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N is a four-digit positive integer. Dividing N by 9 , the remainder is 5. Dividing N by 7, the remainder is 5. Dividing N by 5, the remainder is 1. What is the smallest possible value of  N?

 Jun 5, 2022
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N mod 9 ==5

N mod 7 ==5

N mod 5 ==1

 

LCM(5, 7, 9)==315

 

N ==315m  +  131, where m==0, 1, 2, 3.........etc.

N==[3 x 315]  +  131 ==1,076 - is the smallest possible value of N

 Jun 5, 2022

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