2. 5.9
3. 5832/17496
4. 142857/428571 = 1/3 (you almost had me on that one)
5. 101 - 10(2)squared

stmichael wrote:pretty quiet on the footie front today so time for today's teasers:
1. If it were two hours later, it would be half as long until midnight as it would be if it were an hour later. What time is it now?
2. On every clock we can see that at noon the hour, minute and second hand correctly overlay. In about one hour and five minutes the minute and hour hand will overlay again. Can you calculate the exact time (to a millisecond), when it will occur and what angle they will form with second hand?
(Assume that the clock hands move continuously.)
3. One reservoir has four taps. Using the first takes two days to saturate the reservoir, the second tap three days, the third four days and the last one 6 hours. How long will it take to fill the reservoir using all 4 taps at once?
4. A military car carrying an important letter must cross a desert. There is no petrol station on the desert and the car has space only for petrol that lasts to the middle of the desert. There are also other cars that can transfer their petrol to one another. How can the letter be delivered?
5. There is only one airport on a fictional planet, and that is on the north pole. There are only 3 aeroplanes and lots of fuel at the airport. A full tank of an aeroplane lasts exactly to the south pole, however the aeroplanes can transfer their fuel to one another. Your mission is to fly round the globe with at least one aeroplane (above the south pole) and in the end all aeroplanes must return to the airport.
6. A magic rectangular belt always shrinks its length to 1/2 and width to 1/3 whenever its owner wishes something. After three such wishes, its surface was 4 cm2. What was the original length, if the original width was 9 cm?
7. These are the conditions in Baldyville:
No two inhabitants have the same number of hairs on their head.
No inhabitant has exactly 518 hairs.
There are more inhabitants than any inhabitant's hair in the town.
What is the highest possible number of inhabitants?
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