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Quote from: lightarrow on 01/08/2008 13:01:22A sample of 100 kg of potatoes has a water content of 99%. It is put under the sun to dry a little, and the water content at the end becomes 98%. How does the potatoes weight now?Is the water content 97.02%? Do the potatoes weigh 98kgs?

A sample of 100 kg of potatoes has a water content of 99%. It is put under the sun to dry a little, and the water content at the end becomes 98%. How does the potatoes weight now?

you have two fuses which burn exactly in one hour each; they don't burn in a regular way, however, so you can't say that half lenght will burn in half an hour, and so on.The problem is that you have to measure exactly 45 minutes. How will you do it?

It's possible to solve it without your assumption a) but with b) only.

1) The FrogA frog is at the bottom of a 30 meter well. Each day he summons enough energy for one 3 meter leap up the well. Exhausted, he then hangs there for the rest of the day. At night, while he is asleep, he slips 2 meters backwards. How many days does it take him to escape from the well? Note: Assume after the first leap that his hind legs are exactly three meters up the well. His hind legs must clear the well for him to escape.Answer??

2) The SocksCathy has six pairs of black socks and six pairs of white socks in her drawer.In complete darkness, and without looking, how many socks must she take from the drawer in order to be sure to get a pair that match? Answer??

3) There is something about MaryMary's mum has four children.The first child is called April.The second May.The third June.What is the name of the fourth child?Answer ??

4) 100 Gold Coins (this problem is more difficult)Five pirates have obtained 100 gold coins and have to divide up the loot. The pirates are all extremely intelligent, treacherous and selfish (especially the captain).The captain always proposes a distribution of the loot. All pirates vote on the proposal, and if half the crew or more go "Aye", the loot is divided as proposed, as no pirate would be willing to take on the captain without superior force on their side. If the captain fails to obtain support of at least half his crew (which includes himself), he faces a mutiny, and all pirates will turn against him and make him walk the plank. The pirates start over again with the next senior pirate as captain. What is the maximum number of coins the captain can keep without risking his life?

Me too - I can solve it in two weighings if I cheat and use either gravitational attraction or momentum, but not purely via weighing.

Quote from: lightarrow on 01/08/2008 13:01:22A sample of 100 kg of potatoes has a water content of 99%. It is put under the sun to dry a little, and the water content at the end becomes 98%. How does the potatoes weight now?So 100 kg pots = 99% water plus 1% "stuff".Therefore 1% stuff = 1kg and 99% water = 99kg. 98% water = 98 kg. Pots = 1kg "stuff" plus 98kg = 99kg.