Ten people land on a deserted island. There they find lots of
coconuts and a monkey. During their first day they gather lots of
coconuts and put them all in a community pile. After working all
day they decide to sleep and divide them into ten equal piles the
following morning.
That night one castaway wakes up hungry and decides to take his
share early. After dividing up the coconuts he finds he is one
coconut short of ten equal piles. He also notices the monkey
holding one more coconut. So he tries to take the monkey's coconut
to have a total evenly divisible by 10. However when he tries to
take it the monkey conks him on the head with it and kills him.
Later another castaway wakes up hungry and decides to take his
share early. On the way to the coconuts he finds the body of the
first castaway, which pleases him because he will now be entitled
to 1/9 of the total pile. After dividing them up into nine piles he
is again one coconut short and tries to take the monkey's slightly
bloodied coconut. The monkey conks the second man on the head and
kills him.
One by one each of the remaining castaways goes through the same
process, until the 10th person to wake up gets the entire pile for
himself.
What is the smallest number of possible coconuts in the pile,
not counting the monkeys?
Once you have the answer make the following calculations:
S 26 09.ABC and E 28 10.DEF where
ABC = Add 263 to the last three digits
DEF = Add 470 the the first three digits
The original contents of the cache were :
- Memory Card
- Crystal Bead
- Starfish
- Zebra
- Seal
- Squishy Hand
- Shell
- Tiger
- Sweety Cellphone
Please note that the cache is ONLY available from 7am till 7pm
every day of the week.