SOLUTION: The positive integers greater than 3 are arranged in rows and columns as illustrated. In which column is the number 5018? A) 2 B) 4 C) 6 D) 5 E) 3 https://ibb.co/G5y6tR3

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Question 1171707: The positive integers greater than 3 are arranged in rows and columns as illustrated.
In which column is the number 5018?
A) 2
B) 4
C) 6
D) 5
E) 3
https://ibb.co/G5y6tR3
Answer by math_helper(2461) About Me  (Show Source):
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If you look at the first two rows of the table, and replace each entry with its current value mod 12 (the remainder when divided by 12) you will get:



        1    2    3    4    5     6    7

        ---------------------------------

        4    5    6    7    8     9

             3    2    1    0     11   10





Now 5018 mod 12 = 2  so  5018 lands under column 3.    



To compute modulo 12 on a calculator (assuming it does not have a 'mod' button), divide 5018 by 12 as normal, then subtract the whole number portion from the result.  Multiply the decimal portion (which is the remainder) by 12 to get an integer.