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Australian AMC 2015 - Junior Question 29

AMC AUSTRALIA · Australian AMC 2015 - Junior

Question 29

Zoltan has a list of whole numbers, all larger than 0 but smaller than 1000. He notices that every number in his list is either one-third of another number in the list or three times another number in the list. What is the largest number of different whole numbers that can be on Zoltan’s list?