You have a sheet cake. There is a rectangular piece missing
from the inside of the sheet cake. The location of the
missing piece is arbitrary. I was told I could assume I had
the means to make the cuts. How do you divide the sheet
cake into 2 even proportions with 2 cuts?
On the shelf you have 10 identical bottles of identical
pills (let?s say there?s a hundred pills in each bottle).
However, one of those 10 bottles contains cheap knockoff
pills. The only way to differentiate fake pills from real
pills is the weight - while real pills weigh 1 g each, the
knockoff pills are only 0.9 g. You have one scale that
shows the exact weight (down to the mg) of whatever is
weighed.
How can you tell which bottle contains fake pills with just
1 weighing?
Replace each letter by a digit. Each letter must be
represented by the same digit and no beginning letter of a
word can be 0.
O N E
O N E
O N E
+ O N E
-------
T E N
Use trial and error. 0 =1, N = 8 ,E = 2, T = 7
1 8 2
1 8 2
1 8 2
+ 1 8 2
------
7 2 8
A man is on a search for Atlantis and comes upon an island
where all the inhabitants know whether Atlantis is still
around or not.
However, all of the inhabitants are either Fairies or Trolls
and they all use a spell to appear humanoid so you cannot
tell which is which. And the Faries always tell the truth
and the Trolls always lie, but there is a slight
complication, some of the Fairies have gone insane and
always lie and some of the Trolls have also gone insane and
always tell the truth.
So here is your task: you must ask the first inhabitant that
you come to ONE question and from that ONE question you must
determine wether Atlantis is still around or not.
What is the question that you must ask?
SkyFi city is served by 6 subway lines - A, E, I, O, U and Z.
? When it snows, morning service on line E is delayed.
? When it rains or snows, service on the lines A, U and Z is
delayed both morning and afternoon.
? When the temperature drops below 20 C, afternoon service
is cancelled on either line A or line O, but not both.
? When the temperature rises above 40 C, afternoon service
is cancelled on either line I or line Z, but not both.
? When service on line A is delayed or cancelled, service on
line I is also delayed.
? When service on line Z is delayed or cancelled, service on
line E is also delayed.
On February 10, it snows all day with the temperature at
18C. On how many lines service will be delayed or cancelled,
including both morning and afternoon?
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