In which column will the number 1,000 fall?
The integers greater than one are arranged in five columns as follows:
Arrangement
(Four consecutive integers appear in each row; in the first, third and other odd numbered rows, the integers appear in the last four columns and increase from left to right; in the second, fourth and other even numbered rows, the integers appear in the first four columns and increase from right to left.)
In which column will the number 1,000 fall?
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1 solution
In every pair of two rows there are 8 numbers, so let's look at the remainder of 1 0 0 0 whem divided by 8 . This is 0 because 1 0 0 0 = 8 ⋅ 1 2 5 + 0 . If we search multiples of 8 we find 8 and 1 6 in the second column where we will also find 2018.