Interesting C-test questions (collected)

I,For unevenly distributed incense, the duration of each incense burn is one hour. How can you determine the duration of 15 minutes?

The first ignition ends, and the second ignition ends. When the first root is burned, it takes 30 minutes, so the second root can be burned for 30 minutes. At this time, the other end of the second root is ignited, and the second root incense can be burned for 15 minutes.

 

II,The census clerk asked a woman, "how many children do you have? How old are they ?".

The woman replied, "I have three children. Their age is multiplied by 36, and the age is equal to the house number next to them. "The census clerk immediately went to the next room and looked at it. Then he came back and said," How much information do I need ." The woman replied, "I am very busy now. My biggest child is sleeping upstairs ." The census clerk said, "Thank you. I already know ."

Q: What is the age of the three children.

36 = 1 × 2 × 2 × 3 × 3

All

1, 1, 36; sum = 38

1, 2, 18; sum = 21

1, 3, 12; sum = 16

1, 4, 9; sum = 14

1, 6, 6; sum = 13

2, 2, 9; sum = 13

2, 3, 6; sum = 11

3, 3, 4; sum = 10

Because the census taker knows the age and cannot determine the age of each child, the possibility is

1, 6, 6; sum = 13

2, 2, 9; sum = 13

Since the largest (implies only one largest) child is sleeping, it is only possible that

2, 2, 9; sum = 13

 

A monkey has 100 bananas on the side. It takes 50 meters to get home. Each time it moves 50 bananas at most, it eats one at a time, how many bananas can be moved to the house at most.

Monkey can adopt the following policies:

The monkey first moved 50 and walked to 1 meter. On the road, eat 1 root, put down 48 root, then return the starting point, and eat the remaining 1 root on the way back. Then, move the 50 bananas at the starting point to one meter and eat one on the road. In this way, a total of three bananas are consumed, and all the bananas are moved one meter forward. After a similar strategy was adopted, a total of 48 bananas were consumed, with 52 remaining.

If you continue to move forward to 17 meters in the same way, 49 bananas are left. If you drop 2 bananas at 16 meters, move 50 bananas forward, there are also 49 bananas at a distance of 17 meters. So monkeys can keep up to 49 bananas at a distance of 17 meters.

There are still 33 meters left at home, so there are 16 bananas left.