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What is the smallest whole number that has a remainder of 1 when divided by 4, a remainder of 2 when divided by 3, and a remainder of 2 when divided by 5?

 Jun 4, 2022
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N mod 4 ==1

N mod 3 ==2

N mod 5 ==2

 

LCM[3, 4, 5]==60

 

N ==60m + 17, where m=0, 1, 2, 3.......etc.

When m=0,  N ==17 - which is the smallest whole number that satisfies the 3 congruences.

 Jun 4, 2022

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