Puzzle 193
Recently Kevin had a party and because it was his birthday he wanted a mathematical cake!
He ordered a cake in the shape of a cube and had it completely iced (but of course the shop didn't ice the underneath because that just isn't very sensible).
He cut every side of the cake into three equal pieces, giving 27 slices of cake.
He ended up eating all of the pieces of cake that had exactly 2 sides with icing.
So, how many pieces did that leave for the guests?
Puzzle 194
A large freshwater reservoir has two types of drainage system. Small pipes and large pipes.
6 large pipes, on their own, can drain the reservoir in 12 hours.
6 small pipes, on their own, can drain the reservoir in 18 hours.
How long will 6 large pipes and 6 small pipes take to drain the reservoir?
Puzzle 195
A woman had three old coins: a silver dollar, a quarter, and a dime. Each coin was a little battered and had a piece missing. She found that exactly the same fraction had broken away from each coin.
What fraction of each was missing if the value of the remaining bits of coins was now exactly one dollar in total?
For this puzzle it can be assumed that 1/2 a coin is worth 1/2 of its value.
Based on a puzzle by Henry Ernest Dudeney.
Puzzle 196
Below is a map of the BrainBashers detention facility.
There are 9 guards, A to I, who are in charge of a particular number of cells.
The guards only guard cells that they can see in a continuous straight line, either horizontally or vertically, and each cell is only protected by one guard.
The numbers represent how many cells each guard is in charge of, they are of course in charge of the cell they are currently in.
Can you work out which guards are in charge of which cells?
| A-7 | B-7 | |||||
| C-5 | ||||||
| D-1 | ||||||
| E-5 | F-3 | |||||
| G-6 | ||||||
| H-3 | ||||||
| I-12 |
Note: this puzzle is not interactive, and the squares cannot be clicked.