PS-OG：第360-380题 练习册详情

1

What is the sum of the odd integers from 35 to 85, inclusive?

• 1,560
• 1,500
• 1,240
• 1,120
• 1,100

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2

Three people each contributed x dollars toward the purchase of a car. They then bought the car for y dollars, an amount less than the total number of dollars contributed. If the excess amount is to be refunded to the three people in equal amounts, each person should receive a refund of how many dollars?

• $$\frac{3x - y}{3}$$
• $$\frac{x - y}{3}$$
• $$\frac{x - 3y}{3}$$
• $$\frac{y - 3x}{3}$$
• 3(x - y)

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3

If x > y and y > z, which of the following represents the greatest number?

• x ‒ z
• x ‒ y
• y ‒ x
• z ‒ y
• z ‒ x

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4

At a garage sale, all of the prices of the items sold were different. If the price of a radio sold at the garage sale was both the 15th highest price and the 20th lowest price among the prices of the items sold, how many items were sold at the garage sale?

• 33
• 34
• 35
• 36
• 37

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5

A rope 20.6 meters long is cut into two pieces. If the length of one piece of rope is 2.8 meters shorter than the length of the other, what is the length, in meters, of the longer piece of rope?

• 7.5
• 8.9
• 9.9
• 10.3
• 11.7

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6

How many integers x satisfy both 2 < x ≤ 4 and 0 ≤ x ≤ 3 ?

• 5
• 4
• 3
• 2
• 1

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7

A total of 5 liters of gasoline is to be poured into two empty containers with capacities of 2 liters and 6 liters, respectively, such that both containers will be filled to the same percent of their respective capacities. What amount of gasoline, in liters, must be poured into the 6-liter container?

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

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8

If r and s are positive integers such that$$ ({2}^{r})(4^{s}) = 16$$, then $$2r + s =$$

• 2
• 3
• 4
• 5
• 6

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9

A certain drive-in movie theater has a total of 17 rows of parking spaces. There are 20 parking spaces in the first row and 21 parking spaces in the second row. In each subsequent row there are 2 more parking spaces than in the previous row. What is the total number of parking spaces in the movie theater?

• 412
• 544
• 596
• 632
• 692

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10

$$\frac{3}{100} + \frac{5}{1,000} + \frac{7}{100,000}$$

• 0.357
• 0.3507
• 0.35007
• 0.0357
• 0.03507

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11

In the rectangular coordinate system shown above, points O, P, and Q represent the sites of three proposed housing developments. If a fire station can be built at any point in the coordinate system, at which point would it be equidistant from all three developments?

• (3,1)
• (1,3)
• (3,2)
• (2,2)
• (2,3)

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12

If Mel saved more than $10 by purchasing a sweater at a 15 percent discount, what is the smallest amount the original price of the sweater could be, to the nearest dollar?

• 45
• 67
• 75
• 83
• 150

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13

The annual budget of a certain college is to be shown on a circle graph. If the size of each sector of the graph is to be proportional to the amount of the budget it represents, how many degrees of the circle should be used to represent an item that is 15 percent of the budget?

• 15°
• 36°
• 54°
• 90°
• 150°

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14

Ada and Paul received their scores on three tests. On the first test, Ada's score was 10 points higher than Paul's score. On the second test, Ada's score was 4 points higher than Paul's score. If Paul's average (arithmetic mean) score on the three tests was 3 points higher than Ada's average score on the three tests, then Paul's score on the third test was how many points higher than Ada's score?

• 9
• 14
• 17
• 23
• 25

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15

Of the total amount that Jill spent on a shopping trip, excluding taxes, she spent 50 percent on clothing, 20 percent on food, and 30 percent on other items. If Jill paid a 4 percent tax on the clothing, no tax on the food, and an 8 percent tax on all other items, then the total tax that she paid was what percent of the total amount that she spent, excluding taxes?

• 2.8%
• 3.6%
• 4.4%
• 5.2%
• 6.0%

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16

Guadalupe owns 2 rectangular tracts of land. One is 300 m by 500 m and the other is 250 m by 630 m. The combined area of these 2 tracts is how many square meters?

• 3,360
• 307,500
• 621,500
• 704,000
• 2,816,000

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17

A grocer has 400 pounds of coffee in stock, 20 percent of which is decaffeinated. If the grocer buys another 100 pounds of coffee of which 60 percent is decaffeinated, what percent, by weight, of the grocer's stock of coffee is decaffeinated?

• 28%
• 30%
• 32%
• 34%
• 40%

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18

The product of 3,305 and the 1-digit integer x is a 5-digit integer. The units (ones) digit of the product is 5 and the hundreds digit is y. If A is the set of all possible values of x and B is the set of all possible values of y, then which of the following gives the members of A and B ?

• {1, 3, 5, 7, 9} {0, 1, 2, 3, 4, 5, 6, 7, 8, 9}
• {1, 3, 5, 7, 9} {1, 3, 5, 7, 9}
• {3, 5, 7, 9} {1, 5, 7, 9}
• {5, 7, 9} {1, 5, 7}
• {5, 7, 9} {1, 5, 9}

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19

If $$x^{2} -2x - 15 = 0 and x>0$$, which of the following must be equal to 0 ?

I. $$x^{2} - 6x +9$$

II. $$x^{2} - 7x +10$$

III. $$x^{2} - 10x +25$$

• I only
• II only
• III only
• II and III only
• I, II, and III

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20

Company C produces toy trucks at a cost of $5.00 each for the first 100 trucks and $3.50 for each additional truck. If 500 toy trucks were produced by Company C and sold for $10.00 each, what was Company C's gross profit?

• $2,250
• $2,500
• $3,100
• $3,250
• $3,500

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