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Author Topic: question.  (Read 1209 times)

Offline alan1572

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question.
« on: February 21, 2010, 06:39:39 PM »
soup                   pork       roast potatoes       apple pie
pate                   lamb       chips                    chocolate cake
mushrooms        fish          rice                      trifle
                         beef        pasta                    cheese and biscuits
                         chicken    jacket potatoes 
                                        mash
                                        noodles

if on day 1 soup was had with pork,roast potatoes and apple pie,
on day 2 each course is replaced with the next one on the list, how many days before the first meal is repeated?
is it the lowest number that 3 4 5 and 7 will go into?


     


Who wanted dry roasted with their pint?

Offline Alfonso_Frisk

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Re: question.
« Reply #1 on: February 21, 2010, 07:12:20 PM »
48 ?
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Offline hevans

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Re: question.
« Reply #2 on: February 21, 2010, 08:05:10 PM »
Yes.

The cycle will repeat when the number of meals is integrally divisible by 3, 4, 5 and 7. As these are primes, then it will be after 3x4x5x7 meals, or 420. Had it been 3 4 5 and 6, then it would repeat after 4x5x6 meals, as the starter would cycle for each dessert.

Offline Alfonso_Frisk

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Re: question.
« Reply #3 on: February 21, 2010, 08:24:43 PM »
I'll get me coat :legit:
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Offline Malcolm1938

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Re: question.
« Reply #4 on: February 21, 2010, 09:00:13 PM »
Now I'm being picky - The complete cycle does take 420 days so menu one will be repeated on day 421.
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Offline hevans

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Re: question.
« Reply #5 on: February 21, 2010, 09:15:29 PM »
Now I'm being picky - The complete cycle does take 420 days so menu one will be repeated on day 421.
Yup, I said "after" 420 meals ;).

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Offline alan1572

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Re: question.
« Reply #6 on: February 21, 2010, 09:20:50 PM »
i didn't think it thru, i had got 420, but 421 is the answer.. to be specific.
Who wanted dry roasted with their pint?

 

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