1. Someone wrote a program, starting from 1, alternately doing multiplication or addition (the first time can be addition or multiplication), adding 2 or 3 to the result of the last operation each time; For each multiplication, multiply the result of the last operation by 2 or 3, for example, 30, and you can get:1+3 = 4 * 2 = 8+2 =10 * 3 = 30. How can we get the 97th-2nd solution: 2 of100th +2: 1+3 = 4+2 = 3 of quadratic -2 = 3 of quadratic +2-2 =(3 of quadratic+2-2) * 2 = ... I wonder how many monks there are. 364 bowls, see if they are used up. Three people eat a bowl and four people eat a bowl of soup. Excuse me, sir, how many monks are there in the temple? Answer: three people * * * eat a bowl: then one person eats a third bowl and four people * * * eat a bowl of soup: then one person eats a quarter bowl when drinking soup, and each person uses1/3+1/4 = 7/12 bowls. X=624 3。 Two boys each ride a bicycle and start riding in a straight line from two places 20 miles apart (1 mile or 1.6093 km). At the moment they set off, a fly on the handlebar of one bicycle began to fly straight to another bicycle. As soon as it touched the handlebar of another bicycle, it immediately turned around and flew back. The fly flew back and forth, between the handlebars of two bicycles, until the two bicycles met. If every bicycle runs at a constant speed of 10 miles per hour and flies fly at a constant speed of 15 miles per hour, how many miles will flies fly? Answer: The speed of each bicycle is 10 miles per hour. After 1 hour, the two will meet at the midpoint of the distance of 2O miles. The speed of a fly is 15 miles per hour, so in 1 hour, it always flies 15 miles. 4. Sunzi Suanjing is one of the top ten famous arithmetical classics in the early Tang Dynasty, and it is an arithmetic textbook. It has three volumes. The first volume describes the system of counting, the rules of multiplication and division, and the middle volume illustrates the method of calculating scores and Kaiping with examples, which are all important materials for understanding the ancient calculation in China. The second book collects some arithmetic problems, and the problem of "chickens and rabbits in the same cage" is one of them. The original question is as follows: let pheasant (chicken) rabbits be locked together, with 35 heads above and 94 feet below. Male rabbit geometry? Solution: Let X be the pheasant number and Y be the rabbit number, then X+Y = B, 2x+4Y = A: Y = B/2-a, X = A-(B/2-a) According to this set of formulas, it is easy to get the original answer: 12 rabbit, pheasant. Let's try to run a hotel with 80 suites and see how knowledge becomes wealth. According to the survey, if we set the daily rent as 160 yuan, we can be full; And every time the rent goes up in 20 yuan, three guests will be lost. Daily expenses for services, maintenance, etc. Each occupied room is calculated in 40 yuan. Question: How can we set the price to be the most profitable? A: The daily rent is 360 yuan. Although 200 yuan was higher than the full price, we lost 30 guests, but the remaining 50 guests still brought us 360*50= 18000 yuan. After deducting 40*50=2000 yuan for 50 rooms, the daily net profit is 16000 yuan. When the customer is full, the net profit is only 160*80-40*80=9600 yuan. 6. Mathematician Weiner's age: The cube of my age this year is four digits, and the fourth power of my age is six digits. These two numbers only use all ten digits 0, 1, 2, 3, 4, 5, 6, 7, 8, 9. How old is Weiner? Answer: Let Wiener's age be X. First, the cube of age is four digits, which defines a range. The cube of 10 is 1000, the cube of 20 is 8000, and the cube of 2 1 is 926 1, which is a four-digit number; The cube of 22 is10648; So 10 =