试卷详情
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工商管理硕士入学考试-数学机考-(一)
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[单项选择]John budgeted 50% of his take-home pay for household expense, 20% for transportation, 15% for a retirement fund, and the remaining $240 for recreation. How much of his take home pay did he budget for household expenses ?()
A. $500
B. $800
C. $1,000
D. $1,200
E. $240
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[单项选择]Two cars left the same town traveling in the same direction. Car A traveled 40 miles per hour and left at 3:20. Car B traveled 50 miles per hour and left at 4:40. At what time will car B catch up with car A ?()
A. 10:00
B. 9:00
C. 8:40
D. 7:20
E. 6:10
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[单项选择]Jerome wrote each of the integers 1 through 20, inclusive, on a separate index card. He placed the cards in a box, then drew cards one at a time randomly from the box, without returning the cards he had already drawn to the box. In order to ensure that the sum of all the cards he drew was even, how many cards did Jerome have to draw ?()
A. 19
B. 12
C. 11
D. 10
E. 3
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[单项选择]A student had an average of 86 for three tests. If the student’s highest test score was 2a, what was the average of the student’s two lowest scores ?()
A. 129-2a
B. 258-2a
C. 129-a
D. 258+2a
E. 258-a
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[单项选择]To fill a number of vacancies, an employer must hire 3 programmers from among 6 applicants, and 2 managers from among 4 applicants.
What is the total number of ways in which she can make her selection ?()
A. 1,490
B. 132
C. 120
D. 60
E. 23
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[单项选择]For how many integers n is 2n=n2 ?()
A. None
B. One
C. Two
D. Three
E. More than three
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[单项选择]The contents of a certain box consist of 14 apples and 23 oranges. How many oranges must be removed from the box so that 70 percent of the pieces of fruit in the box will be apples ?()
A. 3
B. 6
C. 14
D. 17
E. 20
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[单项选择]The product of three consecutive integers must be
Ⅰ. Divisible by 3
Ⅱ. Divisible by 5
Ⅲ. Divisible by 6 ?()
A. Ⅰ only
B. Ⅱ only
C. Ⅰ and Ⅱ only
D. Ⅰ and Ⅲ only
E. Ⅰ,Ⅱ,and Ⅲ
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[单项选择]A salesman makes a profit of 25% on all sales. How many fax machines will he have to sell for $375 each to make a total commission of at least $ 500 ?()
A. 4
B. 5
C. 6
D. 15
E. 20
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[单项选择]A salesperson works 50 weeks each year and makes an average (arithmetic mean) of 100 sales per week. If each sale is worth an average (arithmetic mean) of $1,000, then what is the total value of sales made by the salesperson in a year ?()
A. $50,000
B. $100,000
C. $500,000
D. $1,000,000
E. $5,000,000
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[单项选择]If the areas of the three different sized faces of a rectangular solid are 6, 8, and 12, then what is the volume of the solid ?()
A. 576
B. 288
C. 144
D. 48
E. 24
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[单项选择]Last year, an appliance store sold an average (arithmetic mean) of 42 microwave ovens per month. In the first 10 months of this year, the store has sold an average (arithmetic mean) of only 20 microwaves per month. What was the average number of microwaves sold per month during the entire 22-month period ?()
A. 21
B. 30
C. 31
D. 32
E. 44
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[单项选择]How many minutes will it take to completely fill a water tank with a capacity of 3,750 cubic feet if the water is being pumped into the tank at the rate of 800 cubic feet per minute and is being drained out of the tank at the rate of 300 cubic feet per minute ?()
A. 3 min. 36see.
B. 6 minutes
C. 7min. 30sec.
D. 8 minutes
E. 1,875 minutes
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[单项选择]If r and s are integers and rs+r is odd, which of the following must be even ?()
A. r
B. s
C. r+s
D. rs-r
E. r2+s
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[单项选择]A painter has painted one-third of a rectangular wall which is ten feet high. When she has painted another 75 square feet of wall, she will be three-quarters finished with the job. What is the length (the horizontal dimension) of the wall ?()
A. 18 feet
B. 12 feet
C. 10 feet
D. 9 feet
E. 6 feet
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[单项选择]Joe works two part time jobs. One week Joe worked 8 hours at one job, earning $150, and 4.5 hours at other job, earning $90. What were his average hourly earnings for the week ?()
A. $8.00
B. $9.60
C. $16.00
D. $19.20
E. $32.00
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[单项选择]A first-grade teacher use ten flash cards, numbered 1 through 10, to teach her students to order numbers correctly. She has students choose four flash cards randomly, then arrange the cards in ascending order. One day, she removes the cards numbered "2" and "4" from the deck of flash cards. On that day, how many different correct arrangements of four randomly selected cards are possible ?()
A. 70
B. 210
C. 336
D. 840
E. 1,680
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[单项选择]A certain grocery purchased x pounds of produce for p dollars per pound. If y pounds of the produce had to be discarded due to spoilage and the grocery sold the rest for s dollars per pound, which of the following represents the gross profit on the sale of the produce ?()
A. (x-y)s-xp
B. (x-y)p-ys
C. (s-p)y-xp
D. xp-ys
E. (x-y)(s-p)
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[单项选择]The enrollments at College X and College Y both grew by 8 percent from 1980 to 1985. If the enrollment at College X grew by 800 and the enrollment at College Y grew by 840, the enrollment at College Y was how much greater than the enrollment at College X in 1985 ?()
A. 400
B. 460
C. 500
D. 540
E. 580
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[单项选择]The width of a rectangle is 6 cm less than the length. If the perimeter of the rectangle is 48 cm, what is the length of the rectangle in centimeters ?()
A. 48
B. 15
C. 12
D. 9
E. 6
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[单项选择]If x is an even integer and y is an odd integer, then which of the following is an even integer ?()
A. x2+y
B. x2-y
C. (x2)(y)
D. x+y
E. x-y
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[单项选择]A group of store managers must assemble 280 displays for an upcoming sale. If they assemble 25 percent of the displays during the first hour and 40 percent of the remaining displays during the second hour, how many of the displays will not have been assembled by the end of the second hour ?()
A. 70
B. 98
C. 126
D. 168
E. 182
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[单项选择]The sum of four consecutive odd positive integers is always ?()
A. an odd number
B. divisible by 4
C. a prime number
D. a multiple of 3
E. greater than 24
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[单项选择]A child withdraws from his piggy bank 10% of the original sum in the bank. If he must add 90¢ to bring the amount in the bank back up to the original sum, what was the original sum in the bank ?()
A. $1.00
B. $1.90
C. $8.10
D. $9.00
E. $9.90
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[单项选择]Jolene began building a picket fence by planting stakes in a row; the stakes were evenly spaced. After planting the first 10 stakes, Jolene measured the length of the row and found that the row was 27 feet long. She continued the row by planting another 10 stakes, then measured the length of the entire row. How many feet long was the row of stakes Jolene had planted ?()
A. 37
B. 54
C. 57
D. 60
E. 81
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[单项选择]Paul is standing 180 yards due north of point P, Franny is standing 240 yards due west of point P. What is the shortest distance between Franny and Paul ?()
A. 60yards
B. 300yards
C. 420yards
D. 900yards
E. 9,000yards
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[单项选择]The Binary Ice Cream Shoppe sells two flavors, vanilla and chocolate. On Friday, the ratio of vanilla cones sold to chocolate cones sold was 2 to 3. If the store had sold 4 more vanilla cones, the ratio of vanilla cones sold to chocolate cones sold would have been 3 to 4. How many vanilla cones did the store sell on Friday ?()
A. 32
B. 35
C. 42
D. 48
E. 54
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[单项选择]If n is an integer between 0 and 100, then any of the following could be 3n+3 EXCEPT ?()
A. 300
B. 297
C. 208
D. 63
E. 6
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[单项选择]Last year, a certain public transportation system sold an average (arithmetic mean) of 41,000 tickets per day on weekdays (Monday through Friday) and an average of 18,000 tickets per day on Saturday and Sunday. Which of the following is closest to the total number of tickets sold last year ?()
A. 1 million
B. 1.25 million
C. 10 million
D. 12.5 million
E. 125 million
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[单项选择]A four-character password consists of one letter of the alphabet and three different digits between 0 and 9, inclusive. The letter must appear as the second or third character of the password. How many different passwords are possible ?()
A. 5,040
B. 18,720
C. 26,000
D. 37,440
E. 52,000