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Nabu's Knee-knockerNabu's Knee-knocker



In the World of Whole Numbers, a new rule has been enacted at school to try to reduce the talking.



For example,

10 can talk with 5, because 10 is a multiple of 5; and
5 can talk with 15, because 15 is a multiple of 5; but
10 cannot talk with 15 (directly), because 10 is not a multiple of 15 and 15 is not a multiple of 10.


Problem 1.    Try to find seven whole numbers that can talk in this way,



but when there is no red cord (connection) between two numbers (dots), the numbers cannot talk to each other.


Problem 2.    Try to find four whole numbers that can talk in this way,



but so that the diagonal numbers cannot talk (there is no red cord between them).


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solution to this problem.




















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Solution