Id number: 3 18 1

1.

There are many poplars in the park, lined up and planted by the roadside.

Xiaoming waters the tree from left to right, and Xiaohong waters the tree from right to left. (water from the first tree)

Xiaoming waters every four trees, and Xiaohong waters every five trees.

Xiaoming watered every three trees and Xiaohong watered every six trees.

Xiaoming waters every two trees, and Xiaohong waters every 10 tree.

There are 10 trees watered by two people together.

How many trees are there?

2.

Five monkeys found a bunch of peaches at the seaside and decided to divide the second day. The next morning, the first monkey arrived at the earliest, so he couldn't separate himself from the left, so he threw one into the sea and divided it into five parts. He took one and left. The second, third, fourth and fifth monkeys also encountered the same problem and adopted the same method. After throwing away one, it can be divided into five parts.

3.

A, B and C play chess, and the loser in each game must watch it. The original spectator played chess with the winner again. The three of them played for half a day, and the result was that A played 15 games, B played 2 1 game, and C watched 5 games. So who is watching the third scene?

4.

Digital reasoning

3= 1+2

9=4+5=2+3+4

15=7+8=4+5+6= 1+2+3+4+5

8 1=40+4 1=26+27+28= 1 1+ 12+ 13+ 14+ 15+ 16=5+6+7+8+9+ 10+ 1 1+ 12+ 13

What's the next number?

5.

100 candidates took the test, and the first question was correctly answered by 8 1 person, the second question was correctly answered by 9 1 person, the third question was correctly answered by 85 people, the fourth question was correctly answered by 79 people, and the fifth question was correctly answered by 74 people. Those who answered three or more questions correctly were deemed to have passed. So, how many of the 100 people passed at least?

* Many online solutions are simple and violent, such as:

If 100 people answer five questions, there are 100*5=500 questions. If we know the number of people who answer each question correctly, we can know the total number of wrong questions: 500-(81+91+85+79+74. Can be converted into "how many people failed at most?" From the questions, we can know that those who answered three questions correctly failed, and 90/3=30 people (failed). So at least 100-30=70 people passed.

I just want to ask, if the title is changed to: 99 people answered correctly in the first question, 99 people answered correctly in the second question, 99 people answered correctly in the third question, 99 people answered correctly in the fourth question, and 14 people answered correctly in the fifth question. According to the thinking of solving problems, 500-(99+99+99+65,438+04) = 90, is there at least 70 people? Think about it, young man. Distribution should also be considered.

6.

Seemingly simple, but actually burning brain topic:

The teacher asked the kindergarten children to stand in a row and distribute fruit. The teacher's method of distributing fruit is this:

Starting from the first person on the left, give a pear to every two people.

Starting from the first person on the right, give an apple to every four people.

After sharing, nine children got pears and apples.

So how many children are there in this kindergarten at most?

7.

There is a watermelon big enough to cut it flat with a fruit knife (the knife is in a plane), which is 9 knives in total. How many pieces can I cut at most?

8.

Xiao Ming bought 13 standard balls, and their weights were 10, 20, 30, 40, 50, 60, 70, 80, 90, 100, 165, 438+00, respectively.

9.

Reasoning from the law of numbers, let's decipher this digital password.

1

1 1

2 1

1 2 1 1

1 1 1 2 2 1

What's the number of the next line? Can you find the pattern?

10.

The king organized a dance for 20 extremely clever people, each wearing a mask on his face. There are only two kinds of masks, black and white, and at least one is black. Everyone can see the color of others' masks, but not their own. The king first showed everyone what color masks others were wearing, and then turned off the lights. If someone thinks he is wearing a black mask, he will slap himself in the face. The first time I turned off the lights, there was no sound. So I turned on the light again and everyone watched it again. When I turned off the light, it was still silent. I didn't get a slap in the face until I turned off the light for the third time. How many people wear black masks?

1 1.

There are 16 coins. A and B take a certain number of coins in turn, and the number of coins taken must be one of 1, 2, 4. If the last person who took the coin was convicted and your opponent was smart enough, would you choose the first hand or the second hand to win?

Don't be fooled, reason about the process.

12.

A and B play guessing games. A choose an integer between 1 and 1024.

B can only ask a yes or no questions (A can only answer yes or no questions).

A can lie at most once (or not), and A will deliberately make things difficult for B. Because B doesn't know what the number is, he will keep changing the number until he is asked that he can't change the number again, and then he will tell B that this is the correct answer.