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Seeking answers to several math problems in civil service examination. Find a simple and quick solution. Thank you!
1/ A grocery store bought six boxes of food a day, including biscuits and bread, weighing 8, 9, 16, 20, 22 and 27 kg respectively. The store only sold one box of bread that day, and the biscuits in the other five boxes were twice as heavy as bread, so the grocery store bought () kilograms of bread that day.

44 B .45 C . 50 D .52

In the title, "The weight of the remaining five boxes of biscuits is twice that of bread", that is, if the weight of bread is X at this time, the weight of biscuits will be 2x, that is, the total weight of these five boxes of biscuits can be divisible by 3, that is, 8+9+16+20+22+27 =102 minus a number can be divisible by 3, which is different from 9 and 27.

(102-9)/3=3 1, you cannot add this number.

(102-27)/3=25, that is, (9+ 16)*2=8+20+22.

2/ Xiaoming and Xiao Qiang took the same exam. If Xiaoming answers 3/4 of the total questions correctly. Xiao Qiang answered 27 questions correctly, and both of them answered 2/3 of the total questions correctly, so both of them answered correctly.

A.3, B. 4, C. 5 and D.6.

In the questions, "If Xiao Ming answers correctly, the number of questions accounts for 3/4 of the total number of questions" and "Both of them answer correctly, and the number of questions accounts for 2/3 of the total number of questions", which means that the total number of questions must be divisible by 12, and the total number of questions is 27+ Xiao Qiang's wrong answer X.

Later, I began to guess: because the number of questions is greater than 27 and can be divisible by 12, I assumed that the number of questions is 36, so Xiao Ming got 27 right, and neither of them got 36-(27+27-24)=6. If the number of questions is 48, then 48 * 2/3 = 32 is greater than 27, which is wrong.

3/ Divide the cards of 144 into several boxes, each box is between 10 and 40 cards, so * * * has () differences.

A .4 B .5 C .6 D .7

144=2*2*2*2*3*3

Then the divisor of 144 is 2, 4, 8, 16, 3, 6, 12, 24, 48, 9, 18, 36, 72, where 16 is greater than/

There were 7,650 graduates in 2006, an increase of 2% over the previous year. Among them, undergraduate graduates decreased by 2% compared with the previous year, and graduate graduates increased by 10% compared with the previous year. So, this year's undergraduate graduates of this university are:

A.3920 B.44 10 C.4900 D.5490

In the title, "The number of undergraduate graduates decreased by 2% compared with last year, while the number of graduate students increased by 10%", then the number of undergraduate students can be divisible by 0.98 and the number of graduate students can be divisible by 1. 1.

Try putting the answer in. It should be C.

5. The school held the China Chess Competition, in which 65,438+00 students participated. The competition adopts a single round robin system, and each student has to play a game with nine other students. According to the rules of the game, the winner of each game gets 2 points, the loser gets 0 points and the draw gets L points. After the game, 10' s students got different grades. As we all know:

(1) The first and second place in the competition have never lost a game;

(2) The total score of the top two is 20 points more than that of the third;

(3) The fourth place is equal to the sum of the last four places.

So, the score of the fifth classmate is:

A.8 points B. 9 points C. 10 points D. 1 1 points.

Because the first and second place didn't lose, and the scores were different, it was a draw. If the runner-up is 17, the third runner-up is 16, and the third runner-up is 13.

"The winner of each game gets 2 points, the loser gets 0 points, and the draw gets L points", that is, each game generates 2 points, and1* * plays C2//kloc-0 = 45 games (hehe, you can't play) * * will count as 45*2=90 points.

Suppose the fourth place scored 12, and the fifth and sixth places scored 90-17-16-13-12 = 20. Because of different grades, I got 65438+.

If we assume that the first place 17 points, the second place 15 points, and five or six people ***24 points, it is definitely wrong.