TWCP OTD (The Who Cares Puzzle Of The Day) - 14th of February, 2017
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EGG-PLAN My neighbour has a few chickens, gone crazy and laying down eggs like fire in the last few days. He wants to give away all the eggs, but he wants to give everyone the same amount - exactly... After some thinking we came up that he has to divide the eggs between seven families, otherwise he will left with one extra egg. How many eggs he giving away - at least?
Skipper: We'll fix it. Alex: Fix it? How you gonna fix this? Skipper: Grit, spit and a whole lotta duct tape.
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African or European chickens?
Alcohol. The cause of, and the solution to, all of life's problems - Homer Simpson
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EGG-PLAN My neighbour has a few chickens, gone crazy and laying down eggs like fire in the last few days. He wants to give away all the eggs, but he wants to give everyone the same amount - exactly... After some thinking we came up that he has to divide the eggs between seven families, otherwise he will left with one extra egg. How many eggs he giving away - at least?
Skipper: We'll fix it. Alex: Fix it? How you gonna fix this? Skipper: Grit, spit and a whole lotta duct tape.
If the number of recipients is greater than 1, then 301. 301 mod 2 = 1 301 mod 3 = 1 301 mod 4 = 1 301 mod 5 = 1 301 mod 6 = 1 301 mod 7 = 1
If you have an important point to make, don't try to be subtle or clever. Use a pile driver. Hit the point once. Then come back and hit it again. Then hit it a third time - a tremendous whack. --Winston Churchill
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If the number of recipients is greater than 1, then 301. 301 mod 2 = 1 301 mod 3 = 1 301 mod 4 = 1 301 mod 5 = 1 301 mod 6 = 1 301 mod 7 = 1
If you have an important point to make, don't try to be subtle or clever. Use a pile driver. Hit the point once. Then come back and hit it again. Then hit it a third time - a tremendous whack. --Winston Churchill
Daniel Pfeffer wrote:
301 mod 7 = 0 1
FTFY... Nothing like Copy-Paste :-)
Skipper: We'll fix it. Alex: Fix it? How you gonna fix this? Skipper: Grit, spit and a whole lotta duct tape.
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If the number of recipients is greater than 1, then 301. 301 mod 2 = 1 301 mod 3 = 1 301 mod 4 = 1 301 mod 5 = 1 301 mod 6 = 1 301 mod 7 = 1
If you have an important point to make, don't try to be subtle or clever. Use a pile driver. Hit the point once. Then come back and hit it again. Then hit it a third time - a tremendous whack. --Winston Churchill
:thumbsup: Perfect except
Quote:
301 mod 7 = 1
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Daniel Pfeffer wrote:
301 mod 7 = 0 1
FTFY... Nothing like Copy-Paste :-)
Skipper: We'll fix it. Alex: Fix it? How you gonna fix this? Skipper: Grit, spit and a whole lotta duct tape.
:sigh: :-O
If you have an important point to make, don't try to be subtle or clever. Use a pile driver. Hit the point once. Then come back and hit it again. Then hit it a third time - a tremendous whack. --Winston Churchill
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:thumbsup: Perfect except
Quote:
301 mod 7 = 1
Copy-paste strikes again... :sigh: :-O
If you have an important point to make, don't try to be subtle or clever. Use a pile driver. Hit the point once. Then come back and hit it again. Then hit it a third time - a tremendous whack. --Winston Churchill
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African or European chickens?
Alcohol. The cause of, and the solution to, all of life's problems - Homer Simpson
No, he said "eggs", not "coconuts". :laugh:
"These people looked deep within my soul and assigned me a number based on the order in which I joined." - Homer
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:confused: Do grilled chickens lay eggs? Perhaps they lay fried eggs... :)
If you have an important point to make, don't try to be subtle or clever. Use a pile driver. Hit the point once. Then come back and hit it again. Then hit it a third time - a tremendous whack. --Winston Churchill
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Daniel Pfeffer wrote:
301 mod 7 = 0 1
FTFY... Nothing like Copy-Paste :-)
Skipper: We'll fix it. Alex: Fix it? How you gonna fix this? Skipper: Grit, spit and a whole lotta duct tape.
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EGG-PLAN My neighbour has a few chickens, gone crazy and laying down eggs like fire in the last few days. He wants to give away all the eggs, but he wants to give everyone the same amount - exactly... After some thinking we came up that he has to divide the eggs between seven families, otherwise he will left with one extra egg. How many eggs he giving away - at least?
Skipper: We'll fix it. Alex: Fix it? How you gonna fix this? Skipper: Grit, spit and a whole lotta duct tape.
The result is the smallest multiple of 7 which satisfies the rule : This result minus one is also a multiple of 2,3,4,5 and 6. So a=(2*3*5*k)+1=n*7, with n and k integers >= 1, and k a product of 2, 3, and/or 5 only. In increasing possible values of k: k=2 : a=61, which is prime. k=2x2 : a=121 = 11x11. k=5 : a=151 which is prime. k=2x3 : a=181 which is prime. k=2x5 : a=301 = 7x43, n=43, and we have a winner.