PS-PREP：第281-300题 练习册详情

1

The ratio of the amount of Alex's fuel oil bill for the month of February to the amount of his fuel oil bill for the month of January was 3/2. If the fuel oil bill for February had been $40 more, the corresponding ratio would have been 5/3 . How much was Alex's fuel oil bill for January?

• $240
• $300
• $360
• $450
• $540

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2

A television manufacturer produces 600 units of a certain model each month at a cost to the manufacturer of $90 per unit and all of the produced units are sold each month. What is the minimum selling price per unit that will ensure that the monthly profit (revenue from sales minus the manufacturer's cost to produce) on the sales of these units will be at least $42,000?

• $110
• $120
• $140
• $160
• $180

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3

In May Mrs. Lee's earnings were 60 percent of the Lee family's total income. In June Mrs. Lee earned 20 percent more than in May. If the rest of the family's income was the same both months, then, in June, Mrs. Lee's earnings were approximately what percent of the Lee family's total income?

• 64%
• 68%
• 72%
• 76%
• 80%

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4

For one toss of a certain coin, the probability that the outcome is heads is 0.6. If this coin is tossed 5 times, which of the following is the probability that the outcome will be heads at least 4 times?

• $$(0.6)^5$$
• $$2(0.6)^4$$
• $$3(0.6)^{4}(0.4)$$
• $$4(0.6)^{4} (0.4)+ (0.6)^5$$
• $$5(0.6)^4(0.4) + (0.6)^5$$

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5

If A and B represent single digits in the correctly worked computation above, what is the value of A+B?

• 7
• 9
• 10
• 11
• 13

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6

A certain car averages 25 miles per gallon of gasoline when driven in the city and 40 miles per gallon when driven on the highway. According to these rates, which of the following is closest to the number of miles per gallon that the car averages when it is driven 10 miles in the city and then 50 miles on the highway?

• 28
• 30
• 33
• 36
• 38

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7

On his drive to work, Leo listens to one of three radio stations, A, B, or C. He first turns to A. If A is playing a song he likes, he listens to it; if not, he turns to B. If B is playing a song he likes, he listens to it; if not, he turns to C. If C is playing a song he likes, he listens to it; if not, he turns off the radio. For each station, the probability is 0.30 that at any given moment the station is playing a song Leo likes. On his drive to work, what is the probability that Leo will hear a song he likes?

• 0.027
• 0.090
• 0.417
• 0.657
• 0.900

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8

If $1,000 was invested at an annual interest rate of 5.6 percent compounded annually, which of the following represents the amount the investment was worth after 3 years?

• $1,000(1.056)(3)
• $1,000(3 + 1.056)
• $1,000[1 + 3(0.056)]
• $1,000[1 + (0.056)^3]
• $1,000(1.056)^3

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9

A certain candy manufacturer reduced the weight of Candy Bar M by 20 percent but left the price unchanged. What was the resulting percent increase in the price per ounce of Candy Bar M ?

• 5%
• 10%
• 15%
• 20%
• 25%

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10

The total of Company C's assets in 1994 was 300 percent greater than the total in 1993, which in turn was 400 percent greater than the total in 1992. If the total of Company C's assets in 1992 was N dollars, which of the following represents the total of Company C's assets, in dollars, in 1994 ?

• 7N
• 8N
• 9N
• 12N
• 20N

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11

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?

• 3
• 6
• 14
• 17
• 20

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12

Each unit of a certain product costs a manufacturer $9 to produce. The manufacturer sells the product in boxes of 50 units for $560 per box. How many boxes of the product does the manufacturer need to sell to yield a profit of $110,000 ?

• 90
• 100
• 900
• 1,000
• 1,100

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13

An athlete runs R miles in H hours, then rides a bicycle Q miles in the same number of hours. Which of the following represents the athlete's average speed, in miles per hour, for these two activities combined?

• $${R-Q}\over{H}$$
• $${R-Q}\over{2H}$$
• $$2{(R+Q)}\over{H}$$
• $$2{(R+Q)}\over{2H}$$
• $${R+Q}\over{2H}$$

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14

For the numbers on the number line above, which of the following statements is true?

• x + y > y
• xz > xy
• tz < z
• m^u < 0
• t^m > 0

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15

$$2 + 2 + 2^2 + 2^3 + 2^4 + 2^5 + 2^6 + 2^7 + 2^8 =$$

• $$2^9 $$
• $$2^{10} $$
• $$2^{16} $$
• $$ 2^{35} $$
• $$2^{37} $$

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16

The table above shows the amount of waste material, in tons, recycled by each of five counties in a single year and the amount of waste material, also in tons, that was disposed of in landfills by the five counties in that year. Which county had the lowest ratio of waste material disposed of to waste material recycled in the year reported in the table?

• A
• B
• C
• D
• E

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17

A certain store found that last year the average (arithmetic mean) monthly sales from January through October was $120,000. In November and December, the monthly sales were 3 and 5 times, respectively, the average for the other 10 months. What was the store's average monthly sales last year?

• $180,000
• $216,000
• $252,000
• $318,000
• $360,000

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18

A certain meter records voltage between 0 volts and 10 volts, inclusive. If the average (arithmetic mean) value of 3 recordings on the meter was 8 volts, what was the smallest possible recording, in volts?

• 2
• 3
• 4
• 5
• 6

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19

The temperatures in degrees Celsius recorded at 6 in the morning in various parts of a certain country were 10, 5, -2, -1, -5, and 15. What is the median of these temperatures?

• -2
• -1
• 2
• 3
• 5

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20

In the figure above, what is the value of x ?

• 55
• 60
• 65
• 70
• 75

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