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When 2(10100 ) + 1 is divided by 3, the remainder is r.
r
1
当前版本由354261qil更新于2024-06-24 17:57:54 感谢由354261qil对此题目的解答所做出的贡献。
判断一个整数被3除的余数,只需要把各个数位加起来后除以3算余数即可。这个数虽然很大,但是各个数位之和是3,因此这个数可以被3整除,r=0。
[数学 ]【新版】冲分救命题 -12162
Several teams will play in a tournament. Each game in the tournament will be played by two teams, where one team will win or the teams will tie. Each team will earn 3 points for each win, 1 point for each tie, and 0 points for each loss. If a team plays only four games in the tournament, which of the following could be the total number of points that the team will earn in the tournament? Indicate all such numbers.
[数学 ]【新版】冲分救命题 -12161
Each of 12 books on a shelf has a single classification as Mathematics, Science, or English. At least 1book is classified as Mathematics, at least 3 books are classified as Science, and at least 3 books are classified as English. There are an odd number of books classified as Science and an odd number of books classified as English. Which of the flowing could be the number of books classified as Mathematics? Indicate all such numbers.
[数学 ]【新版】冲分救命题 -12160
In a certain university, 60 percent of all sophomores are liberal arts majors, 24 percent are education majors, and the rest are majoring in other areas or have not yet chosen a major. At the university, 55 percent of all sophomores are currently taking a psychology course. If x percent of all sophomores are liberal arts majors who are currently taking a psychology course, what is the least possible value of x?
[数学 ]【新版】冲分救命题 -12159
The 1,200 seniors at a certain college, one-quarter live on campus and the rest live off campus. Three-quarters of the seniors at college own a car. Which of the following statements must be true?
[数学 ]【新版】冲分救命题 -12158
A survey conducted by the department of motor vehicles on a sample of 200 car owners revealed that 15 percent of the sample had an expired driver's license, 10 percent had one or more outstanding parking tickets, and 78 percent had neither an expired driver's license nor any outstanding parking tickets. How many car owners in the sample had both an expired driver's license and on or more outstanding parking tickets?
[数学 ]【新版】冲分救命题 -12157
The probability that event A will occur is 0.8, and the probability that event B will occurs is 0.6. If x is the probability that events A and B will both occur, which of the following must be true?
[数学 ]【新版】冲分救命题 -12156
The number of elements in set A is 60 percent greater than the number of elements in set B, and the number of elements in the set A∩B is 15. If set B contains at least one element that is not in set A, what is the least possible number of elements in the set A∪B?
[数学 ]【新版】冲分救命题 -12155
Percent of households with Selected Appliances,1980
[数学 ]【新版】冲分救命题 -12154
At Company X last year, 25 percent of all of the employee were promoted on June 1. Of those employees who were promoted on June 1 last year, 80 percent had been with the company for 10 years or more.
[数学 ]【新版】冲分救命题 -12153
A certain museum contains a total of 1,500 works of art, of which 800 are paintings. Of the twentieth century works of art in the museum,40 percent are paintings. Of the works of art that are not paintings, 490 are not twentieth-century works of art. How many twentieth-century works of art does the museum contain?
[数学 ]【新版】冲分救命题 -12152
Bruce, Carlos, Debbie, and Esther are to be seated in four adjacent chairs arranged in a row. If Debbie and Esther are to be seated next to each other, how many different seating arrangements are possible?
[数学 ]【新版】冲分救命题 -12151
The odds against the occurrence of an event are defined to be the ratio of the probability that the event will not occur to the probability that the event will occur. An integer is to be selected at random from the set of integers from k to n, where k
[数学 ]【新版】冲分救命题 -12150
Fred's suitcase contains 4 shirts,3 pair of pants, and 2 pairs of shoes. A matching outfit consists of any shirts, any pair of pants, and a pair of shoes, except that one of the shirt does not match one of the pairs of pants. How many matching outfits can be selected from Fred's suitcase?
[数学 ]【新版】冲分救命题 -12149
Set K consists of 9 positive integers, 5 of which are prime numbers. How many subsets of K consist of 3 integers such that 2 integers are prime numbers and 1 integer is not a prime number?
[数学 ]【新版】冲分救命题 -12148
In a survey of educators, 40 percent reported that they used the Internet for research. Also in the survey, 65 percent reported that they used the Internet for E-mail.
[数学 ]【新版】冲分救命题 -12147
List S consists of 10 positive numbers. The range of the numbers in S is 124. Each of the numbers in S will be increased by x percent, where x>0. List T consists of the 10 resulting numbers.
[数学 ]【新版】冲分救命题 -12146
In a university, a certain committee consists of 6 faculty members,4 administrators and 3 students. A subcommittee of 5 members will be selected from the committee. Professor Smith, who is one of the 6 faculty members, and Ms.Wilson, who is one of the 4 administrators must be on the subcommittee. The other 3 subcommittee members will be selected at random from the rest of the committee. How many different 5-member subcommittees can be selected?
[数学 ]【新版】冲分救命题 -12145
A bag contains 6 balls of which 2 are red and 4 are green. If 2 balls are to be chosen at random one after the other, without replacement. What is the probability that the second ball chosen will be red?
[数学 ]【新版】冲分救命题 -12144
Nine dots are arranged in two rows, with five in one row and four in another. How many triangles can be formed with these dots in total?
[数学 ]【新版】冲分救命题 -12143
If two different numbers are selected at random from the numbers1,2,3,4 and 5, what is the probability that their product will be odd?
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