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1、。1.How many such numbers in 1-100 that when divided by 5 the remainder is 3, and divided by 6 the remainder is 2?A: 2B: 3C: 4D: 5E: 62.n 2Quantity AQuantity BThe standard deviation of 2,2,2,nThe standard deviation of 2,n,n,nA: Quantity A is greater.B: Quantity B is greater.C: The two quantities are

2、equal.D: The relationship cannot be determined from the information given.3.What is the 57 digit to the right of the decimal point of?A: 2B: 8C: 5D: 7E: 14.CD = 6, point A lies on line CD, point B is not on line CD, where 1 AB 2, what s the range of area of triangle BCD?A: 3B: 4C: 5D: 6E: 8精選資料,歡迎下載

3、。5.Triangle ABC has an acute angle C, AC=3, BC=4,whats the value range of line AB?A: 1B: 2C: 3D: 4E: 56.A man walks from point A to point B on the rectangular grids shown. He could onlychoose to walk north or east at any corner, what sthe probability of choosing a path via point C?A:B:C:D:E:7.,where

4、 a and b are both integers, what is the possible value of a+b ?A: 9B: 12C: 15D: 17E: 29F: 100G: 106H: 1098.k is an odd integer which is greater than 100, d is a divisor other than kitselfQuantity AQuantity B精選資料,歡迎下載。dA: Quantity A is greater.B: Quantity B is greater.C: The two quantities are equal.

5、D: The relationship cannot be determined from the information given.9.There are 30 pencils in 5 different colors, 6 pencils in each color, how many pencils we need to pick to guarantee that every color has at least 2 pencils?A: 24B: 25C: 26D: 27E: 2810.A 10-day long course, in the analysis of attend

6、ance for three students : A attended for 8 days, B attended for 7 days, C attended for 6 days, among which only 1 day all of them attended. How many days at least two students attended?A: 6B: 7C: 8D: 9E: 1011.S=1,2,3,4,6,T=1,2,3,6,8,pickone number from each set separately,how manydifferent possible

7、product of the two selected numbers ?A: 10B: 11C: 12D: 13E: 1412.Randomly select a number from 1-1000, what is the probability that none of the digit would be 6 in this number?A:B:精選資料,歡迎下載。C:D:E:13.Line l intersected with two parallel lines m and n.Quantity AQuantity BNumber of points which is at e

8、qualdistance to three lines3A: Quantity A is greater.B: Quantity B is greater.C: The two quantities are equal.D: The relationship cannot be determined from the information given.14.m,n are both integers,m isa factorof, how many pairsof (m, n) that?A: ZeroB: OneC: ThreeD: FourE: Six15.S=357889101112,

9、T=3579101112Quantity AQuantity BThe standard deviation of Set SThe standard deviation of Set TA: Quantity A is greater.B: Quantity B is greater.C: The two quantities are equal.D: The relationship cannot be determined from the information given.16.A four-digit number 7a6b, a, b are both integers, wha

10、tsthe probability thatthis number would be divided by 4? _17.The probability of A is 60% and the probability of B is 50%, what is the most possible probability that neither A nor B would happen?A: 0.80B: 0.40精選資料,歡迎下載。C: 0.75D: 0.55E: 0.6818.If Bob can do a job in 20 days and Jane can do the job in

11、30 days, they work together to do this job and in this period, Bob stop work for 2.5 days and Jane stop workfor x days, and the job be finished for 14 days, what is x?A: 1.6B: 3.2C: 1.5D: 1.25E: 1.1519.In an insurance company, each policy has a paper record and anelectric record.For those policies h

12、aving incorrect paper record, 60%also having incorrect electric record; For policies having incorrect electric record, 75% also having incorrect paper record.3% of all policies have both incorrect paper and incorrect electricrecords. If we randomly pick out one policy, whats the probability that the

13、 onehaving both correct paper and correct electric records?A: 0.80B: 0.94C: 0.75D: 0.88E: 0.9220.Two librarians,Robert and Patricia,cataloged a combined total of180 new books,each of which was cataloged by only one of the two librarians. Although they spentthe same amount oftime cataloging theirbook

14、s, Robert spent an averageof 15 minutesper book whereas Patricia spent an average of 12 minutes per book.Quantity AQuantity BThe number of books cataloged by Robert60A: Quantity A is greater.B: Quantity B is greater.C: The two quantities are equal.D: The relationship cannot be determined from the in

15、formation given.21.The unit price of commodity X is $21.94, for every order on commodity X, a taxof $20 would be imposed on the buyer. Some buyer has made n orders on commodity X,with the standard deviation of 5 on number of commodities in every order. What s the standard deviation of the total pric

16、e he/she paid for every order?精選資料,歡迎下載。A: 5B: 21.94C: 43.88D: 109.7E: 2522.There is a 3*3 table, we need to fill it with three different numbers, A, B and C. There should not be two identical numbers in either each row or each column. How many different methods are available?A: 6B: 8C: 10D: 12E: 16

17、23. Hal has 4 girl friends and 5 boy friends. In how many different ways can Hal invite 2 girls and 2 boys to his birthday party?A. 54B. 60C. 72D. 120E. 24024. An office has 6 employees; there are 5 female employees and 1 male employee. In how many ways can a 3-person committee be created if the com

18、mittee must include the male employee?A. 10B. 12C. 15D. 24E. 3025. Joan has 100 candies to distribute among 10 children. If each child精選資料,歡迎下載。receives at least 1 candy and no two children receive the same number of candies, what is the maximum number of candies that a child can receive?A. 10B. 34C

19、. 39D. 45E. 5526. From a group of 8 people, it is possible to create exactly 56 different k-person committees. Which of the following could be the value of k ?Indicate all such values.A. 1B. 2C. 3D. 4E. 5F. 6G. 727. How many 4-digit numbers begin with an even digit and end with an odd digit?A 250B 5

20、00C 2,000D 2,500E 5,00028. How many positive integers can be expressed as a product of two or more of the prime numbers 5,7,11 , and 13 if no one product is to include the same prime factormore than once?A EightB nineC TenD ElevenE Twelve29. N equals the number of positive 3-digit numbers that conta

21、in odd digits only.Quantity ANQuantity B125A. Quantity A is greater.精選資料,歡迎下載。B. Quantity B is greater.C. The two quantities are equal.D. The relationship cannot be determined from the information given.Quantity ANumber of different triangles possible using the given points as vertices.Quantity B42A

22、. Quantity A is greater.B . Quantity B is greater.C. The two quantities are equal.D. The relationship cannot be determined from the information given.31. What percentof the integersbetween 100 and 999,inclusive,have allthreedigitsthe same?A 1%B 2%C 3%D 4%E 5%32. Of the 20 lightbulbs in a box, 2 are

23、defective. An inspector will select 2lightbulbs simultaneously and at random from the box. What is the probability that neither of the lightbulbs selected will be defective? Give your answer as a fraction.33. For a certain probability experiment, the probability that event A will occur is 1/2 and th

24、e probability that event B will occur is 1/3. Which of the followingvalues could be the probability that the event A B (that is, the event A or B, orboth) will occur?Indicate all such values.A.1/3B.1/2C.3/4精選資料,歡迎下載。34. A and B are independent events, and the probability that both events occur is 1/

25、2. Which of the following could be the probability that event A occurs?Indicate all such probabilities.A. 0B. 1/4C. 1/2D. 3/4E. 135. In a certain state, eachlicenseplateconsistsof either threedigits (between0 and 9, inclusive)followedby twolettersorthreelettersfollowedby two digits.For example, 055-

26、XY,123-PP,and AAA-70 are allacceptableplates. Howmany differentlicense plates can the state issue?36. A positive integer is a palindrome if it reads exactly the same from right toleft as it does from left to right. For example, 5 and 66 and 373 are all palindromes. How many palindromes are there bet

27、ween 1 and 1,000, inclusive?37. A box contains 10 balls numbered from 1 to 10 inclusive. If Ann removes a ball at random and replaces it, and then Jane removes a ball at random, what is the probability that both women removed the same ball?A. 1/100B. 1/90C. 1/45D. 1/10E. 41/4538. A: 71,73,79,83,87 B: 57,59,61,67If one number is selected at random from set A, and one number is selected at random from set B, what is the probability that both numbers are prime?A. 9/20B. 3/5C. 3/4D. 4/5E. 1精選資料,歡迎下載。39. A b

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