Question 696513: If a set of markers is placed in rows of 4 each, there are 2 markers left over, if in rows of 5 each, there are 3 left over, and if in the rows of 7 there are 5 left over. What is the smallest number of markers that the set could contain?
Answer by ankor@dixie-net.com(22740)   (Show Source):
You can put this solution on YOUR website! If a set of markers is placed in rows of 4 each, there are 2 markers left over,
if in rows of 5 each, there are 3 left over, and if in the rows of 7 there are 5 left over.
What is the smallest number of markers that the set could contain?
:
We know from the statement "if in rows of 5 each, there are 3 left over," that the last digit has to be an 8, and from the 1st statement, not evenly divisible by 4.
I came up with a minimum of 138 markers
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