Home
Class 14
MATHS
It is given that (2^(32)+1) is exactly d...

It is given that `(2^(32)+1)` is exactly divisible by a certain number. Which of the following is also definitely divisible by the same number? `2^(16)+1` (b) `2^(16)-1` (c) `7xx2^(33)` (d) `2^(96)+1`

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

Without actual division, find which of the following numbers is exactly divisible by 2, 3and 5?

2^16 -1 is divisible by

If 1A2B5 is exactly divisible by 9, then the least value of (A+B) is

If a number is divisible by 2 and 3, then it is also divisible by 6.

3^(2n )+7 is divisible by (A) 8 (B) 4 (C) 16

If 1 * 548 is divisible by 3, which of the following digits can replace? 0 (b) 2 (c) 7 (d) 9

RS AGGARWAL-NUMBER SYSTEM-All Questions
  1. When 2^(256) is divided by 17, the remainder would be 1 (b) 14 (c)...

    Text Solution

    |

  2. 7^(6n)-6^(6n), where n is an integer > 0, is divisible by 13 (b) 1...

    Text Solution

    |

  3. It is given that (2^(32)+1) is exactly divisible by a certain number. ...

    Text Solution

    |

  4. The number (2^(48)-1) is exactly divisible by two numbers between 60 ...

    Text Solution

    |

  5. n being any odd number greater than 1, n^(65)-n\ is always divisible ...

    Text Solution

    |

  6. Let N=55^3+17^3-72^3dot Then, N is divisible by both 7 and 13 (b) bot...

    Text Solution

    |

  7. Find the last two digits of N . 00 (b) 13 (c) 19 (d) 23

    Text Solution

    |

  8. Find the remainder when N is divided by 168. 33 (b) 67 (c) 129 (d) ...

    Text Solution

    |

  9. What is the remainder when 4^(61) is divided by 51? 20 (b) 41 (c) 5...

    Text Solution

    |

  10. What is the remainder when 17^(36) is divided by 36? 1 (b) 7 (c) 19...

    Text Solution

    |

  11. Common factor of (47^(43)+43^(43)) and (47^(47)+43^(47))

    Text Solution

    |

  12. Find the product of all odd natural numbers less than 5000. (a) (5000 ...

    Text Solution

    |

  13. How many zeros will be required to number the pages of a book conta...

    Text Solution

    |

  14. If a^2+b^2+c^2=1, what is the maximum value of abc? 1/3 (b) 1/(3sqrt(3...

    Text Solution

    |

  15. Find the unit’s digit in the sum of the fifth powers of the first 1...

    Text Solution

    |

  16. If the symbol [x] denotes the greatest integer less than or equal t...

    Text Solution

    |

  17. When 100^(25)-25 is written in decimal notation , the sum of its di...

    Text Solution

    |

  18. What is the number of digits in the number (1024)^4xx(125)^(11)? 35 ...

    Text Solution

    |

  19. Solve (0. 07xx0. 07xx0. 07-0. 05xx0. 05xx0. 05)/(0. 07xx0. 07+0. 07xx0...

    Text Solution

    |

  20. Which is not a prime number? (a) 13       (b) 19     (c) 21      (d...

    Text Solution

    |