Home
Class 14
MATHS
A 99-digit number is formed by writing t...

A `99-digit` number is formed by writing the first 59 natural numbers one after the other as: `1234567891011121314...5859.` Find the remainder obtained when the above number is divided by 16.

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • LOGARITHMS

    RS AGGARWAL|Exercise All Questions|105 Videos
  • ODD MAN OUT AND SERIES

    RS AGGARWAL|Exercise All Questions|81 Videos

Similar Questions

Explore conceptually related problems

Find the remainder when first 1000 digits of the number P are divided by 16?

A number leaves a remainder of 61 when divided by 136. Find the remainder when the number is divided by 34

The first 23 natural numbers are written in increasing order beside each other to form a single number. What is the remainder when this number is divided by 18?

The number N when divided by 16 gives the remainder 5__________________ is the remainder when the same number is divided by 8.

A number when divided by 16 leaves remainder 8. What is the remainder when the same number is divided by 8?

RS AGGARWAL-NUMBER SYSTEM-All Questions
  1. Find the remainder when (257^(166)-243^(166)) is divided by 500.

    Text Solution

    |

  2. Find a common factor of (127^(127)+97^(127))a n d\ (127^(97)+97^(97))d...

    Text Solution

    |

  3. A 99-digit number is formed by writing the first 59 natural numbers on...

    Text Solution

    |

  4. What is the place value of 5 in 3254710? 5         (b)    10000   (...

    Text Solution

    |

  5. The face value of 8 in the number 458926 is 8            (b)   100...

    Text Solution

    |

  6. The sum of the place values of 3 in the number 503535 is 6       (...

    Text Solution

    |

  7. The difference between the place values of 7 and 3 in the number 52...

    Text Solution

    |

  8. The difference between the local value and the face value of 7 in t...

    Text Solution

    |

  9. The sum of the greatest and smallest number of five digits is (a)...

    Text Solution

    |

  10. If the largest three-digit number is subtracted from the smallest f...

    Text Solution

    |

  11. The smallest number of 5 digits beginning with 3 and ending with 5 ...

    Text Solution

    |

  12. What is the minimum number of four digits formed by using the digit...

    Text Solution

    |

  13. All natural numbers and 0 are called the …… numbers. rational    (b...

    Text Solution

    |

  14. Consider the following statements about natural numbers: There exis...

    Text Solution

    |

  15. Every rational number is also an integer                    (b)  a...

    Text Solution

    |

  16. The number pi is a fraction (b) a recurring decimal a rational numbe...

    Text Solution

    |

  17. sqrt(2)\ i s\ a//a n rational number (b) natural number irrational nu...

    Text Solution

    |

  18. The number sqrt(3)\ i s a finite decimal (b) an infinite recurring...

    Text Solution

    |

  19. There are just two ways in which 5 may be expressed as the sum of t...

    Text Solution

    |

  20. P\ a n d\ Q are two positive integers such that P Q\ =\ 64 . Which of ...

    Text Solution

    |