PS-OG：第141-160题 练习册详情

1

A club collected exactly $599 from its members. If each member contributed at least $12, what is the greatest number of members the club could have?

• 43
• 44
• 49
• 50
• 51

1411人做过此题 平均耗时为1min19s 平均正确率为 78%

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2

If y is the smallest positive integer such that 3,150 multiplied by y is the square of an integer, then y must be

• 2
• 5
• 6
• 7
• 14

10000人做过此题 平均耗时为2min25s 平均正确率为 85%

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3

If [x] is the greatest integer less than or equal to x, what is the value of [-1.6] +[3.4]+[2.7]?

• 3
• 4
• 5
• 6
• 7

9977人做过此题 平均耗时为7min42s 平均正确率为 64%

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4

if $$\frac{(4-x)}{(2+x)}= x$$, what is the value of $${x}^{2} + 3x - 4$$?

• -4
• -1
• 0
• 1
• 2

1335人做过此题 平均耗时为1min9s 平均正确率为 90%

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5

The trapezoid shown in the figure above represents a cross section of the rudder of a ship. If the distance from A to B is 13 feet, what is the area of the cross section of the rudder in square feet?

• 39
• 40
• 42
• 45
• 46.5

2004人做过此题 平均耗时为1min54s 平均正确率为 91%

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6

In a certain sequence, the term $${x}_{n}$$, is given by the formula $${x}_{n}={2}{x}_{n-1}-\frac{1}{2}({x}_{n-2})$$ for all $${n}\geq{2}$$. If $${x}_{0}=3$$ and $${x}_{1}=2$$, what is the value of $${x}_{3}$$

• 2.5
• 3.125
• 4
• 5
• 6.75

3637人做过此题 平均耗时为16min15s 平均正确率为 47%

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7

In the figure above, V represents an observation point at one end of a pool. From V, an object that is actually located on the bottom of the pool at point R appears to be at point S. If VR = 10 feet, what is the distance RS, in feet, between the actual position and the perceived position of the object？

• $${10}-{5}\sqrt{3}$$
• $${10}-{5}\sqrt{2}$$
• 2
• $${2}\frac{1}{2}$$
• 4

3397人做过此题 平均耗时为2min29s 平均正确率为 87%

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8

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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9

During a trip, Francine traveled x percent of the total distance at an average speed of 40 miles per hour and the rest of the distance at an average speed of 60 miles per hour. In terms of x, what was Francine's average speed for the entire trip?

• $$\frac{180-x}{2}$$
• $$\frac{x+60}{4}$$
• $$\frac{300-x}{5}$$
• $$\frac{600}{115-x}$$
• $$\frac{12000}{x+200}$$

9971人做过此题 平均耗时为24min43s 平均正确率为 62%

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10

if x=-1,then $$\frac{x^4-x^3+x^2}{x-1}$$

• $$-\frac{3}{2}$$
• $$-\frac{1}{2}$$
• 0
• $$\frac{1}{2}$$
• $$\frac{3}{2}$$

6240人做过此题 平均耗时为7min36s 平均正确率为 62%

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11

A toy store regularly sells all stock at a discount of 20 percent to 40 percent. If an additional 25 percent were deducted from the discount price during a special sale, what would be the lowest possible price of a toy costing $16 before any discount?

• $5.60
• $7.20
• $8.80
• $9.60
• $15.20

3194人做过此题 平均耗时为11min0s 平均正确率为 47%

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12

The shaded portion of the rectangular lot shown above represents a flower bed. If the area of the bed is 24 square yards and x = y + 2, then z equals

• $$\sqrt{13}$$
• $${2}\sqrt{13}$$
• 6
• 8
• 10

1489人做过此题 平均耗时为2min1s 平均正确率为 79%

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13

Jack is now 14 years older than Bill. If in 10 years Jack will be twice as old as Bill, how old will Jack be in 5 years?

• 9
• 19
• 21
• 23
• 33

7382人做过此题 平均耗时为21min50s 平均正确率为 46%

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14

An empty pool being filled with water at a constant rate takes 8 hours to fill to $$\frac{3}{5}$$ of its capacity. How much more time will it take to finish filling the pool?

• 5 hrs. 30 mins.
• 5 hrs. 20 mins.
• 4 hrs. 48 mins.
• 3 hrs. 12 mins.
• 2 hrs. 40 mins.

4566人做过此题 平均耗时为20min23s 平均正确率为 57%

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15

A positive number x is multiplied by 2, and this product is then divided by 3. If the positive square root of the result of these two operations equals x, what is the value of x ?

• $$\frac{9}{4}$$
• $$\frac{3}{2}$$
• $$\frac{4}{3}$$
• $$\frac{2}{3}$$
• $$\frac{1}{2}$$

1529人做过此题 平均耗时为1min53s 平均正确率为 76%

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16

A tank contains 10,000 gallons of a solution that is 5 percent sodium chloride by volume. If 2,500 gallons of water evaporate from the tank, the remaining solution will be approximately what percent sodium chloride?

• 1.25%
• 3.75%
• 6.25%
• 6.67%
• 11.7%

7311人做过此题 平均耗时为29min3s 平均正确率为 46%

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17

For any positive integer n, the sum of the first n positive integers equals $$\frac{n(n+1)} 2$$. What is the sum of all the even integers between 99 and 301?

• 10,100
• 20,200
• 22,650
• 40,200
• 45,150

10000人做过此题 平均耗时为4min28s 平均正确率为 66%

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18

A committee is composed of w women and m men. If 3 women and 2 men are added to the committee, and if one person is selected at random from the enlarged committee, then the probability that a woman is selected can be represented by

• $$\frac{w}{m}$$
• $$\frac{w}{w+m}$$
• $$\frac{w+3}{m+2}$$
• $$\frac{w+3}{w+m+3}$$
• $$\frac{w+3}{w+m+5}$$

9992人做过此题 平均耗时为4min7s 平均正确率为 60%

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19

How many prime numbers between 1 and 100 are factors of 7,150 ?

• One
• Two
• Three
• Four
• Five

7765人做过此题 平均耗时为29min33s 平均正确率为 51%

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20

The figure above shows a circular flower bed, with its center at O, surrounded by a circular path that is 3 feet wide. What is the area of the path, in square feet?

• 25π
• 38π
• 55π
• 57π
• 64π

1389人做过此题 平均耗时为1min14s 平均正确率为 87%

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