16 There is a sports competition * * * with m events, in which athletes A, B and C take part. The first place, the second place and the third place in each project were scored x, y and z respectively, where x, y and z are positive integers, and X >；; Y>z. In the end, A got 22 points, B and C both got 9 points, and B won the first place in the 100 meters. Find the value of m and ask who is the second place in the high jump?

Because the ABC score is ***40, and all three scores are positive integers and unequal, the first three scores are at least 6, and 40 = 5 * 8 = 4 *10 = 2 * 20 =1* 20, so it is not difficult to draw that the number of items can only be 5. That is, M=5.

A got 22 points and ***5 items, so the first point of each item can only be 5, so A should get 4, one point for each item and two points for each item. 22=5*4+2, the second score is 1, and it is the first in B meter, so A can only get this second.

B *** Five items are 9 points, of which 100 meter is the former 15 point, and the other four items are 1 minute, 9 = 5+ 1 = 1+ 1. That is to say, B is all third in the 100 meters except the first, and the second place in high school must be obtained by C.

17 premise:

1 There are five houses and five colors.

The owner of each house has different nationalities.

Each of these five people only drinks one kind of drink, smokes one brand of cigarettes and keeps a pet.

No one keeps the same pet, smokes the same brand of cigarettes and drinks the same drinks.

Tip: 1 English people live in red houses.

The Swede has a dog.

Danes drink tea.

The green house is on the left of the white house.

The owner of the green house drinks coffee.

Smokers in PALL MALL have a bird.

The owner of the yellow house smokes Dunhill cigarettes.

People who live in the middle house drink milk.

Norwegians live in the first house.

10 People who smoke mixed cigarettes live next to cat owners.

1 1 The owner lives next door to the smokers in Dunhill Road.

12 Master Lan smokes and drinks beer.

13 Germans smoke prince cigarettes

Norwegians live next to the blue house.

15 people who smoke mixed cigarettes drink mineral water in their neighbors.

The question is: Who raises fish?

The first room is a yellow house, where Norwegians live, drink mineral water, smoke Dunhill cigarettes and keep cats. The second room is a blue house, where Danes live, drink tea, smoke mixed cigarettes and raise horses; The third room is a red house, where British people live, drink milk, smoke PALL MALL and raise birds. The fourth is the green house, where Germans live, drink coffee, smoke prince cigarettes and keep pets except cats, horses, birds and dogs. The fifth room is a white house, where Swedes live, drink beer, smoke blue cigarettes and keep dogs.

185 People come from different places, live in different houses, keep different animals, smoke different brands of cigarettes, drink different drinks and like different foods. Determine who owns a cat according to the following clues.

1. The red house is on the right of the blue house and the left of the white house (not necessarily adjacent).

The owner of the yellow house is from Hong Kong, and his house is not on the far left.

People who like pizza live next door to people who like mineral water.

Beijingers love Maotai and live next door to Shanghainese.

Hilton smokers live next door to the owner's right.

6. People who like beer also like chicken.

7. People in green houses have dogs.

8. People who love noodles live next door to snake farmers.

9. There is a neighbor from Tianjin who likes beef, and another from Chengdu.

10. Fish farmers live in the rightmost house.

1 1. Marlboro smokers live between Hilton smokers and "555" smokers.

12. People in the red house like drinking tea.

13. People who love wine live next door to people who love tofu.

14. People who smoke Hongtashan cigarettes don't live next door to people who smoke Jianpai cigarettes, nor are they adjacent to Shanghainese.

15. Shanghainese live in the second house on the left.

16. People who love mineral water live in the middle house.

17. People who like noodles also like to drink.

18. People who smoke "555" live on the right side than those who smoke Hilton cigarettes.

The first room is a blue house, living in Beijing, raising horses, smoking Jian brand cigarettes, drinking Maotai and eating tofu. The second is a green house, living in Shanghai, keeping dogs, smoking Hilton, drinking and eating noodles. The third is the Huang family, who lives in Hong Kong, keeps snakes, smokes Marlboros, drinks mineral water and eats beef. The fourth is the red house, living in Tianjin, smoking 555, drinking tea and eating pizza. The fifth room is a white house, where Chengdu people live, raising fish, smoking Hongtashan, drinking beer and eating chicken.

19 Landlord attached the endgame

Louzhupai 2, k, q, j, 10, 9, 8, 8, 6, 6, 5, 5, 3, 3, 7, 7.

Foreman A holds Wang, Xiao Wang, 2, A, K, Q, J, 10, Q, J, 10, 9, 8, 5, 5, 4, 4.

Party b has 2, 2, a, a, a, k, k, q, j, 10, 9, 9, 8, 6, 6, 4, 4.

All three families know each other's cards. The requirement is that the three companies don't play the wrong cards, and the landlord will win or lose. Q: Who will win?

To be determined, I hope a friend can give a reasonable answer.

There is a diamond at the door of every elevator from the first floor to the tenth floor. Diamonds vary in size. When you take the elevator from the first floor to the tenth floor, the elevator doors on each floor will open once, and you can only bring diamonds once. How can I get the biggest one?

Take the diamonds on the first floor first, and then compare the diamonds in your hand with those on the first floor on each floor. If the diamond on the first floor is bigger than that in your hand, change the diamond in your hand to that floor.

2 1U2 choir will arrive at the concert site in 17 minutes. On the way, it is necessary to cross a bridge. Four people start from the same end of the bridge. You have to help them reach the other end. It was dark and they only had one flashlight. At most two people cross the bridge at a time, and they must hold flashlights when crossing the bridge, so someone has to walk back and forth at both ends of the bridge with flashlights. You can't send out the flashlight if you throw it away. Four people walk at different speeds. If two people go together, the slower one shall prevail. It takes 1 minute for Bono to cross the bridge, 2 minutes for Archie, 5 minutes for Adam and 10 minute for Larry to cross the bridge. How do they cross the bridge in 17 minutes?

2+ 1 pass 2 first.

Then 1 come back to deliver the flashlight.

5+ 10, and then 10.

2 come back to send a flashlight 2

2+ 1 over 2

Total * * * 2+1+10+2+2 =17 minutes.

A family has two children, one of whom is a girl. Ask the probability that the other person is also a girl (assuming that the probability of giving birth to boys and girls is the same).

1/3

The sample space is (male) (female) (male and female) (female and male)

A = (one of them is known to be a girl) = (female) (male and female) (female and male)

B = (the other one is also a girl) = (female)

So p (b/a) = p (ab)/p (a) = (1/4)/(3/4) =1/3.

Why is the cover of the sewer round?

No matter what angle, the manhole cover will not fall off.

There is a 7-gram and 2-gram weight and a balance. How to use these items to divide140g salt into 50g and 90g respectively for three times?

140->； 70+70 70->； 35+35

35+70= 105

105->； 50+7 + 55+2

55+35=90

25 Chip Test: There are 2k chips, and there are more known good chips than bad chips. Please design an algorithm to find a good chip and explain the upper limit of the number of comparisons you use. Among them, when a good chip is compared with other chips, it can correctly give whether another chip is good or bad. When a bad chip is compared with other chips, it will randomly give good or bad.

Compare the first chip with the others one by one to see whether the other chips give the first chip good or bad. If the first chip is half as good, it means it is a good chip. Over. If half of the given chips are bad, which means that the first chip is bad, the above steps should be repeated in those chips where the first chip is bad until a good chip is found.

26 12 ball is a kind of balance. Now we know that only one ball has a different weight from the others. How can we find the ball after three times? 13? Note that this question does not explain whether the ball is light or heavy. )

12 can find out which ball is heavier and which ball is lighter, 13 can only find out which ball it is, and the weight is unknown.

Write the ball123456 ⑧ ⑼ ⑾ ⑿. (When there is 13, the number is [13])

First weighing: first put 1234 and 5637 ⑧ on both sides of the balance.

If equal, it means that the special ball is among the remaining four balls.

Weighing ① ⑨ and ⑩ for the second time,

1. If they are equal, it means ⑿ is special. Weigh ① and ⑿ for the third time to judge whether ⑿ is heavy or light.

For example, ① Pet-name ruby < Pet-name ruby shows that Pet-name ruby is either heavy or light.

The third weighing ⑽. If equal, Pet-name ruby is light, but not equal, we can find out who is the heavy ball.

⒀ If ① ⑨ > ⑩, then ⑩ is light and ⑨ is heavy.

The third weighing ⑽. If they are equal, it means that Pet-name ruby is heavy. If they are not equal, we can find out who is the light ball.

Er Ru left ③ ⑤, which means either ⑤ is heavy or one of ③ ⑤ is light.

Weigh ③ and ④ for the third time. If they are equal, it means ⑤ is heavy. If not, we can find out who is the ball of light.

If the third is left > right, please refer to the second and proceed in the opposite direction.

When there are 13 balls, the first step is as follows.

Weighing ① ⑨ and ⑩ for the second time,

1. If they are equal, it means that ⑿ ⑿ is special. Weigh ① and ⑿ for the third time, you can judge whether ⑿ is special, but you can't judge the weight.

See 3. The first step in an unequal situation.

27 100 people answered five questions, 8 1 people answered the first question correctly, 9 1 people answered the second question correctly, 85 people answered the third question correctly, 79 people answered the fourth question correctly, 74 people answered the fifth question correctly, and those who answered three or more questions correctly were regarded as passed. So, among the 100 people, at least

Solve the original problem first. The number of wrong answers to each question is (the order is not important): 26,265,438+0,654,38+09,654,38+05,9.

Distribution level 3: The maximum number of people who answered three questions incorrectly is (26+21+19+15+9)/3 = 30.

Distribution level 2: The maximum number of people who answered two questions incorrectly is (21+19+15+9)/2 = 32.

Distribution layer 1: The number of people who answered the question incorrectly 1 is: (19+15+9)/1= 43.

Max _ 3 = min (30,32,43) = 30. So the answer is: 100-30=70.

In fact, because 26 is less than 30, it can be judged that the answer is 70 after finding the first distribution layer.

In order to minimize the number of people who pass, we must do two things:

1. Those who fail answer as many questions as possible, which reduces the number of questions that those who pass need to answer correctly, and only fewer people pass.

Everyone who passes the exam answers as many questions as possible, which can also reduce the number of people who pass the exam.

Everyone at 1 answered at least two questions correctly.

Starting from 2, the remaining 2 10 questions need to be assigned to 70 people: 2 10/3 = 70, so that these 70 people can answer all the questions correctly, while the other 30 people can only answer two questions correctly.

It is also easy to give specific embodiments:

Let 70 people answer all five questions correctly, 1 1 Only the first and second questions were answered correctly, 10 only the second and third questions were answered correctly, five people answered the third and fourth questions correctly, and four people answered the fourth and fifth questions correctly.

Obviously, a slight change will increase the number of people who pass the exam. So the minimum number of people passing is 70!

Eason Chan has a song called "Ten Years" and Lu Shan has a song called "3650 Nights". Now, how many days may there be in ten years?

Determination of leap year: If the two digits at the end of the year are not all zero, such as 1990, or divide by 4, the leap year can be divisible.

If the last two digits are all zeros, you have to divide by 400, such as 2000, which means dividing by 400. So 2 100 is not a leap year,

Such a decade may include 1, 2 leap years, 365 1 or 3652 days.

29 1, 1 1, 2 1,1,1 1 221.

The following line is the explanation of the previous line, so the new one should be 3121:312211.

It takes an hour to burn an uneven rope. How to judge half an hour with it? It takes 1 hour to burn an uneven rope from beginning to end. Now several ropes are made of the same material. How to time an hour and fifteen minutes by burning rope? (Microsoft's pen test)

One, it takes half an hour for a rope to burn at both ends.

Second, one end should be burned and the other end should be burned at both ends. When both ends burn out (30 minutes), the other end of the remaining end will be lit, and it takes 45 minutes to burn out. Then light the third one from both ends and burn it out in 1 hour 15 minutes.