2021年资格英语考试考前冲刺卷（2）.docx

2021年资格英语考试考前冲刺卷（2）本卷共分为1大题50小题，作答时间为180分钟，总分100分，60分及格。一、单项选择题（共50题，每题2分。每题的备选项中，只有一个最符合题意） 1.How many positive whole numbers less than 81 are NOT equal squares of whole numbers? A. 9 B. 70 C. 71 D. 72 E. 73 2.Seven is equal to how many thirds of seven? A. B. 1 C. 3 D. 7 E. 21 3.How many positive integers less than 20 are equal to the sum of a positive multiple of 3and a positive multiple of 4? A. Two B. Five C. Seven D. Ten E. Nineteen 4. The figure above consists of 2 5 squaresIf the figure were folded along the dotted diagonal to form a flat triangle，then 26minus the number in the square that would coincide with the square containing 26 would be A. 13 B. 14 C. 15 D. 16 E. 17 5.What is the remainder when 63is divided by 8? A. 5 B. 3 C. 2 D. 1 E. 0 6. Which of the following symbols should be substituted for to make both of the statements above true for all integers 77such that -2n3? A. B. C. = D. E. 7.Of the following，which is most nearly equal to ? 8.One month Mary used of her monthly salary for a payment and more than the car payment for rentWhat fraction of her mommy salary did Mary use that month for the car payment and rent combined? 9.For which of the following pairs of integers is the least common multiple of the integers minus their greatest common divisor the greatest? A. 3，12 B. 5，6 C. 10，20 D. 11，12 E. 15，30 10.In a list of numbers，the first number is 3，the second is 4，and each subsequent humber is the sum of all the preceding numbers in the listIf the 20th number in the list is x，what is the 25th number in the list? A. 7x B. 16x C. 32x D. 35x E. 161x 11.Which of the following numbers is both a factor of 48 and a multiple of 6? A. 2 B. 8 C. 12 D. 16 E. 18 12.3×104 is greater than 4×103 by what percent? A. 25% B. 75% C. D. 650% E. 750% 13.If r and 8 are positive integers，each greater than 1，and if 11(s-1)=13(r-1)，what is the least possible value of r+s? A. 2 B. 11 C. 2 D. 24 E. 26 14.The sum of n different positive integers is less than 100What is the greatest possible value of n? A. 10 B. 11 C. 12 D. 13 E. 14 15.If p is a prime number greater than 11，and P is the sum of the two prime numbers x and y，then x could be which of the following? A. 2 B. 5 C. 7 D. 9 E. 13 16.Of the positive integers that are multiples of 30 and are less than or equal to 360，what fraction are multiples of 12? 17.If x，Y and z are consecutive integers and xyz，which of the following must be true? xyz is even x+y+z is even (x+y)(y+z)is odd A. None B. only C. only D. and only E. ，and 18.The product of two consecutive positive integers CANNOT be A. a prime number B. divisible by 11 C. a multiple of 13 D. an even number less than 10 E. a number having 4 as its units digit 19.When a certain number is divided by 7，the remainder iS 0If the remainder is not 0when the number is divided by 14，then the remainder must be A. 1 B. 2 C. 4 D. 6 E. 7 20.How many of the positive integers less than 25 are 2 less than an integer multiple of 4? A. TWO B. Three C. Four D. Five E. Six 21.If y is the average(arithmetic mean)of n consecutive positive integers，n1，what is the sum of the greatest and least of the seintegers? A. 2y B. ny C. 22.A positive integer with exactly two different divisors greater than 1 must be A. a prime B. an even integer C. a multiple of 3 D. the square of a prime E. the square of an odd integer 23.What is the least prime number greater than 83？ A. 85 B. 87 C. 88 D. 89 E. 91 24.Of the following，which is greatest? 25.If n=pqr，where P，q，and r are three different positive prime numbers，how many different positive divisors does n haveincluding 1 and n? A. 3 B. 5 C. 6 D. 7 E. 8 26.11×13×17×19×23 A decrease of l in which of the factors above would result in the greatest decrease in the product? A. 11 B. 13 C. 17D. 19 E. 23 27.Each of the following numbers has two digits blotted out Which of the numbers could be the number of hours in x days，where x is an integer? A. 25，06 B. 50，26 C. 56，02 D. 62，50 E. 65，20 28.Of the followingwhich is closest to A. 1 B. 10 C. 70 D. 100 E. 700 29.Which of the following numbers is NOT the sum of three consecutive odd integers? A. 15 B. 75 C. 123 D. 297 E. 313 30. A. 1 B. 2 C. 4D. 8 E. 16 31.A dresser drawer contains 15 garmentsIf40 percent of those garments are blouses，how many are not blouses? A. 6 B. 8 C. 9 D. 10 E. 12 32.If k is an integer and 5k20000，what is the greatest possible value of k? A. 6 B. 7 C. 8 D. 9 E. 10 33.The number 1030is divisible by all of the following EXCEPT A. 250 B. 125 C. 32 D. 16 E. 6 34.What is the greatest positive integer n so that 2”is a factor of 1210? A. 10 B. 12 C. 16 D. 20 E. 60 35.If a certain company purchased its computer terminals for a total of$540，400 and each of the terminals was purchased for$350，how many terminals did the company purchase? A. 1，624 B. 1，544 C. 1，434 D. 1，384 E. 1，264 36.At College C there are from 2 to 4 introductory philosophy classes each semester，and each 0f these classes has from 20 to 30students enrolledIf one semester 10 percent of the students enrolled in introductory philosophy failed，what is the greatest possible number who failed? A. 12 B. 10 C. 8 D. 6 E. 3 37.Of the following，which is the closest approximation to A. 1 B. 5 C. 10 D. 20 E. 100 38.A school district has 1，989 computers，which is approximately one computer for every 686 studentsOf the following，which is the closest approximation，in thousands，of the number of students in the sch001 district? A. 30 B. 120 C. 140 D. 160 E. 200 39.A certain spiral staircase is designed so that each step after the first one is turned 20°counterclockwise from the one immediately below it，how many of the steps make upcomplete revolutions? A. 18 B. 36 C. 38 D. 45 E. 50 40.If 7l is an odd integer，then n2-1 must be A. a prime number B. an odd integer C. divisible by 8 D. a multiple of 2n E. a positive integer 41.If the sum of five consecutive even integers is 70，what is the value of the greatest of the five integers A. 12 B. 14 C. 18 D. 20 E. 22 42.The sum of the first 50 positive integers is1，275What is the sum of the integers from 51 to 100，inclusive? A. 2，525 B. 2，550C. 3，25 D. 3，775 E. 5，050 43.The numbers in a table are arranged in 10rows and 4 columns such that one number is placed at the intersection of each row and columnHOW many numbers are contained in the table? A. 14 B. 40 C. 400 D. 104 E. 410 44.In how many of the integers between 1 and100 does the digit 5 occur exactly once? A. 10 B. 18 C. 19 D. 20 E. 21 45. In the sum aboveif X and Y each denote one of the digits from 0 to 9，inclusive，then X= A. 9 B. 5 C. 3 D. 1 E. 0 46.If n is any prime number greater than 2，which of the following CANNOT be a prime number? A. n-4 B. n-3 C. n-1 D. n+2 E. n+5 47.A 12-inch ruler is marked off in Sixteenths of an inchWhat is the distance，in inches，from the zero mark to the 111th mark after the zero mark? 48.If the range of the six measurements 140，125，180，110，165，and x is 80，which of the following could be the value of x? A. 60 B. 85 C. 190 D. 220 E. 245 49.Saplings are to be planted 30 feet apart along one side of a straight lane 455 feet longIf the first sapling is to be planted atone end of the lane，how many saplings are needed? 50.The 10 households on a certain street have household incomes that range from$34，000 to$150，000 and an average(arithmetic mean)household income of$60，000If the household with the highest income and the one with the lowest income are excludedWhat is the average household income for the remaining 8 households? A. $41，600 B. $47，000 C. $52，000 D. $61，000 E. $75，000第10页 共10页第 10 页 共 10 页第 10 页 共 10 页第 10 页 共 10 页第 10 页 共 10 页第 10 页 共 10 页第 10 页 共 10 页第 10 页 共 10 页第 10 页 共 10 页第 10 页 共 10 页第 10 页 共 10 页