PS-OG22: 第161-180题 练习册详情

1

If $$\frac1 3$$ of the total number of marbles in the three bags listed in the table above are blue, how many marbles are there in bag Q?

• 5
• 9
• 12
• 23
• 46

552人做过此题 平均耗时为7min53s 平均正确率为 70%

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2

The table above gives the age categories of the 161 employees at Company X and the number of employees in each category. According to the table, if m is the median age, in years, of the employees at Company X, then m must satisfy which of the following ?

• $$20 \le m\le 29$$
• $$25 \le m\le 34$$
• $$30 \le m\le 39$$
• $$35 \le m\le 44$$
• $$40 \le m\le 49$$

577人做过此题 平均耗时为4min27s 平均正确率为 50%

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3

If k and n are positive integers such that n > k, the n k! + （n - k） • （k - 1）! is equivale nt to which of the following?

• k-n!
• k!-n
• (n-k)!
• n•(k+1)!
• n•(k-1)!

0人做过此题 平均耗时为0 平均正确率为 0%

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4

Ron is 4 inches taller than Amy ,and Barbara is 1 inch taller than Ron .If Barbara's height is 65 inches ,what is the median height ,in inches ,of these three people ?

• 60
• 61
• 62
• 63
• 64

569人做过此题 平均耗时为3min10s 平均正确率为 64%

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5

If x and y are positive numbers such that x + y = 1, which of the following could be the value of 100x + 200y?

I. 80

II. 140

III. 199

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

1325人做过此题 平均耗时为9min31s 平均正确率为 42%

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6

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 41%

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7

If each of the 12 teams participating in a certain tournament plays exactly one game with each of the other teams, how many games will be played?

• 144
• 132
• 66
• 33
• 23

0人做过此题 平均耗时为0 平均正确率为 0%

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8

If the length of a diagonal of a square is $$2\sqrt{x}$$ what is the area of the square in terms of x?

• $$\sqrt{x}$$
• $$\sqrt{2x}$$
• $$2\sqrt{x}$$
• x
• 2x

0人做过此题 平均耗时为0 平均正确率为 0%

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9

Clarissa will create her summer reading list by randomly choosing 4 books from the 10 books approved for summer reading. She will list the books in the order in which they are chosen. How many different lists are possible?

• 6
• 40
• 210
• 5,040
• 151,200

1151人做过此题 平均耗时为7min30s 平均正确率为 56%

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10

If n is a positive integer and the product of all the integers from 1 to n, inclusive, is a multiple of 990, what is the least possible value of n ?

• 10
• 11
• 12
• 13
• 14

2332人做过此题 平均耗时为16min34s 平均正确率为 43%

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11

The probability that event M will not occur is 0.8 and the probability that event R will not occur is 0.6. If events M and R cannot both occur, which of the following is the probability that either event M or event R will occur?

• $$\frac{1}{5}$$
• $$\frac{2}{5}$$
• $$\frac{3}{5}$$
• $$\frac{4}{5}$$
• $$\frac{12}{25}$$

3541人做过此题 平均耗时为20min46s 平均正确率为 70%

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12

The total cost for Company X to produce a batch of tools is $10,000 plus $3 per tool. Each tool sells for $8. The gross profit earned from producing and selling these tools is the total income from sales minus the total production cost. If a batch of 20,000 tools is produced and sold, then Company X's gross profit per tool is

• $3.00
• $3.75
• $4.50
• $5.00
• $5.50

6297人做过此题 平均耗时为29min18s 平均正确率为 50%

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13

If Q is an odd number and the median of Q consecutive integers is 120, what is the largest of these integers?

• $$\frac{Q-1}{2}+{120}$$
• $$\frac{Q}{2}+{119}$$
• $$\frac{Q}{2}+{120}$$
• $$\frac{Q+119}{2}$$
• $$\frac{Q+120}{2}$$

8675人做过此题 平均耗时为35min32s 平均正确率为 51%

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14

A ladder of a fire truck is elevated to an angle of 60° and extended to a length of 70 feet. If the base of the ladder is 7 feet above the ground, how many feet above the ground does the ladder reach?

• 35
• 42
• $${35}\sqrt{3}$$
• $$7+{35}\sqrt{3}$$
• $$7+{42}\sqrt{3}$$

8775人做过此题 平均耗时为31min20s 平均正确率为 44%

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15

The window in the figure above consists of a rectangle and a semicircle with dimensions as shown. What is the area, in square feet, of the window?

• 40 + 8π
• 40 + 2π
• 32 + 8π
• 32 + 4π
• 32 + 2π

2743人做过此题 平均耗时为7min53s 平均正确率为 49%

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16

If there are fewer than 8 zeros between the decimal point and the first nonzero digit in the decimal expansion of $$(\frac{t}{1000})^{4}$$, which of the following numbers could be the value of t?

I. 3

II. 5

III. 9

• None
• I only
• II only
• III only
• II and III

2767人做过此题 平均耗时为22min32s 平均正确率为 47%

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17

A three-digit code for certain logs uses the digits 0, 1, 2, 3, 4, 5, 6, 7, 8, 9 according to the following constraints. The first digit cannot be 0 or 1, the second digit must be 0 or 1, and the second and third digits cannot both be 0 in the same code. How many different codes are possible?

• 144
• 152
• 160
• 168
• 176

7863人做过此题 平均耗时为25min32s 平均正确率为 51%

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18

Jackie has two solutions that are 2 percent sulfuric acid and 12 percent sulfuric acid by volume, respectively. If these solutions are mixed in appropriate quantities to produce 60 liters of a solution that is 5 percent sulfuric acid, approximately how many liters of the 2 percent solution will be required?

• 18
• 20
• 24
• 36
• 42

1335人做过此题 平均耗时为14min16s 平均正确率为 51%

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19

If Jake loses 8 pounds, he will weigh twice as much as his sister. Together they now weigh 278 pounds. What is Jake's present weight, in pounds?

• 131
• 135
• 139
• 147
• 188

6013人做过此题 平均耗时为21min31s 平均正确率为 55%

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20

For each student in a certain class, a teacher adjusted the student's test score using the formula y = 0.8x + 20, where x is the student's original test score and y is the student's adjusted test score. If the standard deviation of the original test scores of the students in the class was 20, what was the standard deviation of the adjusted test scores of the students in the class?

• 12
• 16
• 28
• 36
• 40

556人做过此题 平均耗时为5min55s 平均正确率为 57%

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