PS-OG：第340-359题 练习册详情

1

Today Rebecca, who is 34 years old, and her daughter, who is 8 years old, celebrate their birthdays. How many years will pass before Rebecca's age is twice her daughter's age?

• 10
• 14
• 18
• 22
• 26

0人做过此题 平均耗时为0 平均正确率为 0%

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2

Shawana made a schedule for reading books during 4 weeks (28 days) of her summer vacation. She has checked out 12 books from the library. The number of pages in each book and the order in which she plans to read the books are shown in the table above. She will read exactly 50 pages each day. The only exception will be that she will never begin the next book on the same day that she finishes the previous one, and therefore on some days she may read fewer than 50 pages. At the end of the 28th day, how many books will Shawana have finished?

• 7
• 8
• 9
• 10
• 11

2491人做过此题 平均耗时为24min50s 平均正确率为 65%

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3

If p $$\neq 0$$ and $$p - \frac{1-p^{2}}{p} = \frac{r}{p}$$, then r =

• p+1
• 2p-1
• $$p^{2}+1$$
• $$2p^{2}-1$$
• $$p^{2}+p-1$$

2465人做过此题 平均耗时为6min19s 平均正确率为 48%

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4

$${{1}\over{1+\frac{1}{3}}} -{{1}\over{1+\frac{1}{2}}}$$

• $$-\frac{1}{3}$$
• $$-\frac{1}{6}$$
• $$-\frac{1}{12}$$
• $$\frac{1}{12}$$
• $$\frac{1}{3}$$

0人做过此题 平均耗时为0 平均正确率为 0%

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5

In the xy-plane, the origin O is the midpoint of line segment PQ. If the coordinates of P are (r,s), what are the coordinates of Q ?

• (r,s)
• (s,-r)
• (-s,-r)
• (-r,s)
• (-r,-s)

2653人做过此题 平均耗时为8min3s 平均正确率为 69%

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6

If $$n = 3^{8} - 2^{8}$$, which of the following is NOT a factor of n ?

• 97
• 65
• 35
• 13
• 5

2098人做过此题 平均耗时为15min0s 平均正确率为 44%

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7

If a sphere with radius r is inscribed in a cube with edges of length e, which of the following expresses the relationship between r and e ?

• $$r=\frac{1}{2}e$$
• r=e
• r=2e
• $$r=\sqrt{e}$$
• $$r=\frac{1}{4}e^{2}$$

3289人做过此题 平均耗时为15min50s 平均正确率为 55%

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8

What number is 108 more than two-thirds of itself?

• 72
• 144
• 162
• 216
• 324

1930人做过此题 平均耗时为10min5s 平均正确率为 48%

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9

Which of the following is greatest?

• $$10\sqrt{3}$$
• $$9\sqrt{4}$$
• $$8\sqrt{5}$$
• $$7\sqrt{6}$$
• $$6\sqrt{7}$$

818人做过此题 平均耗时为5min45s 平均正确率为 58%

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10

Company Q plans to make a new product next year and sell each unit of this new product at a selling price of $2. The variable costs per unit in each production run are estimated to be 40% of the selling price, and the fixed cost of each production run are estimated to be $5,040. Based on these estimated costs, how many units of the new product will Company Q need to make and sell in order for their revenue to equal their total costs for each production run?

• 4200
• 3150
• 2520
• 2100
• 1800

2501人做过此题 平均耗时为18min7s 平均正确率为 66%

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11

If 1 < x < y < z, which of the following has the greatest value?

• z(x+1)
• z(y+1)
• x(y+z)
• y(x+z)
• z(x+y)

3955人做过此题 平均耗时为15min39s 平均正确率为 43%

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12

During a certain time period, Car X traveled north along a straight road at a constant rate of 1 mile per minute and used fuel at a constant rate of 5 gallons every 2 hours. During this time period, if Car X used exactly 3.75 gallons of fuel, how many miles did Car X travel?

• 36
• 37.5
• 40
• 80
• 90

3491人做过此题 平均耗时为23min40s 平均正确率为 68%

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13

Abdul, Barb, and Carlos all live on the same straight road, on which their school is also located. The school is halfway between Abdul's house and Barb's house. Barb's house is halfway between the school and Carlos's house. If the school is 4 miles from Carlos's house, how many miles is Abdul's house from Carlos's house?

• $$1\frac{1}{3}$$
• 2
• 4
• 6
• 8

3631人做过此题 平均耗时为15min4s 平均正确率为 59%

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14

The sum of the weekly salaries of 5 employees is $3,250. If each of the 5 salaries is to increase by 10 percent, then the average (arithmetic mean) weekly salary per employee will increase by

• $52.50
• $55.00
• $57.50
• $62.50
• $65.00

2516人做过此题 平均耗时为12min50s 平均正确率为 67%

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15

125% of 5 =

• 5.125
• 5.25
• 6
• 6.125
• 6.25

5287人做过此题 平均耗时为8min1s 平均正确率为 70%

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16

Al and Ben are drivers for SD Trucking Company. One snowy day, Ben left SD at 8:00 a.m. heading east and Al left SD at 11:00 a.m. heading west. At a particular time later that day, the dispatcher retrieved data from SD's vehicle tracking system. The data showed that, up to that time, Al had averaged 40 miles per hour and Ben had averaged 20 miles per hour. It also showed that Al and Ben had driven a combined total of 240 miles. At what time did the dispatcher retrieve data from the vehicle tracking system?

• 1:00 p.m.
• 2:00 p.m.
• 3:00 p.m.
• 5:00 p.m.
• 6:00 p.m.

1308人做过此题 平均耗时为14min22s 平均正确率为 61%

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17

Last week Chris earned x dollars per hour for the first 40 hours worked plus 22 dollars per hour for each hour worked beyond 40 hours. If last week Chris earned a total of 816 dollars by working 48 hours, what is the value of x ?

• 13
• 14
• 15
• 16
• 17

2591人做过此题 平均耗时为13min46s 平均正确率为 50%

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18

If X is the hundredths digit in the decimal 0.1X and if Y is the thousandths digit in the decimal 0.02Y, where X and Y are nonzero digits, which of the following is closest to the greatest possible value of $$\frac{0.1X}{0.02Y}$$?

• 4
• 5
• 6
• 9
• 10

828人做过此题 平均耗时为8min8s 平均正确率为 70%

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19

The table shows the amount budgeted and the amount spent for each of three accounts in a certain company. For which of these accounts did the amount spent differ from the amount budgeted by more than 6 percent of the amount budgeted?

• Payroll only
• Taxes only
• Insurance only
• Payroll and Insurance
• Taxes and Insurance

1409人做过此题 平均耗时为14min19s 平均正确率为 46%

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20

The graph shows the number of computers assembled during each of 6 consecutive days. From what day to the next day was the percent change in the number of computers assembled the greatest in magnitude?

• From Day 1 to Day 2
• From Day 2 to Day 3
• From Day 3 to Day 4
• From Day 4 to Day 5
• From Day 5 to Day 6

1399人做过此题 平均耗时为13min6s 平均正确率为 54%

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