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1、2021资格英语考试模拟卷（5）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.If“and 6 are integers and a-b=6，then a+b CANNOT be A. 0 B. less than 6 C. greater than 6 D. an even integer E. an odd integer 2.If p and r are prime numbers，which of the following must also be prime? A. pr B.
2、 p+r C. pr+1 D. p2+r2 E. None of the above 3.On a certain number line，if-7 is a distance4 from n and 7 is a distance or 18 from n then n= A. 25 B. 11 C. 3 D. -3 E. -11 4.Which of the following equations can be used to find the value of x if 7 less than 5xis 5 more than the product of 3 and x? A. 5x-
3、7=5+3x B. 5x-7=5+(3+x) C. 7-5x=5+3x D. 7-5x=(5+3)x E. 7-5x+5=3x 5.The number of connections C that can be made through a switchboard to which T-telephones are connected is given by the formula How many more connections are possible with 30 telephones than with 20 telephones? A. 435 B. 245 C. 190 D.
4、45 E. 10 6. If the value of the expression above is to be halved by doubling exactly one of the five numbers a，b，C，d，or e，which should be doubled? A. a B. b C. c D. d E. e 7. According to the number line above，which of the following points has a coordinate most nearly equal to pr? A. A B. B C. C D.
5、D E. E 8. On the number line above，what number correspnds to a point that is of the distance from 10 to 40? A. 6 B. 8 C. 12 D. 15 E. 22 9.On a number line，the distance between the two points with coordinates -5 and 1 is bow much 1ess than the distance between the two points with coordinates 2 and 14
6、？ A. 6 B. 8 C. 10 D. 12 E. 16 10. p 24 1 8 15 23 5 7 14 16 4 6 r 20 22 10 12 19 21 3 11 18 25 2 9 In the figure above，if the sum of each column，row，and five-element diagonal is equal to x，what is the value of p+r? A. 13 B. 17 C. 20 D. 23 E. 30 11.If x2=68，which of the following could betrue? A. -9x-
7、8 B. -8x-7 C. -8x8 D. 7x8 E. 9x10 12.The expression (x+4)(2x-3) is equivalent to which of the following? 2x(x+4)-3(x+4) (x-4)(2x+3) 2x2-12 A. only B. only C. only D. and only E. ，and 13.On the number line，1.4 is halfway between which of the following pairs of numbers? A. -1.4 and 2.4 B. -1 and 2 C.
8、-0.3 and 3.1 D. 0.15 and 1.55 E. 0.4 and 1 14. x t u t a b u b c If y is a twodigit number with tens digit t and units digit M and the table above is a multiplication table for t and u (for example，tu=6)，then y2= A. a+2b+10c B. 10a+20b+x C. 10(a+2b+c. D. 100(a+26+c. E. 100a+20b+c 15.For all real num
9、bers u，the operation u* is defined by the equation*=v-If (v*)=8，then v= A. 15 B. 18 C. 21 D. 24 E. 27 16.If x is an integer and x237，what is the greatest possible value of x minus the least possible value of x? A. 5 B. 6 C. 10 D. 12 E. 36 17.Pencils have the same unit cost regardless of the number s
10、oldx pencils cost a total of $0.5，and n pencils cost a total of y dollar A. if the quantity in Column A is greater; B. if the quantity in Column B is greater; C. if the two quantities are equal; D. if the relationship cannot be determined from the information given. 18.If the sum r+s is 2 less than
11、the difference r-s，then s= A. -2 B. -1 C. 0 D. 1 E. 2 19.The value of y will decrease as the value of x increases in which of the following equations? A. y=x B. y=x-2 C. 2-y=3-x D. 2x-y=4 E. x+2y=1 20.2x+2x= A. 2x+1 B. 2x+2 C. 22x D. 4x E. 42x 21.What is the cost，in cents，of using a certain fax mach
12、ine to send n pages of a report if the total cost for sending the first k pages is r cents and the cost for sending each additional page is s cents?(Assume that nk) A. r+s(n-k) B. r+s(n+k) C. rs(n+k) D. kr+s(n-k) E. kr+ns 22.If x is pcrcent more than y，then y is what percent less than x? A. 9% B. 10
13、% C. 11% D. 12% E. 15% 23. In the equation above，k，r，s，t，and v represent positive numbers Multiplying which one of these numbers by 2 will reduce the value of n to of its present value? A. k B. rC. s D. t F. v 24.A manufacture packages soap powder in containers of three different sizesThe amount of
14、soap powder in a full large container could fill exactly 3 of the medium containers or exactly 5 of the small containersIf an equal number of small and large containers are to be filled with the amount of soap powder that would fill 90medium containers，how many small containers will be filled? A. 25
15、 B. 27 C. 30 D. 45 E. 55 25.A rectangular floor 18 feet by 10 feet is to become pletely covered with carpeting that costs x dollars per square yardIn terms of x，how many dollars will the carpeting cost?(1 yard=3 feet) A. 20x B. 28x C. 60x D. 180x E. 540x 26.In a certain country，a person is born ever
16、y3 seconds and a person dies every 10secondsTherefore，the birth and death rates account for a population growth rate of one Person every 27.A widow received of her husbands estate，and each of her three sons received of the balanceIf the widow and one of her sons received a total of $60，000 from the
17、estatewhat was the amount of the estate? A. $90，000 B. $96，000 C. $108，000 D. $135，000 E. $180，000 28.At 9:00 amtrain T 1eft the train station and two hours later train S left the same station on a parallel track If train Taver aged 60 kilometers per hour and train Saver aged 75 kilometers per hour
18、until S passed Tat what time did S pass T? A. 2:00 Pm B. 5:00 pm C. 6:00 Pm D. 7:00pm E. 9:00 Pm 29.The charge for a telephone call made at10:00 amfrom city Y to city X is $050 for the first minute and $0.34 for each additional minuteAt these rates，what is the difference between the total cost of th
19、ree5-minute calls and the cost of one 15-minutecall? A. $0.00 B. $0.16 C. $0.32 D. $0.48 E. $1.00 30.If the cost of a longdistance phone call is c cents for the first minute and cents for each additional minute，what is the cost，in centsof a 10-minute call of this type? 31.A consumer insulates a hous
20、e with material bought at 20 percent off the list price of$370If the consumer also receives are bate of $25 from the manufacturer of the material，how much does the material cost the consumer? A. $238 B. $240 C. $263 D. $271 E. $325 32.when of a certain number is added to the number and this sum is s
21、ubtracted from108the result is the original numberWhat is the original number? A. 35 B. 45 C. 54 D. D. 270 33.What was the original price of an item if a discount of 20 percent reduced the price to$100? A. $80 B. $120 C. $125 D. $150 E. $250 34.Of the 400 cadets in a graduating class，30percent were
22、w。men and，of these，became instructorsIf the number of men who became instructors was twice the number of women who became instructors，how many of the men became instructors? A. 120 B. 48 C. 40 D. 24 E. 20 35.A company paid $500，000 in merit raises to employees whose performances were rated A，B，or CE
23、ach employee rated A received twice the amount of the raise that was paid to each employee rated C；each employee rated B received times the amount of the raise that was paid to each employee rated CIf 50 workers were rated A，100 were rated B，and 150 were rated C，how much was the raise paid to eachem
24、 ployee rated A? A. $370 B. $625 C. $740 D. $1，250 E. $2，500 36.Mechanical toy cars A，B，and C，each traveling at its own uniform rate，started from the same point at the same time and raced a 400-meter course When A crossed the finish lineB was 40meters behind A，and C was 58 meters behind A When B cro
25、ssed the finish line，how many meters was C from the finish line? A. 16 B. 18 C. 19 D. 20 E. 22 37.A school bus has 10 double seats in each of2 rowsTwo students can sit in each double seatIf an empty bus starts out and makes two stops，picking up three times the number of students at the second stop a
26、s at the first stop，and if the bus is then filled to seating capacity，how many students got on the bus at the second stop? A. 5 B. 10 C. 15 D. 20 E. 30 38.The daily rate for a hotel room that sleeps4 people is$39 for one person and x dollars for each additional personIf 3people take the room for one
27、 day and each pays $21 for the room，what is the value of x? A. 6 B. 8 C. 12 D. 13 E. 24 39.A buzzer sounds every 15 minutesIf the buzzer sounded at 12:40，which of the following could be a time at which the buzzer sounded? A. 4:05 B. 5:30 C. 6:45 D. 7:15 E. 8:10 40.A certain company has found that th
28、e number of labor hours required to produce x items is directly proportional to the square root of xIf 3 labor hours are required to produce 20 items，how many labor hours are required to produce 40items? 41.The cost，in dollars，for an appliancerepair at a certain company is 1.2p+20h，where p is the wh
29、olesale price of the parts，in dollars，and，2 is the number of hours it takes to repair the applianceWhat is the cost of repairing an appliance if the wholesale price of the parts is $15and it takes 2 hours to repair it? A. $12 B. $18 C. $20 D. $40 E. $58 42.Three salespeople are paid commissions in p
30、roportion to the amount of their sales，which total $25，000， $40，000， and$60，000， respectively If a total of$20，000 is allocated for these three commission，what is the amount of the largest commission paid? A. $8，000 B. $8，400 C. $9，600 D. $10，000 E. $12，000 43.If 8，750 pairs of shoes are represented
31、 in the pictograph above，how many pairs of shoes does each represent? A. 350 B. 700 C. 730 D. 830 E. 1，400 44.A basket contains a total of 30 apples and pearsIf it contains times as many apples as pears，how many pears does it contain? A. 9 B. 10 C. 12 D. 18 E. 20 45.The decorating committee for a da
32、nce plans to fringe the 3-inchwide end of a streamer by making small cuts every inchHow many cuts must be made to fringe the end? A. 45 B. 46 C. 47 D. 48 F.49 46.If two trains are 120 miles apart and are traveling toward each other at a constant rate of 30 mph and 40 mph，respectively，how far apart w
33、ill they be exactly 1 hour before they meet? A. 10 miles B. 30 miles C. 40 miles D. 50 miles E. 70 miles 47.The scores reported for a certain multiplechoice test were dcrived by subtracting of the number of wrong answers from the number of right answersOn a 40-questiontest，if none of the questions w
34、as omitted and the score reported was 20，how many wrong answers were there? A. 5 B. 10 C. 15 D. 25 E. 30 48.On a highway there is an electric pole every96 feet If the poles are numbered consecutively，what is the number of the pole 2 miles past pole number 56?(1 mile=5，280 feet) A. 109 B. 110 C. 152
35、D. 165 E. 166 49.In a certain room，all except 18 of the people are over 50 years of ageIf 15 of the people in the room are under 50 years of age，how many people are in the room? A. 27 B. 30 C. 33 D. 36 E. It cannot be determined from theinformation given 50.Sixtyeight people are sitting in 20 cars and each car contains at most 4 people What is the maximum possible number of cars that could contain exactly 1 of the 68people? A. 2 B. 3 C. 4 D. 8 E. 12第13页 共13页第 13 页 共 13 页第 13 页 共 13 页第 13 页 共 13 页第 13 页 共 13 页第 13 页 共 13 页第 13 页 共 13 页第 13 页 共 13 页第 13 页 共 13 页第 13 页 共 13 页第 13 页 共 13 页