Test paper question bankThe test question bank was a collection of test questions constructed in the computer system according to a certain educational measurement theory. It was an educational measurement tool formed based on the teaching model. Different subjects and different types of examinations had corresponding question banks. For example, chemistry subjects had junior high school chemistry questions, high school chemistry questions, middle school chemistry questions, college entrance examination chemistry questions, junior high school chemistry competition questions, high school chemistry competition questions, etc. There were also various specialized question banks such as the Union Examination True Question Bank, the Danger to Safety Question Bank, the College Entrance Examination Small Essay Training Question Bank, etc. These question banks contained many questions and their answers, which could be used for teaching, learning, examination review, and many other purposes.
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Intelligence test question bank and answerBelow are some of the IQ test questions and answers:
1. ** Problem with the calculation of accommodation fees **
- [Title: Three people are staying at the hotel, 30 yuan per night.] The three of them each took out 10 yuan to make up 30 yuan and handed it to the boss. Later, the boss said that 25 yuan was enough for today's discount. He took out 5 yuan and ordered the waiter to return it to them. The waiter secretly hid 2 yuan and then distributed the remaining 3 yuan to the three people, each of whom got 1 yuan. In this way, at first, each person took out 10 yuan, and now they returned 1 yuan, which was 10 - 1 = 9. Each person only spent 9 yuan. 3 people each took 9 yuan, 3×9 = 27 yuan, plus the 2 yuan hidden by the waiter, it was 29 yuan. Where did the other 1 yuan go?
- Answer: The 9 yuan spent by each person already includes the 2 yuan hidden by the waiter (that is, the discounted price of 25 yuan + the waiter's hidden 2 yuan = 27 yuan = 3×9 yuan). Therefore, when calculating the composition of the 30 yuan, the 2 yuan hidden by the waiter should not be included, but the 1 yuan returned to each person should be added. In other words, 3×9+3×1 = 30 yuan. From another perspective, the three of them paid a total of 30 yuan and spent 25 yuan. The waiter hid 2 yuan, so each of them spent 9 yuan. Adding the 1 yuan they got, it was exactly 30 yuan. This question was confusing mainly because it separated the 2 yuan from the 27 yuan. The algorithm of the original question mistakenly thought that the 2 yuan left by the waiter was not included in the 27 yuan, so there was a wrong result of missing 1 yuan. In fact, the 2 yuan left by the waiter was included in the 27 yuan. Together with the returned 3 yuan, the result was exactly 30 yuan.
2. ** Onion sales calculation problem **
- [Title: A man went to buy green onions and asked how much a catty of green onions cost?] The seller said that it was 1 yuan per catty, but this was 100 catties, so it was 100 yuan. The person who bought the green onion asked again,"Can the white onion and the green onion be sold separately?" The person who sold the green onion said,"Yes, the white onion is 7 cents, and the green onion is 3 cents."
- Answer: Assuming that the white onion and green onion each account for 50 catties, the original price of 100 catties of green onions is 100 yuan. When sold separately, the white onion is 50 catties, 0.7 yuan per catty, the total price is 35 yuan; the green onion is 50 catties, 0.3 yuan per catty, the total price is 15 yuan. The total is 35 + 15 = 50 yuan, which is 50 yuan less than the original price. The reason was that the price was unreasonable when sold separately, and the overall unit price should be consistent.
3. ** Number of people calculation problem (remainder related)**
- [Question: There is a room having a meal. If there are three people at a table, there will be two more people. If there are five people at a table, there will be four more people. If there are seven people at a table, there will be six more people. If there are nine people at a table, there will be eight more people. If there are eleven people at a table, how many people are there in this room?]
- Answer: Suppose there are x people in the room. According to the meaning of the question, x + 1 can be divided by 3, 5, 7, and 9 at the same time. The least common multiple of 3, 5, 7, and 9 is 315, so x+1 = 315n (n is a positive integral). And because x could be divided by 11, when n = 8, x = 315×8 - 1=2519, 2519/11 = 229, so there were 2519 people in the room.
4. ** Mathematical Laws and Calculation Problems **
- Title:
- (1) If 1 = 5, 2 = 15, 3 = 215, 4 = 3215, then 5 =?
- (2) Number-filling questions have the following rules: first add the first two digits 2+3 = 5, multiply the number obtained by adding the second digit by 5×3 = 15 to obtain 15, and multiply the last two digits by 3×4 = 12 to obtain 12. Given 6 + 7 = 13, then 13×7 = 91, what is the answer at the question mark?
- (3) Subtract the two digits: 5 - 3 = 2, then add the two digits: 5+3 = 8. The sum is 28. Ask 7+3 =?
- (4) The square of 2 plus the square of 3 equals 4 plus 9 equals 13; the square of 7 plus the square of 4 equals 49 plus 16 equals 65; what is the square of 1 plus the square of 5?
- (5) Look at how many circles there are in the number. 1234 has no circle, which is equal to 0; in 5678, 6 has one circle, and 8 has two circles, which is equal to 3; in 6666, 4 6 has one circle, which is equal to 4. How much is 3698?
- Answer:
- (1)5 = 43215。Because 1 = 5 was 1 followed by 0, followed by a 5 (0 was ignored);2 = 15 was 2 followed by 1, followed by a 5;3 = 215 was 3 followed by 21, followed by a 5, thus deducing the law.
- (2)91。It was calculated according to the rules given earlier.
- (3) First, 7 - 3 = 4, then 7+3 = 10, which is 410.
- (4) The square of 1 plus the square of 5 equals 1 plus 25 equals 26.
- (5) In 3698, 6 has 1 circle, 8 has 2 circles, and 9 has 1 circle. There are a total of 4 circles, so it is equal to 4.
5. ** Time-related logical reasoning problems **
- If yesterday was/tomorrow (Thursday)/, then today would be Friday; or if/yesterday (Saturday)/was tomorrow, then today would be Friday. What day is it today?
- Answer: There are two answers: Wednesday or Sunday. If only yesterday was/tomorrow (Thursday)/, then today would be Friday. Translator: Yesterday wasn't Thursday, but in fact, tomorrow is Thursday, so today is Wednesday. If/yesterday (Saturday)/was tomorrow, then today would be Friday. Translator: Tomorrow is not Saturday, but in fact, yesterday was Saturday, so today is Sunday.
6. ** Number combination equals fixed value problem **
- [Question: How do I make the number 8 equal to 1000?]
- Answer: 8+ 8+8+88+888 = 1000.
7. ** Passing marks are different, but the difference is the same question **
- [Question: Xiao Qiang's Math was only 6 points away from passing, and Xiao Ming's Math was also only 6 points away from passing. However, Xiao Ming's and Xiao Qiang's scores were different. Why?]
- The answers were 54 points and 0 points.
8. ** Snail climbing well problem **
- [Title: A well is seven meters deep. A snail is climbing up from the bottom of the well. It climbs three meters during the day and falls two meters at night.]
- Answer: The snail actually climbs 3 - 2 = 1 meter every day, but on the last day, after climbing out of the well during the day, it will not fall again. In the first four days, they climbed a total of four meters. On the fifth day, they could climb out of the well by climbing three meters during the day, so it took a total of five days.
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