Chapter 51: I've Been Hit (Collect!!)
Chapter 51
That evening.
The first quiz begins.
After dinner, the students and coaches were gathered into three separate classrooms.
Many students sat down according to the names posted on their positions.
As for the coaches who chose to participate in the national team leadership competition, they were placed in the front rows of the classroom.
Gu Lu sat in the middle of the first row, on the left was a coach wearing round-framed glasses and a physiognomy teacher, and on the right, it was Coach Zhao Kun from Qidong Province.
"Teacher Gu, what a coincidence!" Zhao Kun turned his head and smiled at Gu Lu.
"yes, what a coincidence. Gu Lu also smiled mysteriously.
As he spoke, an old teacher from the four major universities pushed the door and walked in, holding a stack of test papers in his hand.
He lifted his glasses, "Today's test questions are very simple, there are only three questions. The exam lasts 40 minutes, and you can submit the paper in advance after answering. ”
"Now I will send you the test papers. ”
After speaking, divide the test paper into several parts and hand it to the few people sitting in the first row and ask them to pass it back.
Gu Lu got the test paper for the first time and simply glanced at the questions.
Gu Lu thought it would be a three-question competition-type question, but it was not.
The types of the three questions are indeed very different from the form of the competition questions.
However, it tests the candidates' logical reasoning and computing skills.
Question 1:
[142857 is a set of magic numbers, it proves that there are 7 days in a week, it accumulates itself once, it is rotated by its 6 numbers, in order, and on the 7th day, they are on vacation, and the 999999 goes to replace the class, the specific mathematical expression is as follows: 142857×1=142857
142857×2=285714
142857×3=428571
142857×4=571428
142857×5=714285
142857×6=857142
142857×7=999999
It can be seen that the results from 1 to 6 have the same number, and 1, 4, 2, 7, and 8 just switch positions and appear repeatedly.
This is called the rotation of the number.
In fact, in addition to rotation, 142857 this mysterious number still has other laws of operation, please try and look for them, and then list one of them!]
That's the first question.
It seems to have nothing to do with the competition questions, but it tests the students' reasoning and ...... more than the competition questions Creativity!
Countless directions, infinite possibilities.
The answer is not the only one.
At this time, it depends on the candidate's basic skills.
For many candidates who are accustomed to doing competition questions, this question may be a big challenge.
And Gu Lu's side, the moment he finished reading the question, he already had the answer in his mind.
I saw that he took a pen, and instead of scratch paper, he wrote directly in the answer area of the test paper.
【1÷7=0.14285714285714285
2÷7=0.2857142857142857
3÷7=0.42857142857142854
4÷7=0.5714285714285714
5÷7=0.7142857142857143
6÷7=0.8571428571428571
…………】
1~6 any number, after dividing by 7, the resulting number cycle is all repeated by the different permutations and combinations of 1, 4, 2, 8, 5, and 7.
Originally, Gu Lu had two other solutions in his mind.
It's just that there is not enough blank space in the test paper, and I have no choice but to give up in the end.
Question 2:
[The lightning splitting number, also known as the Cabrek number, is defined as: If the square of the positive integer X can be divided into two numbers, and the sum of these two numbers is exactly equal to X, then X is the Cabrek number. For example, 55^2 = 3025, while 30+25 = 55.
According to the definition of lightning splits, please give three additional lightning splits. 】
This question is simpler than the first one, because there is a set of formulas for calculating the number of lightning splits.
Gu Lu directly wrote down three equations on the test paper:
318682^2=101558217124=101558+217124
356643^2=127194229449=127194+229449
538461^2=289940248521=289940+248521
The third question is also about some interesting numbers - the number of black holes!
This question discusses the number of four-digit black holes, that is, any four-digit number, arrange the four numbers that make up it from largest to smallest to form A1, and then form A2 from smallest to largest, and then operate the results obtained from A1-A2 again according to the above rules.
After a few times, you will find that the resulting number will be in a cycle of 4176.
The requirement of the question was to find a three-digit black hole number, and after a simple calculation in his mind, Gu Lu determined the number 495.
That's it!
Gu Lu, who hadn't taken the exam for a long time, inexplicably missed this feeling.
After looking at the time, more than thirty seconds had passed.
"It's a bit of a regression!" Gu Lu shook his head, picked up the test paper, and got up.
"Teacher Zhao, please let me go. Gu Lu walked up to Zhao Kun, who was writing and drawing on scratch paper, and spoke in a low voice.
"Huh?" Zhao Kun looked up with confusion in his eyes.
"I'll go out to hand in the papers, please let me out. Gu Lu frowned and repeated the words.
What?!
Zhao Kun was stunned on the spot.
He lifted his wrist and looked at the time on his watch.
That's right! I didn't cross it!
It's been less than a minute since the exam.
He turned his head to look behind him and could see that the test papers had not yet reached the last row because the lecture hall was too large.
Why don't you have someone who hasn't got the test paper, so you're going to go up and hand in the paper?
Zhao Kun had a look on his face, "Teacher Gu, are you sure you have to go up and hand in the paper now?"
Gu Lu shrugged, "Is there any problem, such a simple question, do I have to wait for more than ten minutes before handing in the paper?"
Simple?
How come I didn't feel it......
In Zhao Kun's view, the difficulty of each of these three questions is no less than a CMO-level competition question.
Zhao Kun said that he was hit, but he still managed to squeeze out a smile.
He got up to make way for Gu Lu, "Teacher Gu, please." ”
Gu Lu walked to the stage and handed the test paper to the old professor who was sitting on the stage looking at a certain book.
Geometrical methods of mathematical physics, geometric methods in mathematical physics, and the original English version by Professor Campbell. Gu Lu spoke softly.
The old professor raised his head and glanced at Gu Lu in surprise, "Do you know this book?"
Gu Lu smiled slightly, "I read it when I was abroad." ”
The old professor caught a glimpse of the test paper in Gu Lu's hand and asked, "Who are you?"
"Oh, I'll hand it in. ”
"You're done?"
"It's done. ”
“…… Then you put it on the table. The old professor glanced at Gu Lu meaningfully, looked at the name column on the side of the test paper, and silently remembered the name 'Gu Lu'.
After handing in the papers, Gu Lu didn't have to stay, and opened the door and left.
This scene on the stage naturally attracted the attention of many people in the audience.
So when he saw the scene where Gu Lu handed over the papers and left in a chic manner, both the students and the coaches in the audience showed a surprised and inexplicable look on their faces.
The students in the last row who had just got the test papers were even more confused.
Who am I?
Where am I?
What am I doing?
In the middle of the classroom, Bi Qi, who had watched this scene in its entirety, had a red face with excitement.
This is called the real king!!
No need for superfluous nonsense, just a simple move, but it frightens several people.
Compared with Teacher Gu, he is obviously too clumsy.
At this moment, the desire in Bi Qi's heart to improve his strength became even stronger.
In the future, he must become Teacher Gu's man......
Phew, no, it's a man like Mr. Gu!