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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 3. Dividing n by 5, the remainder is 1. What is the smallest possible value of N?

 Oct 3, 2020
 #1
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You don't understand the answer given under your first post? if so, why?

 Oct 3, 2020
 #2
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The smallest possible value of N is 1561.

 Oct 3, 2020
 #3
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NO!  THAT IS NOT TRUE !!!!  I gave you the answer of 1,256 because:

 

1256 mod 9 = 5

 

1256 mod 7 = 3

 

1256 mod 5 = 1

 

Your answer of 1561 DOES NOT balance the congruences, because:

1561 mod 9 =4 NOT 5

1561 mod 7 =0 NOT 3

1561 mod 5 = 1

Guest Oct 3, 2020
 #4
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So sorry, my answer was wrong. Great job!

 Oct 3, 2020

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