2. Sudoku;
3. Hundred chickens and a hundred yuan: There are the following problems in China's ancient mathematical work "Calculation of Zhang Qiujian", which is the famous hundred chickens and a hundred yuan problem. Rooster 1 value 5, hen 1 value 3, chicken 3 1. Today, I had 100 money and bought 100 chickens. How many cocks, hens and chickens do you want?
4, monks eat steamed buns: one hundred steamed buns and one hundred monks, three big monks are more uncontroversial, three small monks are combined into one, how many monks are there?
5. Li Bai buys wine
Walking in the street with nothing to do, carrying a pot to buy wine,
Double it when you meet a store, and have a drink when you see flowers.
I met the shop flower three times and drank all the wine in the pot.
How much wine is there in the pot?
6. Insufficient profit:
Yang Shang was an upright official in the Tang Dynasty. On one occasion, two small collectors in a subordinate department were promoted by rotation, and only one could be selected at that time. After investigating and appraising their qualifications, positions and achievements, it is found that their situation is the same and it is difficult to distinguish them. Who is more suitable for promotion? The official in charge of this work was so embarrassed that he couldn't make up his mind at the moment, so he went to Yang for instructions. After listening to the introduction, Yang Lan thought for a long time and finally came up with a method. He said: "One of the most necessary skills to do things is calculation. Now I will use a calculation problem to test their computing ability. " The question is this:
"At dusk, someone was walking in the forest and overheard several thieves sharing the spoils, probably stealing cloth. Only heard the thief say that if each person is divided into 6 horses, there are still 5 horses left; If everyone is divided into seven horses, there will be eight less. How many pieces of cloth did the thieves divide? "
Yang told this question to two candidate collectors and asked them to write it down on the spot and calculate it on the stone steps of the hall. At the same time, Yang also announced: "Whoever answers correctly first will be promoted."
At this time, one of the small officials put forward the correct answer: "thief 13, cloth 83 pieces." So, he was immediately announced to be promoted. Yang also gained a good reputation for being honest, fair and meritocratic.
How did this little official work out the correct result?
7. Borrow horses to share: Once upon a time, there was an old shepherd in Arabia. Before he died, he called his three sons to him and said, "After I died, I left you nothing but 1 1 horse. Half the boss, a quarter the second, and a sixth the boss. But don't kill or sell horses. Divide it among yourselves. "