Home
Class 11
MATHS
Find the remainder when 27^(40) is divid...

Find the remainder when `27^(40)` is divided by 12.

Promotional Banner

Topper's Solved these Questions

  • COMPLEX NUMBERS AND QUADRATIC EQUATIONS

    CENGAGE PUBLICATION|Exercise All Questions|877 Videos

Similar Questions

Explore conceptually related problems

Find the remainder when 7^(98) is divided by 5.

Remainder when 5^(40) is divided by 11.

Find the remainder when 5^(99) is divided by 13.

If f(x)=x^3-3x^2+2x+a is divisible by x-1, then find the remainder when f(x) is divided by x-2.

Let P(x)=x^4+a x^3+b x^2+c x+d be a polynomial such that P(1)=1,P(2)=8,P(3)=27 ,P(4)=64 then find the remainder when P(5) is divided by 5.

The remainder when 27^(10)+7^(51) is divided by 10

Find remainder when 7^(103) is divided by 25.

Find the remainder when x ^(3) +1 divided by (x +1)

Find the remainder when 2x^2+7x^2-x+8 is divided by x-1.

Find the remainder if number 2^(2003) is divided by 17.

CENGAGE PUBLICATION-BINOMIAL THEOREM-All Questions
  1. Find numerically the greatest term/terms in the expansion of (3-5x)^(1...

    Text Solution

    |

  2. Let n be an odd natural number greater than 1. Then , find the number...

    Text Solution

    |

  3. Find the remainder when 27^(40) is divided by 12.

    Text Solution

    |

  4. In the expansion of (1+x)^n , 7th and 8th terms are equal. Find the ...

    Text Solution

    |

  5. Find the sum sum(j=0)^n( ^(4n+1)Cj+^(4n+1)C(2n-j)) .

    Text Solution

    |

  6. Show that no three consecutive binomial coefficients can be in G.P.

    Text Solution

    |

  7. Find the sum sum(r=1)^n r^n (^nCr)/(^nC(r-1)) .

    Text Solution

    |

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

    Text Solution

    |

  9. If the 3rd, 4th. 5th and sixth term in the expansion of (x+alpha)^n ar...

    Text Solution

    |

  10. Find the remainder when 7^(98) is divided by 5.

    Text Solution

    |

  11. Show that 2^(4n+4)-15n-16, where n in N is divisible by 225.

    Text Solution

    |

  12. If (2+sqrt(3))^n=I+f, where I and n are positive integers and 0lt f lt...

    Text Solution

    |

  13. Find the degree of the polynomial 1/(sqrt(4x+1)){((1+sqrt(4x+1))/2)^7-...

    Text Solution

    |

  14. If 9^7+7^9 is divisible b 2^n , then find the greatest value of n ,w...

    Text Solution

    |

  15. Prove that sqrt(10)[(sqrt(10)+1)^(100)-(sqrt(10)-1)^(100)] is an even ...

    Text Solution

    |

  16. Find the remainder when x=5^(5^(5^(5...))) (24 times 5) is divided by ...

    Text Solution

    |

  17. Find the remainder when 1690^(2608)+2608^(1690) is divided by 7.

    Text Solution

    |

  18. Find the value of {3^(2003)//28}, w h e r e{dot} denotes the fractiona...

    Text Solution

    |

  19. Find the remainder when 5^(99) is divided by 13.

    Text Solution

    |

  20. Find remainder when 7^(103) is divided by 25.

    Text Solution

    |