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If n is any positive integer, 3^(4n)-4^(...

If n is any positive integer, `3^(4n)-4^(3n)` is always divisible by 7 (b) 12 (c) 17 (d) 145

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RS AGGARWAL-NUMBER SYSTEM-All Questions
  1. Which one of the following is the number by which the product of 8 ...

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  2. Consider the following statements: For any positive integer n, the ...

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  3. If n is any positive integer, 3^(4n)-4^(3n) is always divisible by 7 ...

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  4. If the square of an odd natural number is divisible by 8, then the ...

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  5. The largest number that exactly divides each number of the sequence...

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  6. The difference of the squares of two consecutive even integers is d...

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  7. The difference of the squares of two consecutive odd integers is di...

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  8. The smallest 4-digit number exactly divisible by 7 is 1001    (...

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  9. What least number must be added to 1056 to get a number exactly div...

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  10. Which of the following numbers should be added to 8567 to make it e...

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  11. Find the least 6-digit number which is exactly divisible by 349. 10...

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  12. Which is the greatest 5-digit number exactly divisible by 279? 9960...

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  13. The least number, which must be added to the greatest 6-digit numbe...

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  14. The least number more than 5000 which is divisible by 73 is 5009  ...

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  15. The nearest integer to 58701 which is exactly divisible by 567 is ...

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  16. The smallest number which must be subtracted from 8112 to make it e...

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  17. The smallest number that must be added to 803642 in order to obtain...

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  18. The number of times 99 is subtracted from 1111 so that the remainde...

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  19. The smallest number by which 66 must be multiplied to make the resu...

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  20. The smallest 6-digit number exactly divisible by 111 is (a) 111111...

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