PS-OG：第1-20题 练习册详情

1

According to a certain estimate, the depth N(t), in centimeters, of the water in a certain tank at t hours past 2:00 in the morning is given by $${N}({t})=-{20}({t}-{5})^{2}+{500}$$ for $$0 \leq t \leq 10$$. According to this estimate, at what time in the morning does the depth of the water in the tank reach its maximum?

• 5:30
• 7:00
• 7:30
• 8:00
• 9:00

6450人做过此题 平均耗时为18min2s 平均正确率为 70%

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2

Data for a certain biology experiment are given in the table above. If the amount of bacteria present increased by the same fraction during each of the two 3-hour periods shown, how many grams of bacteria were present at 4:00 P.M.?

• 12.0
• 12.1
• 12.2
• 12.3
• 12.4

9989人做过此题 平均耗时为8min3s 平均正确率为 44%

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3

In a recent election, Ms. Robbins received 8,000 votes cast by independent voters, that is, voters not registered with a specific political party. She also received 10 percent of the votes cast by those voters registered with a political party. If N is the total number of votes cast in the election and 40 percent of the votes cast were cast by independent voters, which of the following represents the number of votes that Ms. Robbins received?

• 0.06N + 3,200
• 0.1N + 7,200
• 0.4N + 7,200
• 0.1N + 8,000
• 0.06N + 8,000

9617人做过此题 平均耗时为32min38s 平均正确率为 42%

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4

If the volume of a ball is 32,490 cubic millimeters, what is the volume of the ball in cubic centimeters? (1 millimeter = 0.1 centimeter)

• 0.3249
• 3.249
• 32.49
• 324.9
• 3,249

0人做过此题 平均耗时为0 平均正确率为 0%

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5

The figure shown above represents a modern painting that consists of four differently colored rectangles, each of which has length l and width w. If the area of the painting is 4,800 square inches, what is the width, in inches, of each of the four rectangles?

• 15
• 20
• 25
• 30
• 40

4721人做过此题 平均耗时为19min47s 平均正确率为 42%

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6

The average (arithmetic mean) score on a test taken by 10 students was x. If the average score for 5 of the students was 8, what was the average score, in terms of x, for the remaining 5 students who took the test?

• 2x-8
• x-4
• 8-2x
• 16-x
• $${8}-\frac{x}{2}$$

2234人做过此题 平均耗时为1min10s 平均正确率为 93%

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7

A certain manufacturer sells its product to stores in 113 different regions worldwide, with an average (arithmetic mean) of 181 stores per region. If last year these stores sold an average of 51,752 units of the manufacturer's product per store, which of the following is closest to the total number of units of the manufacturer's product sold worldwide last year?

• $$10^{6}$$
• $$10^{7}$$
• $$10^{8}$$
• $$10^{9}$$
• $$10^{10}$$

0人做过此题 平均耗时为0 平均正确率为 0%

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8

$$\frac{(0.0036)(2.8)}{(0.04)(0.1)(0.003)}=$$

• 840.0
• 84.0
• 8.4
• 0.84
• 0.084

3628人做过此题 平均耗时为1min19s 平均正确率为 73%

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9

$$\sqrt{{4.8}*{10}^{9}}$$ is closest in value to

• 2,200
• 70,000
• 220,000
• 7,000,000
• 22,000,000

5125人做过此题 平均耗时为12min58s 平均正确率为 62%

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10

A glass was filled with 10 ounces of water, and 0.01 ounce of the water evaporated each day during a 20-day period. What percent of the original amount of water evaporated during this period?

• 0.002%
• 0.02%
• 0.2%
• 2%
• 20%

9951人做过此题 平均耗时为9min0s 平均正确率为 70%

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11

At the opening of a trading day at a certain stock exchange, the price per share of stock K was $8. If the price per share of stock K was $9 at the closing of the day, what was the percent increase in the price per share of stock K for that day?

• 1.4%
• 5.9%
• 11.1%
• 12.5%
• 23.6%

9941人做过此题 平均耗时为10min41s 平均正确率为 65%

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12

If the amount of federal estate tax due on an estate valued at $1.35 million is $437,000 plus 43 percent of the value of the estate in excess of $1.25 million, then the federal tax due is approximately what percent of the value of the estate?

• 30%
• 35%
• 40%
• 45%
• 50%

0人做过此题 平均耗时为0 平均正确率为 0%

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13

In the coordinate plane, a circle has center (2, -3) and passes through the point (5, 0). What is the area of the circle?

• 3π
• $${3}\sqrt{2}\pi$$
• $${3}\sqrt{3}\pi$$
• 9π
• 18π

5003人做过此题 平均耗时为1min20s 平均正确率为 87%

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14

Each person who attended a company meeting was either a stockholder in the company, an employee of the company, or both. If 62 percent of those who attended the meeting were stockholders and 47 percent were employees, what percent were stockholders, who were not employees?

• 34%
• 38%
• 45%
• 53%
• 62%

9992人做过此题 平均耗时为17min11s 平均正确率为 53%

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15

If x, y, and k are positive numbers such that $$(\frac{x}{x+y})({10})+(\frac{y}{x+y})({20})=k$$ and if $$x<{y}$$ which of the following could be the value of k?

• 10
• 12
• 15
• 18
• 30

10000人做过此题 平均耗时为4min51s 平均正确率为 67%

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16

At a certain instant in time, the number of cars, N, traveling on a portion of a certain highway can be estimated by the formula

N=$$20L\frac{d}{(600+s^2)}$$where L is the number of lanes in the same direction, d is the length of the portion of the highway, in feet, and s is the average speed of the cars, in miles per hour. Based on the formula, what is the estimated number of cars traveling on a $$\frac{1}{2}$$ mile portion of the highway if the highway has 2 lanes in the same direction and the average speed of the cars is 40 miles per hour? (5,280 feet = 1 mile)

• 155
• 96
• 80
• 48
• 24

9960人做过此题 平均耗时为13min6s 平均正确率为 53%

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17

A store currently charges the same price for each towel that it sells. If the current price of each towel were to be increased by $1, 10 fewer of the towels could be bought for $120, excluding sales tax. What is the current price of each towel?

• $1
• $2
• $3
• $4
• $12

4231人做过此题 平均耗时为29min32s 平均正确率为 42%

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18

In the figure shown above, line segment QR has length 12, and rectangle MPQT is a square. If the area of rectangular region MPRS is 540, what is the area of rectangular region TQRS ?

• 144
• 216
• 324
• 360
• 396

0人做过此题 平均耗时为0 平均正确率为 0%

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19

If n is an integer greater than 6, which of the following must be divisible by 3?

• n (n+1) (n-4)
• n (n+2) (n-1)
• n (n+3) (n-5)
• n (n+4) (n-2)
• n (n+5) (n-6)

9966人做过此题 平均耗时为10min42s 平均正确率为 51%

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20

if $${t}=\frac{1}{(2^9*5^3)}$$ is expressed as a terminating decimal,how many zeros will t have between the decimal point and the first nonzero digit to the right of the decimal point?

• Three
• Four
• Five
• Six
• Nine

8207人做过此题 平均耗时为31min34s 平均正确率为 67%

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