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7^(6n)-6^(6n), where n is an integer > 0...

`7^(6n)-6^(6n),` where n is an integer > 0, is divisible by 13 (b) 127 (c) 559 (d) All of these

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RS AGGARWAL-NUMBER SYSTEM-All Questions
  1. The remainder when (15^(23)+23^(23)) is divided by 19, is 0 (b) 4 ...

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  2. When 2^(256) is divided by 17, the remainder would be 1 (b) 14 (c)...

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  3. 7^(6n)-6^(6n), where n is an integer > 0, is divisible by 13 (b) 1...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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