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For a certain positive integer n, n^2 gives a remainder of 4 when divided by 5, and n^3 gives a remainder of 2 when divided by 5. What remainder does n give when divided by 5?

 Dec 8, 2018
 #1
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The smallest positive n = 3

3 mod 5 = 3 - the remainder.

The general solution for n is:

n = 5m + 3,  where m =0, 1, 2, 3.....etc.

 Dec 8, 2018
 #2
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Answered here, too :

 

https://web2.0calc.com/questions/help-urgent_19

 

 

cool cool cool

 Dec 8, 2018

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