20 consecutive natural numbers, four are selected...

    Text Solution

    |

  17. A line cuts the x-axis at A(5,0) and the y-axis at B(0,-3). A variable...

    Text Solution

    |

  18. Let A be the centre of the circle x^(2)+y^(2)-2x-4y-20=0. Let B(1,7) a...

    Text Solution

    |

  19. Consider the parabola y^(2)=4x. Let P and Q be points on the parabola ...

    Text Solution

    |

  20. If the equation x^(2)-cx+d=0 has roots equal to the fourth powers of t...

    Text Solution

    |