【考研类试卷】工商管理硕士入学考试-算术及答案解析.doc

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1、工商管理硕士入学考试-算术及答案解析(总分：670.00，做题时间：90 分钟)一、单项选择题(总题数：134，分数：670.00)1.The positive integer n is divisible by 25. If is greater than 25, which of the following could be the value of （分数：5.00）A.B.C.D.E.2.A computer is programmed to generate a list of multiples of prime numbers 2,3 and 5, as shown below:

2、Program 1List multiples of 2 Program 2List multiples of 3 Program 3List multiples of 5 How many integers less than 100 will appear on all of the lists of programs produced above?（分数：5.00）A.NoneB.1C.3D.5E.(E) An infinite number of integers3.What is the units digit of (13)4(17)2(29)3?（分数：5.00）A.9B.7C.

3、5D.3E.(E) 14.If a, b, and c are integers, is the number 3 (a+b)-c divisible by 3?(1)a+b is divisible by 3.(2)c is divisible by 3.（分数：5.00）A.条件(1)充分，但条件(2)不充分B.条件(2)充分，但条件(1)不充分C.条件(1)和(2)单独都不充分，但条件(1)和条件(2)联合起来充分D.条件(1)充分，条件(2)也充分E.(E) 条件(1)和条件(2)单独都不充分，条件(1)和条件(2)联合起来也不充分5.If X and Y are sets of in

4、tegers, XY denotes the set of integers that belong to set X or set Y, but not both. If X consists of 10 integers, Y consists of 18 integers，and 6 of the integers are in both X and Y, then XY consists of how many integers?（分数：5.00）A.6B.16C.22D.30E.(E) 1746.Of the following sums, which is greatest?（分数

5、：5.00）A.B.C.D.E.7.How many positive integers k are there such that 100k is a factor of (22)(3)(53)?（分数：5.00）A.NoneB.OneC.TWOD.ThreeE.(E) Four8.If n is a positive integer and k=5.110n, what is the value of k?(1)6,000k500,000(2)k2=2.601109（分数：5.00）A.条件(1)充分，但条件(2)不充分B.条件(2)充分，但条件(1)不充分C.条件(1)和(2)单独都不充

6、分，但条件(1)和条件(2)联合起来充分D.条件(1)充分，条件(2)也充分E.(E) 条件(1)和条件(2)单独都不充分，条件(1)和条件(2)联合起来也不充分9.Raffle tickets numbered consecutively from 101 through 350 are placed in a box. What is the probability that a ticket selected at random will have a number with a hundreds digit of 2?（分数：5.00）A.B.C.D.E.10.Is n an inte

7、ger?(1)n2is an integer.(2) （分数：5.00）A.B.C.D.E.11.If n is an integer, is an integer?(1) is an integer.(2) （分数：5.00）A.B.C.D.E.12.How many of the integers between 25 and 45 are even?（分数：5.00）A.21B.20C.11D.10E.(E) 913.Ben and Ann are among 7 contestants from which 4 semifinalists are to be selected. Of

8、the different possible selections, how many contain neither Ben nor Ann?（分数：5.00）A.5B.6C.7D.14E.(E) 2114.In an office, 40 percent of the workers have at least 5 years of service, and a total of 16 workers have at least 10 years of service. If 90 percent of the workers have fewer than 10 years of ser

9、vice, how many of the workers have at least 5 but fewer than 1 0 years of service?（分数：5.00）A.48B.64C.80D.144E.(E) 16015.How many integers between 324,700 and 458,600 have tens digit 1 and units digit 3?（分数：5.00）A.10,300B.10,030C.1,353D.1,352E.(E) 1,33916.Is a+b+C+d equal to 4?(1)a, b, c, and d are e

10、ach positive.(2)The product abcd equals 1.（分数：5.00）A.条件(1)充分，但条件(2)不充分B.条件(2)充分，但条件(1)不充分C.条件(1)和(2)单独都不充分，但条件(1)和条件(2)联合起来充分D.条件(1)充分，条件(2)也充分E.(E) 条件(1)和条件(2)单独都不充分，条件(1)和条件(2)联合起来也不充分17.If x and y are prime numbers, which of the following CANNOT be the sum of x and y?（分数：5.00）A.5B.9C.13D.16E.(E)

11、2318.If 75 percent of a class answered the first question on a certain test correctly, 55 percent answered the second question on the test correctly, and 20 percent answered neither of the questions correctly, what percent answered both correctly?（分数：5.00）A.10%B.20%C.30%D.50%E.(E) 65%19.What is the

12、value of the two-digit num-ber x?(1)The sum of the two digits is 4.(2)The difference between the two digits is 2.（分数：5.00）A.条件(1)充分，但条件(2)不充分B.条件(2)充分，但条件(1)不充分C.条件(1)和(2)单独都不充分，但条件(1)和条件(2)联合起来充分D.条件(1)充分，条件(2)也充分E.(E) 条件(1)和条件(2)单独都不充分，条件(1)和条件(2)联合起来也不充分20.If x is an integer, is(x+p)(x+q)an even

13、integer?(1)q is an even integer.(2)p is an even integer.（分数：5.00）A.条件(1)充分，但条件(2)不充分B.条件(2)充分，但条件(1)不充分C.条件(1)和(2)单独都不充分，但条件(1)和条件(2)联合起来充分D.条件(1)充分，条件(2)也充分E.(E) 条件(1)和条件(2)单独都不充分，条件(1)和条件(2)联合起来也不充分21.For any positive integer n, n1, the “length“ of n is the number of positive primes (not necessari

14、ly distinct) whose product is n. For example, the length of 50 is 3 since 50=(2)(5)(5)Which of the following integers has length 3?（分数：5.00）A.3B.15C.60D.64E.(E) 10522.A certain alloy contains only lead, copper, and tin. How many pounds of tin are contained in 56 pounds of the alloy?(1)By weight the

15、alloy is lead and （分数：5.00）A.B.C.D.E.23.What is the least positive integer that is divisible by each of the integers 1 through 7, inclusive?（分数：5.00）A.420B.840C.1,260D.2,520E.(E) 5,04024.In how many arrangements can a teacher seat 3 girls and 3 boys in a row of 6 seats if the boys are to have the fi

16、rst, third, and fifth seats?（分数：5.00）A.6B.9C.12D.36E.(E) 72025.Set S consists of n distinct positive integers, none of which is greater than 12. What is the greatest possible value of n if no two integers in S have a common factor greater than 1?（分数：5.00）A.4B.5C.6D.7E.(E) 1126.Any decimal that has o

17、nly a finite number of nonzero digits is a terminating decimal. For example, 24, 0.82, and 5.096 are three terminating decimals. If r and s are positive integers and the ratio is expressed as a decimal, is （分数：5.00）A.B.C.D.E.27.Is the integer n a multiple of 140?(1) n is a multiple of 10.(2) n is a

18、multiple of 14.（分数：5.00）A.条件(1)充分，但条件(2)不充分B.条件(2)充分，但条件(1)不充分C.条件(1)和(2)单独都不充分，但条件(1)和条件(2)联合起来充分D.条件(1)充分，条件(2)也充分E.(E) 条件(1)和条件(2)单独都不充分，条件(1)和条件(2)联合起来也不充分28.If n is an integer, which of the following CANNOT be a factor of 3n+4?（分数：5.00）A.4B.5C.6D.7E.(E) 829.If n is a positive integer, is the va

19、lue of b-a at least twice the value of 3n-2n?(1)a=2n+1 and b=3n+1(2)n=3（分数：5.00）A.条件(1)充分，但条件(2)不充分B.条件(2)充分，但条件(1)不充分C.条件(1)和(2)单独都不充分，但条件(1)和条件(2)联合起来充分D.条件(1)充分，条件(2)也充分E.(E)条件(1)和条件(2)单独都不充分，条件(1)和条件(2)联合起来也不充分30.If n is an integer between 2 and 100 and if n is also the square of an integer, wha

20、t is the value of n?(1)n is the cube of an integer.(2)n is even.（分数：5.00）A.条件(1)充分，但条件(2)不充分B.条件(2)充分，但条件(1)不充分C.条件(1)和(2)单独都不充分，但条件(1)和条件(2)联合起来充分D.条件(1)充分，条件(2)也充分E.(E) 条件(1)和条件(2)单独都不充分，条件(1)和条件(2)联合起来也不充分31.It each of the following fractions were written as a repeating decimal, which would have

21、the longest sequence of different digits?（分数：5.00）A.B.C.D.E.32.The average (arithmetic mean) of 3 different positive integers is 100 and the largest of these 3 integers is 120, what is the least possible value of the smallest of these 3 integers?（分数：5.00）A.1B.10C.61D.71E.(E) 8033.If r=23527 and s=22

22、325, which of the following is equal to the greatest common divisor of r and s?（分数：5.00）A.25B.225C.2352D.2357E.(E) 233252734.If Carmen had 12 more tapes, she would have twice as many tapes as Rafael. Does Carmen have fewer tapes than Rafael?(1)Rafael has more than 5 tapes.(2)Carmen has fewer than 12

23、 tapes.（分数：5.00）A.条件(1)充分，但条件(2)不充分B.条件(2)充分，但条件(1)不充分C.条件(1)和(2)单独都不充分，但条件(1)和条件(2)联合起来充分D.条件(1)充分，条件(2)也充分E.(E) 条件(1)和条件(2)单独都不充分，条件(1)和条件(2)联合起来也不充分35.If an integer n is divisible by both 6 and 8, then it must also be divisible by which of the following?（分数：5.00）A.10B.12C.14D.16E.(E) 1836. （分数：5.

24、00）A.B.C.D.E.37.What fractional part of the total surface area of cube C is red?(1)Each of 3 faces of c is exactly （分数：5.00）A.B.C.D.E.38.If the average (arithmetic mean) of 5 positive temperatures is 32 degrees Fahrenheit, then the sum of the 3 greatest of these temperatures, in degrees Fahrenheit,

25、could be（分数：5.00）A.B.C.D.E.39.If n=p+r, where n, p, and r are positive integers and n is odd, does p equal 2?(1)p and r are prime numbers.(2)r2（分数：5.00）A.条件(1)充分，但条件(2)不充分B.条件(2)充分，但条件(1)不充分C.条件(1)和(2)单独都不充分，但条件(1)和条件(2)联合起来充分D.条件(1)充分，条件(2)也充分E.(E) 条件(1)和条件(2)单独都不充分，条件(1)和条件(2)联合起来也不充分40.Each of th

26、e integers from 0 to 9, inclusive, is written on a separate slip of blank paper and the ten slips are dropped into a hat. If the slips are then drawn one at a time without replacement, how many must be drawn to ensure that the numbers on two of the slips drawn will have a sum of 10?（分数：5.00）A.ThreeB

27、.FourC.FiveD.SixE.(E) Seven41.What is the least number of digits (including repetitions) needed to express 10100 in decimal notation?（分数：5.00）A.4B.100C.101D.1,000E.(E) 1,00142.Which of the following procedures is always equivalent to adding 5 given numbers and then dividing the sum by 5? Multiplying

28、 the 5 numbers and then finding the 5 th root of the product. Adding the 5 numbers, doubling the sum, and then moving the decimal point one place to the left. Ordering the 5 numbers numerically and then selecting the middle number.（分数：5.00）A.NoneB.onlyC.onlyD.onlyE.(E) and43.For any integer n greate

29、r than 1, denotes the product of all the integers from 1 to n, inclusive. How many prime nunbers are there between and （分数：5.00）A.B.C.D.E.44.If a is a positive integer, and if the units digit of a2 is 9 and the units digit of (a+1)2 is 4, what is the units digit of (a+2)2?（分数：5.00）A.1B.3C.5D.7E.(E)

30、945.What is the remainder when the positive integer x is divided by 2?(1)x is an odd integer.(2)x is a multiple of 3.（分数：5.00）A.条件(1)充分，但条件(2)不充分B.条件(2)充分，但条件(1)不充分C.条件(1)和(2)单独都不充分，但条件(1)和条件(2)联合起来充分D.条件(1)充分，条件(2)也充分E.(E) 条件(1)和条件(2)单独都不充分，条件(1)和条件(2)联合起来也不充分46.If 77,777=70, 707+(7.07n), then n（分数

31、：5.00）A.1,000B.100C.10D.E.(E) 47.There are between 100 and 110 cards in a collection of cards. If they are counted out 3 at a tie, there are 2 left over, but if they are counted out 4 at a time, there is 1 left over. How many cards are in the collection?（分数：5.00）A.101B.103C.106D.107E.(E) 10948.If S

32、is the sum of the first n positive integers, what is the value of n?(1)S20(2)S2220（分数：5.00）A.条件(1)充分，但条件(2)不充分B.条件(2)充分，但条件(1)不充分C.条件(1)和(2)单独都不充分，但条件(1)和条件(2)联合起来充分D.条件(1)充分，条件(2)也充分E.(E) 条件(1)和条件(2)单独都不充分，条件(1)和条件(2)联合起来也不充分49.If x and y are integers and xy=5, then (x+y)2=（分数：5.00）A.13B.16C.25D.26

33、E.(E) 3650.How many two-element subsets of 1, 2, 3, 4are there that do not contain the pair of elements 2 and 4?（分数：5.00）_51.If , x, y, and z are non-negative integers, each less than 3, and (3 3)+x(32)+y(3)+z=34，then+z=（分数：5.00）A.0B.1C.2D.3E.(E) 452.Bowls X and Y each contained exactly 2 jelly bean

34、s, each of which was either red or black, One of the jelly beans in bowl X was exchanged with one of the jelly beans in bowl Y. After the exchange, were both of the jelly beans in bowl X black?(1)Before the exchange, bowl X Contained 2 black jelly beans.(2)After the exchange, bowl Y contained 1 jell

35、y bean of each color.（分数：5.00）A.条件(1)充分，但条件(2)不充分B.条件(2)充分，但条件(1)不充分C.条件(1)和(2)单独都不充分，但条件(1)和条件(2)联合起来充分D.条件(1)充分，条件(2)也充分E.(E) 条件(1)和条件(2)单独都不充分，条件(1)和条件(2)联合起来也不充分53. （分数：5.00）A.B.C.D.E.54.A certain packing crate contains between 50 and 60 books. How many books are there in the packing crate?(1)If

36、 the books are counted out by three, there will be one book left over.(2)If the books are counted out by sixes, there will be one book left over.（分数：5.00）A.条件(1)充分，但条件(2)不充分B.条件(2)充分，但条件(1)不充分C.条件(1)和(2)单独都不充分，但条件(1)和条件(2)联合起来充分D.条件(1)充分，条件(2)也充分E.(E) 条件(1)和条件(2)单独都不充分，条件(1)和条件(2)联合起来也不充分55.How many

37、 three-digit numerals begin with a digit that represents a prime number and end with a digit that represents a prime number?（分数：5.00）A.16B.80C.160D.180E.(E) 24056.If p and q are positive integers, what is the value of q?(1)qp-1=1(2)p=1（分数：5.00）A.条件(1)充分，但条件(2)不充分B.条件(2)充分，但条件(1)不充分C.条件(1)和(2)单独都不充分，

38、但条件(1)和条件(2)联合起来充分D.条件(1)充分，条件(2)也充分E.(E) 条件(1)和条件(2)单独都不充分，条件(1)和条件(2)联合起来也不充分57.If k is an integer greater than 44 and less than 51，then which of the following could be the product of 11 and k?（分数：5.00）A.565B.550C.500D.484E.(E) 44058.On a recent trip, Cindy drove her car 290 miles, rounded to the

39、nearest 10 miles, and used 12 gallons of gasoline, rounded to the nearest gallon. The actual number of miles per gallon that Cindys car got on this trip must have been between（分数：5.00）A.B.C.D.E.59.If n is a prime number greater than 3, what is the remainder when n2 is divided by 12?（分数：5.00）A.0B.1C.

40、2D.3E.(E) 560.All of the following have the same number of distinct prime factors EXCEPT（分数：5.00）A.20B.21C.24D.30E.(E) 4561.If x, y, and z are single-digit integers and 100(x)+1,000(y)+10(z)=N, what is the units digit of the number N?（分数：5.00）A.0B.1C.xD.yE.(E) z62. （分数：5.00）A.B.C.D.E.63.CREATE YUUR

41、OWN SUNDAE 12 Ice Cream Flavors 10 Kind of Candies 8 Liquid Toppings 5 Kinds of Toppings With or Without Whipped cream If a customer makes exactly one selection from each of the five categories shown in the table above, what is the greatest possible number of different ice cream sundaes that a custo

42、mer can create?（分数：5.00）A.9,600B.4,800C.2,400D.800E.(E) 40064.If the two-digit integers M and N are positive and have the same digits, but in reverse order, which of the following CANNOT be the sum of M and N?（分数：5.00）A.181B.165C.121D.99E.(E) 4465.If P is a set of integers and 3 is in P, is every po

43、sitive multiple of 3 in P?(1)If x is in P，then x+3 is in P.(2)If x is in p, then x-3 is in p.（分数：5.00）A.条件(1)充分，但条件(2)不充分B.条件(2)充分，但条件(1)不充分C.条件(1)和(2)单独都不充分，但条件(1)和条件(2)联合起来充分D.条件(1)充分，条件(2)也充分E.(E) 条件(1)和条件(2)单独都不充分，条件(1)和条件(2)联合起来也不充分66.If a and b are positive integers, what is the value of a+b?（

44、分数：5.00）A.B.C.D.E.67.When the integer n is divided by 6, the remainder is 3. Which of the following is NOT a multiple of 6?（分数：5.00）A.n-3B.T+3C.2nD.3nE.(E) 4n68.How many people are directors of both Company K and Company R?(1)There were 17 directors present at a joint meeting of the directors of Com

45、pany K and Company R, and no directors were absent, (2)Company K has 12 directors and Company R has 8 directors.（分数：5.00）A.条件(1)充分，但条件(2)不充分B.条件(2)充分，但条件(1)不充分C.条件(1)和(2)单独都不充分，但条件(1)和条件(2)联合起来充分D.条件(1)充分，条件(2)也充分E.(E) 条件(1)和条件(2)单独都不充分，条件(1)和条件(2)联合起来也不充分69.In a certain game, a large container is f

46、illed with red, yellow, green and blue beads worth, respectively, 7, 5, 3, and 2 points each. A number of beads are then removed from the container. If the product of the point values of the removed beads is 147,000, how many red beads were removed?（分数：5.00）A.5B.4C.3D.2E.(E) 070. （分数：5.00）A.B.C.D.E.

47、71.What is the greatest possible length of a positive integer less than 1,000?（分数：5.00）A.10B.9C.8D.7E.(E) 672.If x is the product of three consecutive positive integers, which of the following must be true?. x is an integer multiple of 3. x is an integer multiple of 4. x is an integer multiple of 6.

48、（分数：5.00）A.onlyB.onlyC.and onlyD.and onlyE.(E) , , and 73.If M and N are positive integers that have remainders of 1 and 3, respectively, when divided by 6, which of the following could NOT be a possible value of M+N?（分数：5.00）A.86B.52C.34D.28E.(E) 1074.If the sum of the first n positive integers is

49、S，what is the sum of the first n positive even integers, in terms of S?（分数：5.00）A.B.SC.2SD.2S+2E.(E) 4S75.If S is an infinite set of real numbers, is there a number in S that is less than every other number in S?(1)Every number in S is an integer.(2)Every number in S is positive.（分数：5.00）A.条件(1)充分，但条件(2)不充分B.条件(2)充分，但条件(1)不充分C.条件(1)和(2)单独都不充分，但条件(1)和条件(2)联合起来充分D.条