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

Question

2 years ago

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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?

Mathematics

1 answer:

timama [110] · Answer 1 · 2023-04-04T14:43:47+03:00

The largest number of different whole numbers that can be on Zoltan's list is 999

<h3>How to determine the largest number?</h3>

The condition is given as:

Number = 1/3 of another number

Or

Number = 3 times another number

This means that the list consists of multiples of 3

The largest multiple of 3 less than 1000 is 999

Hence, the largest number of different whole numbers that can be on Zoltan's list is 999