Hi
welcome to my Logic Dictates Geocache
Here
are some of my favourite logic puzzles which you need to solve to
work out the coordinates for the cache. Many of these puzzles you
might have seen before, I take no credit for creating these
puzzles, though I have reworded most of them. My favourite one is the Car and
Haystacks what’s yours? Carefully think about your answers if
you are not familiar with any of the puzzles. I have included an
answer check. I decided to do this one after wasting several hours
on other puzzle caches in the area. This is my way at getting back
at you guys and gals!
Also I am happy to assist or verify any puzzle you might have.
After all I want the
cache to be found.
The cache is an easy find and has room for some swaps. Please spend
an extra few seconds resealing the logbook bag and putting the lid
on firmly. Thank you.
Head Bands
Three
intelligent men were captured by a hostile Zulu tribe. According to
tribe’s custom they had to pass an intelligence test, or die.
The chieftain showed 5 headbands – 2 blue and 3 red. The 3
men were blindfolded and positioned one after another, face to
back. The chief put a headband on each of their heads, hid two
remaining headbands, and removed their blindfolds. So the third man
could see the headbands on the two men in front of him, the second
man could see the headband on the first, and the first could not
see any headbands at all.
According to the rules any one of the three men could speak first
and try to guess his headband color.
And if he guessed correctly – they passed the test and could
go free, if not – they failed. It so happened that all 3
Palefaces were prominent logicians from a nearby academy. So after
a few moments of silence, the first man in the line said: "My
headband is ".
Blue A=1
Red A=2
Heads
On Death
Row
There
are 20 intelligent prisoners on death row with the execution date
set for tomorrow. The
king is a ruthless man who likes to toy with his people's miseries.
He says to the prisoners: “I’m gonna give you prisoners a chance to go free
tomorrow. You will all stand in a row (queue) before the
executioner and we will put a hat on your head, either a red or a
black one. Of course you will not be able to see the color of your own hat; you will only be able to see
the prisoners in front of you with their hats on; you will not be
allowed to look back or communicate together in any way (talking,
touching.....).
The prisoner in the back will be able to see the 19 prisoners in
front of him. The one in front of him will be able to see
18…
Starting with the last person in the row, the one who can see
everybody in front of him, he will be asked a simple question: WHAT
IS THE COLOR OF YOUR HAT?
He will be only allowed to answer “BLACK” or
“RED”. If he says anything else you will ALL be
executed immediately.
If he guesses the right color of the
hat on his head he is set free, otherwise he is put to death. And
we move on to the one in front of him and ask him the same question
and so on…
Well, good luck tomorrow, HA HA
HA HA
HA HA!”
Now since you all can communicate freely during the night, can you
find a way to guarantee the freedom of some prisoners tomorrow? How
many?
B = Number of prisoners that you can guarantee will be
free
Two
Kids
Tom and
Cath are a married couple. They have two kids, one of them is a girl. Assume safely that the
probability of each gender is 1/2.
What is the probability that the other kid is also a girl?
C= inverse of answer (e.g. if answer is 1/8 c=8)
Car and
the Haystacks (2 Haystacks and a Car)
You are on
a game show and there are three doors. The host tells you that
behind one of doors is a car and behind
the other two are haystacks. If you pick the car you win it. After
you have picked a door the host opens a different door with a
haystack behind it, he then gives you the chance to change the door
you picked. What should you do?
Keep the door you picked D=1
Swap the other door you didn’t pick D=2
Makes no difference if you swap or keep your door D=3
Maths
puzzle
Find the
lowest number that when you
When you divide it by 2, the remainder
is 1.
When you divide it by 3, the remainder is 2.
When you divide it by 4, the remainder is 3.
When you divide it by 5, the remainder is 4.
When you divide it by 6, the remainder is 5.
When you divide it by 7, the remainder is 6.
When you divide it by 8, the remainder is 7.
When you divide it by 9, the remainder is 8.
When you divide it by 10, the remainder is 9.
This can be solved using some simple maths – ask me for help
if you don’t know.
EFGH = Answer
War
Injuries
A group of
100 soldiers suffered the following injuries in a battle: 70
soldiers lost an eye, 75 lost an ear, 85 lost a leg, and 80 lost an
arm.
What is the minimum number of soldiers who must have lost all
4?
IJ=Answer
Mix
Liquids
Ancient
Chinese tradition involves the mixing of wine and vinegar before a
meal. At the table there is a large bottle of exactly 1 litre of
wine and 1 litre of vinegar. The host will poor exactly 50ml of
pure vinegar into the wine bottle and then poor 50ml of the now
contaminated wine back into the vinegar bottle. Ignoring the
chemical composition and assume the bottles were large
enough:
Is there more vinegar in the wine or more win in the vinegar?
More vinegar in Wine K=1
More Wine in vinegar K=2
Exactly the same K=3
Ok now
onto some Maths
S=D+E
T=D*K
U=A
V=G
W=C-I
X=J
YZ= A+B+F+G+H+J+K
The cache
is hidden at
S37 3S.TUV
E143 5W.XYZ