Home
Class 14
MATHS
Find the remainder when 2^(2) + 22^(2) +...

Find the remainder when `2^(2) + 22^(2) + 222^(2) + …… + (222…… 49 times)^(2)` is divided by 9.

A

2

B

5

C

6

D

7

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • NUMBER SYSTEM

    DISHA PUBLICATION|Exercise Expert Level |32 Videos
  • NUMBER SYSTEM

    DISHA PUBLICATION|Exercise Test Yourself|15 Videos
  • NUMBER SYSTEM

    DISHA PUBLICATION|Exercise Practice Exercise (Foundation Level)|65 Videos
  • MOCK TEST 2

    DISHA PUBLICATION|Exercise Multiple Choice Questions|20 Videos
  • PERCENTAGES

    DISHA PUBLICATION|Exercise PRACTICE EXERCISE (TEST YOURSELF)|15 Videos

Similar Questions

Explore conceptually related problems

Find the remainder when (2)^(111) is divided by 9.

Find the remainder when x^(5) is divided by x^(2)-9 .

Find the remainder when (2)^(51) is divided by 5.

Find the remainder when (2)^(51) is divided by 5.

Find the remainder when x^(15) is divided by x -2

Find the remainder when 923^(888) + 235^(222) is divided by 4.

Find the remainder when x^(45), is divided by x^(2)-1

Find the remainder when (2)^(5555) is divided by 13.

DISHA PUBLICATION-NUMBER SYSTEM-Standard Level
  1. In the figure, number in any cell is obtained by adding two numbers in...

    Text Solution

    |

  2. A natural number when increased by 50% has its number of factors uncha...

    Text Solution

    |

  3. Let x denote the greatest 4-digit number which when divided by 6, 7, 8...

    Text Solution

    |

  4. (x-1)(x-2)(x-3)=6y How many integer solutions exist for the given eq...

    Text Solution

    |

  5. A is the set of the first 100 natural numbers. What is the minimum num...

    Text Solution

    |

  6. The power of 45 that will exactly divides 123! Is

    Text Solution

    |

  7. What is the remainder when 32^(32^(32)) is divided by 7 ?

    Text Solution

    |

  8. Two different two-digit natural numbers are written beside each other ...

    Text Solution

    |

  9. In a three-digit number, the unit digit is twice the tens digit and th...

    Text Solution

    |

  10. If (45)/(53)= frac(1)(a+frac(1)(b+frac(1)(c-frac(2)(5)))) Where a,b an...

    Text Solution

    |

  11. If m and n are positive integers such that (m-n)^(2)=(4mn)/((m+n-1)), ...

    Text Solution

    |

  12. Simplification:- 5 * ? = 8042/4

    Text Solution

    |

  13. The number of zeros at end of the product of 222^(111) xx 35^(53) + ...

    Text Solution

    |

  14. The highest power of 17 which can divide exactly the following express...

    Text Solution

    |

  15. Find the remainder when 2^(2) + 22^(2) + 222^(2) + …… + (222…… 49 time...

    Text Solution

    |

  16. Find the last non-zero digit of 96!.

    Text Solution

    |

  17. When 96 is added to a N^(2), it gives another perfect square. If N is ...

    Text Solution

    |

  18. The numbers 1 to 29 are written side by side as follows 1234567891011…...

    Text Solution

    |

  19. The remainder when the number 123456789101112…. 484950 is divisible by...

    Text Solution

    |

  20. How many zeros will be there at the end of the expression (2!)^(2!)+...

    Text Solution

    |