Practical test public examination mathematics, mathematics practical test public examination

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If there are X people in department A, Y people in department B, and Z people in department C, then according to the problem, there are: 38x+24y=30(x+y), and xy=3 4,x=; 24y+42z=34(y+z), find z y=5 4,z=, therefore, the total number of people in the department is: y + average age = sum of ages total number of people = (38 + 24y + 42 years old.

A unit has three departments, A, B, and C, and the average age of the personnel of the three departments is 38 years old, 24 years old, and 42 years old, the average age of the personnel of the two departments A and B is 30 years old, and the average age of the personnel of the two departments B and C is 34 years old, and the average age of all the personnel of the unit is how old (C 35).

a．34 b．36 c．35 d．37

The ratio of the number of people A to B is (30-24) :(38-30) = 6:8 = 3:4 The ratio of B to C is (42-34) :(34-24) = 8:10 = 4:5 The ratio of A, B and C is 3:4:5

The average age of all personnel in the unit is:

Solution: Let the equation for the production of product A x pieces, and the production of product B for product Y

4x＋3y＝40

2x＋5y＝38

Solution y 36 7 5

At this time, the remaining material (raw material A 25 kg, B 13 liters) can also produce 6 pieces of product A.

If 1 kg of raw materials A and 1 liter of B are consumed, they can obtain a profit of x y yuan respectively.

4x+2y=1000

3x+5y=1300

y=157 x= It can be seen that the consumption of raw material A is more profitable, try to consume raw material A 4a 3b =402a, 5b, 38, find the optimal solution, so that 1000a 1300b is maximum.

Take a=6b = 5 up to 12500

d12500

From the conditions, 4a 3b 402a, 5b, 38, find the optimal solution, so that 1000a 1300b is maximum.

Take a=6b = 5 up to 12500

Let's explain it to you like this, I hope you will give it to me after you understand, first consider the difference between 2 numbers 39-21=18 Then this number is the difference caused by the book you read wrong, if the ten digits of ** are x and the single digit is y

Then 10x+y-(10y+x)=18

9x-9y=18

x-y=2x, the possible value of y can't be 0 in the first place, because 0 doesn't make sense in the first place, and then consider the numbers 3 and 1, 4 and 2 and later.

If you look at the total price of 39, so there is no such possibility as 42, then x and y can only take 3 and 1, so the ** of the book is 31 and the magazine is 8

You mistake it for 13 and 8

39-21 = After the book pricing is reversed, the difference between the two.

The difference is 18, so the book is priced at $31.

The magazine is 39-31 or 21-13 and gets 8 yuan.

So, a book is 31-8=23 yuan more expensive than a magazine.

Since you have believed me, then I will explain to you in detail each, first of all, I must be sure that the answer on the 1st floor is correct, but it is estimated that it is not so easy to understand, I will tell you in another way, and at the same time remind you that I give you a complete solution idea, but you take the civil service exam, it is best to exercise divergent thinking, similar to the 1st floor to guess, otherwise it is too late, I only scored 74 points in the exam.

The first question, the product of 3 numbers is 3960, because this is an extreme value problem, because C is the least, and at the same time to ensure that B is as much as possible, then C takes the minimum value of two digits is 10, and then look, the sum of 3 numbers is an even number, and C is also an even number, then the two numbers A and B must be the same product or the same even, first consider the same product, we have all learned, such an equation can be set to 2x+1 when setting an unknown quantity, which is what we call A, and 2y+1 is what we say B Multiplying 2 numbers equals 396

2x+1)*(2y+1)=396

2xy+2(x+y)+1=396

xy+x+y=395/2

In this way, it can be seen that the number of books must be whole numbers, so it is not possible to have the same product of 2 numbers (you can set it to 2x-1 for the same reason).

Consider homoduality. 2x*2y=396

x*y=99 xy are 11 and 8, respectively

Because A is more than B, A is 11*2=22 and B is 9+8=18

Question 2: The answer on the first floor may confuse you, so I'll type it out one by one according to the details of my problem-solving process.

First of all, let's consider that if we have only read 1 or 2 books, we will use 125-24-20 = 81 people, right?

Next, we consider that we have only read A or have seen A and one other (that is, we have seen two books including A) = 89-24 = 65

In the same way, I have only seen B or I have seen B and one other = 47-24 = 23

In the same way, only C has been seen, or C and one other = 63-24 = 39

Next, let's assume that the people who have read 2 books are x people, and we call the person who has only read A, and we call him A, and the same goes for B and C.

A + B + C + x = 81

A + B + C + 2x = 65 + 23 + 39127 (because if you have read A and B in 2 copies, then we have seen two copies of B in B, and we have just seen B and A, we have considered it once, so we multiply by 2).

This gives x=46

Question 3: First of all, it is necessary to make sure that the speed of the car crossing the two bridges is the same, (when the car crosses the bridge, it is calculated by taking the front bridge of the car until the parking space gets off the bridge), then the speed used to cross the first bridge is (250 + car length) 25 The speed of crossing the B bridge is (210 + the car length) 23 The car length is 250 and the speed is 20

Add 1 point, and give more points next time

1. Answer: 18,3960 = 2 * 5 * 11 * 3 * 3 * 2 * 2, in which the smallest 2 digits that can be composed is 10, that is, C, and the combination of the rest of the numbers makes B the largest and not greater than the number of A is 18, so A is 22, and the addition is just an even number.

2. Answer: 46,89+47+63-(125-20)-2*24=equal to only one plus two of the two plus 3, that -(125-20)-2*24 is equivalent to subtracting the more.

3. Answer, 20 meters per second, set the length of the car x, (250 + x) 25 = (210 + x) 23, the length of the car is 250 meters, the speed is equal to 250 plus 250 divided by 25, equal to 20 meters per second.

After reading the answers of the above two friends, it can only be said that it is done right, but it is quite cumbersome, and I don't believe that it can be compared:

C is the least, then C takes 10,3960 10 396,19< 396<20, to make B as large as possible, then B is closer to 396 the better, then B takes the maximum 3*3*2=18, A = 396 18=22, verify that it meets the topic

2) Draw a Wayne diagram and it will be solved, so I won't repeat it.

3)(250-210)/(25-23)=20m/s

Hello, the Zhongzheng Xing Test and the Zhongzheng Shen Essay preparation platform will answer for you!

From "the number of people in the first department is one-third of the number of people in the other two departments", it can be seen that if will.

The sum of the number of people in the second and third departments is divided into 3 parts, the first department is exactly equal to 1 share, then the three departments have a total of 4 parts, and it can be obtained: the first department accounts for 1 (1 + 3) = 1 4 in the total number of people, in the same way, the second department accounts for 1 6 in the total, then, the third department accounts for the proportion of the total = 1-1 4-1 6 = 7 12, corresponding to 35 people, then the total number = 35 (7 12) = 60 people, the first department = 60 4 = 15, the second department = 60 6 = 10, the difference is 5 people, answer b.

D. Solution: Set up production. aProducts.

x pieces, production. bProducts.

y pieces. Column equation: 4x 3y 40

2x＋5y＝38

Solution. y＝36÷7≈5

At this time, the remaining material (raw material A.

kg, B. liters) can also be produced. aProducts.

Item. So the maximum profit that can be obtained is.

There are x people in the first department and y people in the second department.

Then x=1 3 (y 35).

y=1/5×（x＋35）

x=15 . y=10 .So choose B5 people.

，1，1，2，4，5，（9）

That is, the first two terms are added and then -1, 0, 1 are added in turn, which equals the third term, 7, 21, 51, 103, (183).

3 and 7 are worse than 4, 7 and 21 are worse than 14, 21 and 51 are worse than 30, 51 and 103 are worse than 52

And 4 and 14 are 10 different, 14 and 30 are 16, and 30 and 52 are 22 different

10,16,22 form an equal difference series, and the latter number can be deduced as 28,52+28=80, that is, 103 and the latter term difference 80, which is 183,17,35,61,115,(195).

9 and 17 are 8, 35 and 17 are 18, 61 and 35 are 26, 115 and 61 are 54

And 9 + 17 = 26, 18 + 26 = 54, 26 + 54 = 80, that is, the difference between 115 and the latter term is 80, which is 195, 14, 17, 21, 27, (28).

Looking at the characteristics of the next item, 7 is the first item. 7, 17, and 27 are equal difference series, and 7, 14, and 21 are equal difference series.

Think of this for now.

Question 3 The answer is 195

Let's see for yourself how to solve the problem.

Dizzy, I refreshed it n times when I registered, and finally found one that can be searched on the Internet, quack.

Question 8 will do, 3 -1 = 8, 1 2-8 = -7, therefore, 8 2-(-7) = 71.

There is also question 4, you should choose 28, because 2*7=14, 3*7=21, so 4*7=28.

In the second question, subtract the number of the original series from the previous number to get 4, 14, 30, and 52;Subtract the previous one to get a series of 10, 16, 22, and equal differences.

Question 3 agrees with guojian666's answer.

Question 7 is also made: 7+9=16,9+(-1)=8,(-1)+5=4,5+x=2, so x=-3.

5 people were selected from 11 people, and there were c5·11 = 462 selection methods.

Except for all the girls, there will be "at least one boy". And all the girls who choose have c5·6=6 options.

Therefore, there are a total of 462-6=456 options that match the topic.

If 5 out of 11 people are selected, there are a total of C511 462 methods, of which all are girls, and there are 6 methods, then at least 1 boy should have 462-6 456 methods.

This is a combination question, and the answer is 462-6=456

Permutations and combinations of questions. There are C115 ways to choose 5 people from the total number of people, and there are C65 ways to select only girls from the total number of people. i.e. C115-C65. (Sorry, I won't lose the number of combinations.) The 11 after c is the subscript and 5 is the superscript).

Borrow 120,000 yuan at an annual interest rate of 5% and repay it in two years.

First, figure out how much money he will have to pay back.

In the first year, the interest generated by this 12w is 12*5%=10,000 yuan.

The interest of the second year will be added to the interest of the first year, which is 10,000 yuan, so the interest = 10,000 yuan.

The total interest generated in two years is 10,000 + current period = 10,000 yuan.

Therefore, at the end of each year, 10,000 yuan will be re

This kind of question is not troublesome, but the algorithm is completely different if there is one objection in the question stem. You're welcome!

p(1+5%) n=f,f=a[(1+5%) n-1] 5% (f is the future value, p is the initial value, a is the value returned at the end of each year).

f=12（1+5%）^2=

a(, get a=

Solution: The sum of principal and interest at maturity in two years is 12 (1+5%) million yuan. So x is about 10,000 yuan.

Let the full length of the dan be quietly x, and the Zen delay and sleepiness will be repaired x 15km per day, then the equation can be listed by the known:

He Nian x 15+150)*9 2=3x 4;

The solution is x=1500km

9 2 days to complete 3 4

That is, the joint repair was completed in 6 days, and the debate and dismantling with the jujube were all completed.

A 1 15 B 1 6-1 Pat nucleus 15 = 1 10