Home
Class 11
MATHS
Find remainder when 7^(103) is divided b...

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

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

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

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

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

The remainder when 9^(103) is divided by 25 is equal to

The least (positive) remainder when 17^(30) is divided by 5 is

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.

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

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

A certain polynomial P(x)x in R when divided by x-a ,x-ba n dx-c leaves remainders a , b ,a n dc , resepectively. Then find remainder when P(x) is divided by (x-a)(x-b)(x-c)w h e r eab, c are distinct.

PATHFINDER-BINOMIAL THEOREM-QUESTION BANK
  1. Let R=(5 sqrt 5+11)^(2n+1) and f=R-[R] where [] is the greatest intege...

    Text Solution

    |

  2. Last three digit of 27^(27)

    Text Solution

    |

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

    Text Solution

    |

  4. If n in I^+ show 2^(3n+3) -7n -8 is divisible by 49.

    Text Solution

    |

  5. Find the coefficient of x^7 in (1+3x-2x^3)^10

    Text Solution

    |

  6. Find the coefficient of a^3b^4c^5 in (ab+bc+ca)^6

    Text Solution

    |

  7. Expand (x^2+(3/x))^4 , xne0

    Text Solution

    |

  8. Compute (98)^5

    Text Solution

    |

  9. Using binomial theorem prove that 6^n-5n always leaves remainder I whe...

    Text Solution

    |

  10. Find a, if 17th and 18th terms in the expansions of (2+a)^50 are equal...

    Text Solution

    |

  11. Find the coefficient of x^6y^3 in the expansion of (x+2y)^9

    Text Solution

    |

  12. Use the principle of mathematical induction to show that 5^(2+1)+3^(n+...

    Text Solution

    |

  13. Prove by mathematical induction that sum(r=0)^n "^nCr = n cdot 2^(n-1)

    Text Solution

    |

  14. For ninN, prove that ((n+1)/2)^ngt n!

    Text Solution

    |

  15. Using mathematical induction to show that p^(n+1) +(p+1)^(2n-1) is div...

    Text Solution

    |

  16. Prove by induction that the integer next greater than (3+sqrt5)6n is d...

    Text Solution

    |

  17. Using the principle of mathematical induction show that tan^(-1)(x/(1+...

    Text Solution

    |

  18. Prove by induction that (1+x1)(1+x2)(1+x3)…….(1+xn) ge 1+x1+x2+……+xn

    Text Solution

    |

  19. Use induction to prove that 3^(2n)-1 is not exactly divisible by 2^(n+...

    Text Solution

    |

  20. (x+sqrt(x^3-1))^5+(x-sqrt(x^3-1))^5 is a polynomial of degree

    Text Solution

    |