A boat has a ladder with six rungs on it. The rungs are spaced one foot from each other, the lowest one starting a foot above the water. The tide rises with 10 inches every 15 minutes.
How many rungs will be still above the water 2 hours later?
SOLUTION
Six rings – the ship and the ladder will be rising with the tide.
Four friends are trying to cross a bridge in complete darkness, but have only one flashlight. They need respectively 1, 2, 7, and 10 minutes to cross the bridge, and if any three of them step on the bridge at the same time, it will collapse. How many minutes do they need at least in order for all of them to get to the other side?
SOLUTION
They need 17 minutes. Label the friends A (1min), B (2min), C (7min), D (10min). A and B cross the bridge, then A returns back with the flashlight. C and D cross the bridge, then B returns back with the flashlight. Finally, A and B cross the bridge.
In order to see that this is optimal, notice that when D crosses, he needs at least 10 minutes. If C crosses separately, this will make already 17 minutes in total. Therefore C and D must cross together, and A and B must be at that time on the two opposite sides of the bridge. From here it is easy to conclude that the friends indeed need at least 17 minutes.
Your grandma’s wall clock chimes the appropriate number of times at every whole hour, and also once every 15 minutes. If you hear the wall clock chime once, how much more time do you need to figure out what the time is, without looking at it?
SOLUTION
1 hour and 30 minutes. The wall clock will chime once at 12:15, 12:30, 12:45, 1:00, 1:15, 1:30, 1:45. If you hear 7 consecutive times just 1 chime, then the time is 1:45. If you hear less than that, you will easily find what the time is once again.
A man is found in a room without any windows, with just one door which is locked from the inside. The man is hanging from a ceiling fan, dead, 4 feet above the floor. The room is completely empty, except for the man, the fan, and a puddle of water on the floor. How did the man die?
SOLUTION
The man used a block of ice so that he could hang himself, and then the ice melted into the puddle of water.
Imagine the following game occurs on a cylindrical board, on which the a-file and h-file are attached to each other. White plays first and mates Black in 2 moves.
SOLUTION
White plays Rook on a5, then Ra1#. He can’t take the pawn on a6, because Black will take back with the pawn on h7.
This thing all things devours, Birds, beasts, trees, flowers, Gnaws iron, bites steel, Grinds hard stones to meal, Slays king, ruins town, And beats mountain down.
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