Easier Alternatives to Tedious Tasks

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SUMMARY

The discussion focuses on identifying easier alternatives to tedious tasks involving card flipping based on mathematical principles. The cards that remain unturned after a series of flips are identified as prime numbers greater than 5 and specific multiples like 7 and 11. Additionally, the cards turned over exactly twice include even multiples of 3 that are not multiples of 4 or 5, as well as certain combinations of multiples of 2, 3, 4, and 5. The conclusion suggests that the answer to the problem posed may be 52.

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View attachment 6362 This seems really tedious, is there a better way than powering through/?
 

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Since the cards all started with the red side up, that would be the cards that are turned over an even number of time- 0, 2, or 4. Since we turn over every card that is a multiple of 2, then 3, then 4, then 5, the cards that are never turned over are those that are that are not multiples of any of those- 7, 11, 13, 17, 19, etc. That include all prime numbers larger than 5 but also those that are multiples of 7, 11, etc. I will let you work out how many there are.

The cards that are turned over exactly twice are those that are even and a multiple of 3 but not 4 or 5- 6, 18, etc. Of course any multiple of 4, other than those that are also multiples of 3 and/or 5. Also those that are multiples of 2 and 5 but not 3 and 4, as well as those that are multiples of 3 and 5 but not 2.
 
is the answer 52?
 
Last edited:

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