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If n is an integer, then (n^(3) - n) is ...

If n is an integer, then `(n^(3) - n)` is always divisible by :

A

4

B

5

C

6

D

7

Text Solution

Verified by Experts

The correct Answer is:
C
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ADVANCED MATHS BY ABHINAY MATHS ENGLISH-NUMBER SYSTEM -MULTIPLE CHOICE QUESTIONS
  1. If a and b are two odd positive integers, by which of the following...

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  2. If m and n are +ve integers and ( m-n) is an even number , then (m^(...

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  3. If n is an integer, then (n^(3) - n) is always divisible by :

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  4. If n is a whole number greater than 1, then n^2(n^2-1) is always divis...

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  5. The largest number that exactly divides each number of the form n^3 - ...

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  6. Find the largest number, which exactly divides every number of the fro...

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  7. (4^(61)+4^(62)+4^(63)+4^(64)) is divisible by 3 (b) 11 (c) 13 (d) ...

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  8. (3^(25)+3^(26)+3^(27)+3^(28)) is divisible by 11 (b) 16 (c) 25 (d)...

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  9. Which one of the following will completely divide 5^(71) + 5^(72) + 5...

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  10. 2^16 -1 is divisible by

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  11. The expression 2^(6n) - 4^(2n), where n is a natural number is alway...

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  12. (4^(61) + 4^(62) + 4^(63)) is divisible by

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  13. The greatest common divisor of 3^(3^333) + 1and 3^(3^334) + 1 is :

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  14. The numbers of integers in between 100 and 600 which and divisible by ...

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  15. How many natural numbers divisible by 7 are there between 3 and 200?

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  16. The sum of all natural numbers between 100 and 200, which are multiple...

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  17. The sum of all the 3-digit numbers, each of which on division by 5 lea...

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  18. The total number of integers between 100 and 200, which are divisible ...

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  19. How many numbers between 1000 and 5000 are exactly divisible by 225 ?

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  20. If 5432*7 is divisible by 9, then the digit in place of * is

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