"Has Xiao Leng ever learned to prescribe?"
Xiao Li asked while stabilizing his mind slightly.
"Learned."
Xiao Leng nodded, the prescription is junior high school knowledge, of course she has learned.
"Very good, then Xiao Leng, can you tell me what is the square of the 5687498?"
Xiao Li asked a second question.
"The 5687498 is ...... square" Xiao Leng paused for this, but only for a moment, she said, "About 23848475842283924." ” Xiao Leng said it too quickly, Xiao Li blinked, and he asked Xiao Leng to repeat it again.
Xiao Leng repeated it again.
Xiao Li didn't speak again, he looked at his two companions, his hands trembled a little, because the data on the paper was only accurate to four decimal places.
The woman surnamed Zeng hurriedly calculated it with a calculator, and found that it was just like what Xiao Leng said, she was also shocked, her goosebumps rose, such a terrifying calculation speed, she really had never seen it, this is an open square, not an ordinary operation, but it still let her say it.
Xiao Li nodded lightly and whispered, "There is no need to ask any more questions about mathematical operations." ” The two women surnamed Zeng nodded in agreement.
The woman surnamed Zeng took another stack of test questions from her companions, she took out a piece of paper, and handed it to Xiao Leng with a smile, "Xiao Leng, you try to prove this question." ” Xiao Leng took this question and looked at it: an integer n, n is not divisible by 2 or 5, and verify: there must be an integer composed of only 1, which can be divisible by n.
She just glanced at it, and didn't even start her pen, but just said, "Arrange all the numbers made up of 1s from smallest to largest: 1, 11, 111, 1111, 1111......
Remove these numbers sequentially with n to get a set of remainders.
And the possible values of these remainders are 0 to n-1.
So, just take the first n + 1 numbers consisting of 1s, at least two of which are equal by the remainder divided by n, and subtract these two numbers to get a number like this: 1111111... 11110000000… 000000, this number must be divisible by n.
Note that n is not divisible by 2 or 5, so n Not divisible by 10.
So remove all the 0s on the tail of the number you get, and it will still be divisible by n.
In this way, we get a number that is all 1 divisible by n. ” It was too easy for her, and it was something that could even be proven without much thought.
The woman surnamed Zeng was not surprised by this, she took out another question and handed it to Xiao Leng.
Xiao Leng looked at it again: there are 4 different numbers that can form a total of 18 different 4-digit numbers, and the 18 different 4-digit numbers are arranged in a row from small to large, the first of which is a perfect square number, and the penultimate one is also a complete square number, so what is the average of these 18 numbers?
Xiao Leng paused for less than two seconds, "The average of these 18 numbers is 6444. ” The woman surnamed Zeng clenched her hand slightly, the answer was correct, this question was much more difficult than the one just now, but it was still less than two seconds, this was too fast, how did she figure it out in her brain?
The woman surnamed Zeng took out two more questions and handed them to Xiao Leng.
Xiao Leng looked at it, but the two problems at this time were geometry problems, one to find the area of the red octagon, and the other to find the shadow area of the crescent shape.
"The red octagon has an area of one-ninth, and the meniscus has a shadow area of 12."
Xiao Leng still didn't use a pen, but said it directly.
The three women surnamed Zeng were stunned for a moment, these questions are all middle school-level problems, they belong to the kind of problems that even if they master mathematical knowledge, if the mathematical logic is not good, then they can't be solved, and these questions are all original problems from university mathematics professors, and they have not been circulated outside , they can confirm that Xiao Leng has not read these questions.
"Come to something difficult, don't ask about that."
The man next to him urged, and he came back to his senses, since he was a genius, of course these questions could not stump her.
The woman surnamed Zeng nodded, she took out another piece of paper, and now there are three questions on the paper, all of which are advanced mathematical problems that can only be accessed in college, a limit, a calculus, and a spatial analytic geometry.
Xiao Leng took the question, she glanced at it and shook her head, "I haven't learned these mathematical symbols, so I can't understand them." ” The three women surnamed Zeng all nodded, they just needed Xiao Leng not to understand, because the questions just now can be said to test Xiao Leng's ability to calculate, logical thinking and other abilities, and now they want to test Xiao Leng's learning and comprehension ability.
"Xiao Leng, Sister Zeng will explain the meaning of these symbols to you, and then you can solve the problem......"
The woman surnamed Zeng said unhurriedly.
The three of them can be sent by the company to do an intelligence test, and they are naturally not incompetent, among them, the woman surnamed Zeng is good at mathematics, Xiao Li is physics, and the other man is a talent in statistics.
"Xiao Leng, do you understand?"
The woman surnamed Zeng just said all three questions once, and did not continue, because the requirement of this test is to understand it for the first time, and if it can only be understood for the second time, I am afraid that it will not be able to reach the intelligence coefficient of 10.
In the definition of the company's intellectual system, the self-learning ability of geniuses accounts for a large proportion.
Yuan Chang Li and Kong Qiuyu, who had been watching from the side, had been dizzy, not to mention these three questions, even the math problems in front of them had stunned them, as for Liu Liu, she didn't listen at all, she just buried herself in learning paper-cutting, and these things had little to do with her.
Xiao Leng didn't say whether she understood or not, she just thought about it slightly, and said the answers to the three questions one by one, and she said it very accurately.
The three women surnamed Zeng were shocked again, these three questions were difficult to understand, but Xiao Leng not only understood after listening to them, but also solved them at a very fast speed, this kind of learning ability is really ridiculously strong.
"These three questions have some meaning, what kind of knowledge is in the book?"
After Xiao Leng finished answering, he asked with some curiosity.
"Advanced Mathematics for Universities."
The woman surnamed Zeng was silent for a while and said.
"It turned out to be the mathematics knowledge of the university."
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Xiao Leng nodded slightly, thinking that she would go back and ask Su Zhi to help her find it, and take a good look to relieve her boredom, after all, middle school math is a little too boring.
"Let's move on to the last question."
Xiao Li proposed, his voice trembling slightly.
The woman surnamed Zeng had no opinion, and cautiously took out a piece of paper and handed it to Xiao Leng, this is the last question.
Xiao Leng took it, she frowned at this time, and the topic on the paper was very simple: to verify that any even number greater than 2 can be written as the sum of two prime numbers.
The woman surnamed Zeng was relieved to see that Xiao Leng was stumped, don't look at the simple question, but this is the Goldbach conjecture among the world's three major mathematical conjectures, and it has not yet been fully proven, she wants to see how Xiao Leng will react?
At the same time, the woman surnamed Zeng sighed in her heart, the company's definition of intelligence coefficient 10 is too perverted, and the requirement is to be able to prove a small part of Goldbach's conjecture.
Don't look at it as a small part, but this conjecture is not known how many mathematical researchers spend their entire lives difficult to prove a part, once a part is proven, it is the true glory of mathematics!
Xiao Leng blinked, she didn't look at the paper again, but thought about it herself.