Too Many Marbles To Count
Suppose a machine places 123 000 809 marbles in a straight line. There are 8 marble colours that go in this pattern.
BLUE, CYAN, PURPLE, MAGENTA, RED, MAROON, BROWN, GREEN
Assuming that the machine perfectly puts marble colours in the correct way, what would the 123 000 809th marble colour be?
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1 solution
123 000 809 ÷ 8 = 15375101 remainder 1.
If the number divided by eight had a remainder of one, then blue will be the colour because nine, when divided by eight has a remainder of one and the ninth marble colour is blue and so on.
Therefore, the 123 000 809th colour is blue.