PS-Manhattan：第1-20题 练习册详情

1

If k and y are integers, and 10k + y is odd, which of the following must be true?

• k is odd
• k is even
• y is odd
• y is even
• both k and y are odd

4872人做过此题 平均耗时为7min59s 平均正确率为 57%

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2

If x represents the sum of the interior angles of a regular hexagon and y represents the sum of the interior angles of a regular pentagon, then the difference between x and y is equal to the sum of the interior angles of what geometric shape?

• Triangle
• Square
• Rhombus
• Trapezoid
• Pentagon

4167人做过此题 平均耗时为18min4s 平均正确率为 66%

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3

What is the area of a circle with circumference 14$$\pi$$?

• 7
• 40$$\pi$$
• 7$$\pi$$
• 14$$\pi$$
• 49$$\pi$$

3980人做过此题 平均耗时为7min7s 平均正确率为 41%

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4

If 5a = 3b = 25, then 30ab =

• 50
• 100
• 625
• 1000
• 1250

3919人做过此题 平均耗时为8min37s 平均正确率为 60%

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5

What is the average of $$\frac{1}{2}, \frac{2}{5} and\frac{ 3}{10}$$?

• $$\frac{1}{5}$$
• $$\frac{3}{10}$$
• $$\frac{2}{5}$$
• $$\frac{1}{2}$$
• $$\frac{6}{5}$$

3848人做过此题 平均耗时为7min25s 平均正确率为 58%

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6

A department store put a shirt on sale at 20% off the original price. When it didn't sell, it was put into the clearance sale bin at an additional 20% off the sale price. What is the total percentage discount on the price of the shirt after the two price reductions?

• 20%
• 32%
• 36%
• 40%
• 44%

3687人做过此题 平均耗时为13min20s 平均正确率为 63%

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7

A certain company has budgeted $1,440 for entertainment expenses for the year, divided into 12 equal monthly allocations. If by the end of the third month, the total amount spent on entertainment was $300, how much was the company under budget or over budget?

• $60 under budget
• $30 under budget
• $30 over budget
• $60 over budget
• $180 over budget

3456人做过此题 平均耗时为12min39s 平均正确率为 68%

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8

A certain realtor earns a 6 percent commission on any home that he sells, and he must pay 20 percent of the that commission in taxes. If the realtor sells a home for $750,000, how much commission does he earn after taxes?

• $9,000
• $18,000
• $36,000
• $37,500
• $45,000

3360人做过此题 平均耗时为15min43s 平均正确率为 54%

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9

The shaded face of Cube C, shown here, has an area of 49 square inches. What is the volume of Cube C in cubic inches?

• 7
• 28
• 84
• 343
• 364

3317人做过此题 平均耗时为8min33s 平均正确率为 46%

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10

If n divided by 7 has a remainder of 2, what is the remainder when 3 times n is divided by 7?

• 1
• 2
• 3
• 5
• 6

3315人做过此题 平均耗时为10min56s 平均正确率为 70%

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11

What is$$\frac{3}{5} of \frac{5}{8} of \frac{2}{3}?$$

• $$\frac{1}{4}$$
• $$\frac{3}{8}$$
• $$\frac{9}{16}$$
• $$\frac{5}{8}$$
• $$\frac{16}{9}$$

3255人做过此题 平均耗时为6min28s 平均正确率为 65%

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12

Given that a is the average (arithmetic mean) of the first nine positive multiples of six and b is the median of the first twelve positive multiples of six, what is the ratio of a to b?

• 3:4
• 10:13
• 5:6
• 13:10
• 4:3

3184人做过此题 平均耗时为25min18s 平均正确率为 55%

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13

A certain bus driver is paid a regular rate of $16 per hour for any number of hours that does not exceed 40 hours per week. For any overtime hours worked in excess of 40 hours per week, the bus driver is paid a rate that is 75% higher than his regular rate. If last week the bus driver earned $976 in total compensation, how many total hours did he work that week?

• 36
• 40
• 44
• 48
• 52

2887人做过此题 平均耗时为19min31s 平均正确率为 46%

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14

Of the 120 passengers on Flight 750, 50% are female. 10% of the passengers sit in first class, and the rest of the passengers sit in coach class. If 1/3 of the passengers in first class are male, how many females are there in coach class?

• 44
• 48
• 50
• 52
• 56

2957人做过此题 平均耗时为16min45s 平均正确率为 54%

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15

The number of passengers on a certain bus at any given time is given by the equation$$ P = –2{( S – 4)}^{ 2} + 32$$, where P is the number of passengers and S is the number of stops the bus has made since beginning its route. If the bus begins its route with no passengers, what is the value of S when the bus has its greatest number of passengers?

• 9
• 6
• 4
• 2
• 1

2987人做过此题 平均耗时为15min46s 平均正确率为 40%

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16

Store X sold$$\frac{ 1}{6}$$ more television sets in March than in February, and in February, it sold 3/8 fewer television sets than in January. If the store sold 480 television sets in January, how many sets were sold in March?

• 210
• 300
• 350
• 550
• 770

2819人做过此题 平均耗时为14min56s 平均正确率为 42%

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17

If x is an integer, then x(x – 1)(x – k) must be evenly divisible by three when k is any of the following values EXCEPT

• -4
• -2
• -1
• 2
• 5

2888人做过此题 平均耗时为20min58s 平均正确率为 65%

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18

Which of the following points could lie in the same quadrant of the xy-coordinate plane as the point (a, b), where $$ab \neq 0$$ ?

• (–b, –a)
• (–a, –b)
• (b, –a)
• (a, –b)
• (–b, a)

2885人做过此题 平均耗时为20min58s 平均正确率为 64%

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19

8 – [7 – (6 – 5 * 4 + 3) – 2 + 1] =

• -11
• -9
• -1
• 13
• 21

3422人做过此题 平均耗时为10min53s 平均正确率为 60%

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20

Exactly one year ago, Ray put his money into a savings account that yields 0.8% simple interest. If he has earned a profit of $28, how much did he originally deposit?

• $224
• $268
• $350
• $2240
• $3500

2775人做过此题 平均耗时为11min1s 平均正确率为 56%

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