Several inferential problems

Category: Education/Science >> Learning Assistance

Problem description:

1. The big lion, the little lion, the big tiger, the little tiger, the big bear and the little bear want to cross the river. Only the bear can't row a boat. There is only one boat now, and it can only carry two animals, big and small, at a time. When crossing the river, every small animal can't live without other big animals and will be eaten. How can they cross the river?

2. There is a scale without a scale, and the rudder is only 7 kg and 2 kg. Now we have to divide 140 kg of salt into 90 kg and 50 kg, which can only be weighed three times. What should I do? Please write down the process.

4 members of 3.U2 will arrive at the performance site within 17 minutes, and they will cross a bridge on the way, and it will be dark. The four of them only have one flashlight, and the bridge can only pass two people at a time, and they must bring a flashlight every time they cross the bridge. Flashlights can't be thrown from one side to the other, only someone can bring them, and they cross the bridge at different times. When they cross the bridge, it can only be counted as the time of the slow. A is 1 minute, b is 2 minutes, c is 5 minutes, and d is 10 minute. How did they get to the performance site in 17 minutes?

Five pirates took 100 jewels, each of which was the same size and priceless. They decided to draw lots to decide their numbers (1, 2, 3, 4, 5). First, 1 put forward the distribution plan, and then everyone voted. If more than half of the people agree, they will be distributed according to his plan, otherwise they will be thrown into the sea to feed sharks. If 1 dies, No.2 proposes the allocation scheme, and so on. Conditions: Every pirate is a very smart person who can make rational judgments and make choices. What is the final distribution method?

Analysis:

1 It's too simple.

(2) When using salt A for the first time, put 7kg on the left and 2kg on the right. ..

After leveling, a is equal to 5.

The one on the left adds 5 kilograms of tuo. Put all the salt on the left and right. After leveling, on the left is A plus 5 kg tuo plus 60 kg salt. On the right is b=75 kilograms of salt.

A+5 kg tuo and then weigh c= 10 kg salt.

A+B+C = 90kg salt

(4)

The ideal result is 123, which can be done by yourself. Because any proposal made by 4 can be rejected. 4 die. So 4 must support 3. 3 if you die, you die.

Start with the third person. 1, after death, 2, 3 gives 4, and one can satisfy 4. You can take 99 yourself. 3 is the most hope that 12 will die.

1 After death, 2 will die. 2 can't be divided into 3 and 5, just to protect 1 from death.

It is also difficult to get treasures.

1 Get two tickets if you want to live. Two of 2345 is enough. So give the treasure to 2. In the same situation, keep 98 for 4.