Home
Class 11
MATHS
Find the last three digits of (17)^256...

Find the last three digits of `(17)^256`

Promotional Banner

Topper's Solved these Questions

  • BASIC MATHEMATICS

    PATHFINDER|Exercise QUESTION BANK |266 Videos

  • BINOMIAL THEOREM AND PRINCIPLE OF MATHEMATICAL INDUCTION

    PATHFINDER|Exercise QUESTION BANK|68 Videos

Similar Questions

Explore conceptually related problems

Last three digit of 27^(27)

Find the last digit of 17^(256)dot

Find last three digits of the number 17^(256) .

Find the last two digits of the number (23)^(14)dot

Find the last two digits of the number 27^(27)dot

What is the last digit of 6^(100) .

In a machine,there is a password of five characters of which the first three letters and the last two are digits.How many passwords can be formed?

Find the sum of the five digit numbers formed by the digits 2, 3, 4, 5, 6 .

The number of different 6-digit numbers that can be formed using the three digits 0,1,2 is

Find the sum of all three-digit natural numbers, which are divisible by 7.

PATHFINDER-BINOMIAL THEOREM-QUESTION BANK
  1. The coefficient of x^4 in the expansion of (1+x+x^2+x^3)^11 is lamda ....

    Text Solution

    |

  2. The fractional part of the sum of all the rational terms in the expans...

    Text Solution

    |

  3. Find the last three digits of (17)^256

    Text Solution

    |

  4. Find the term independent of x in the expansion of [(t^(-1)-1)x+(t^(-1...

    Text Solution

    |

  5. If ak=1/(k(k+1)) for k=1 ,2……..,n then prove that (sum(k=1)^n ak)^2 =n...

    Text Solution

    |

  6. Find the unit digit in the number 17^(1995)+11^(1995)-7^(1995)

    Text Solution

    |

  7. If ((1+x)/(1-x))^n=1+a1x+a2x^2+…….+arx^r+…….. then prove that a1+a2+a3...

    Text Solution

    |

  8. Prove that ^nC0 "^(2n)Cn-^nC1 ^(2n-2)Cn +^nC2 ^(2n-4)Cn =2^n

    Text Solution

    |

  9. If (1+x)^n=a0+a1x+a2x^2+…….+anx^n then prove that (1+(a/a0))(1+(a2)/(a...

    Text Solution

    |

  10. Prove that the following identity about binomial coefficients ((n),(0)...

    Text Solution

    |

  11. The terms independent of x in (3/2(x^2)-1/(3x))^9 is

    Text Solution

    |

  12. The 10^(th) term in the expansion of (2x^2+1/x)^(12) is

    Text Solution

    |

  13. If the 6th term in the expansion of (1/x^(8//3)+x^2log(10)x)^8 is 5600...

    Text Solution

    |

  14. The coefficient of x^5 in the expansion of (x^2-x-2)^5 is

    Text Solution

    |

  15. The sum of series ,^20C0-^20C1+^20C2-^20C3+.....+ ^20C10 is

    Text Solution

    |

  16. ^8C2+^8C3+^8C4+....^8C7 is equal to

    Text Solution

    |

  17. .^18C15+2(.^18C16)+^17C16+1=^nC3, then n is equal to

    Text Solution

    |

  18. The value of 1^2cdotC1+3^2cdotC3+5^2cdotC5+......, is

    Text Solution

    |

  19. Let [x] denotes the greatest integer less then or equal to x. If x=(sq...

    Text Solution

    |

  20. The fractional part of =(2^(4n))/15 is

    Text Solution

    |