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)   (Show Source): You can put this solution on YOUR website!


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.

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