DS-OG20：第1-20题 练习册详情

1

What is the number of pages of a certain journal article?

(1)The size of each page is $$5\frac{1}{2}$$ inches by 8 inches.

(2)The average(arit metic mean)number of words per page is 250.

• Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.
• Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.
• BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.
• Each statement ALONE is sufficient.
• Statements (1) and (2) TOGETHER are NOT sufficient.

4638人做过此题 平均耗时为14min51s 平均正确率为 45%

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2

if a certain vase contains only roses and tulips, how many tulips are there in the vase?

(1 )The number of roses in the vase is 4 times the number of tulips in the vase .

(2)There is a total of 20 flowers in the vase.

• Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.
• Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.
• BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.
• Each statement ALONE is sufficient.
• Statements (1) and (2) TOGETHER are NOT sufficient.

4338人做过此题 平均耗时为9min28s 平均正确率为 51%

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3

The cost of 10 pounds of apples and 2 pounds of grapes was $12. What was the cost per pound of apples?

(1)The cost per pound of grapes was $2

(2)The cost of 2 pounds of apples was less than the cost of 1 pound of grapes.

• Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.
• Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.
• BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.
• Each statement ALONE is sufficient.
• Statements (1) and (2) TOGETHER are NOT sufficient.

4211人做过此题 平均耗时为15min22s 平均正确率为 66%

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4

What was the median annual salary for the employees at Company X last year?

(1)Last year there were 29 employees at Company X

(2)Last year 12 employees at Company X had an annual salary of $24,000

• Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.
• Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.
• BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.
• Each statement ALONE is sufficient.
• Statements (1) and (2) TOGETHER are NOT sufficient.

4095人做过此题 平均耗时为13min6s 平均正确率为 49%

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5

How many basic units of currency X are equivalent to 250 basic units of currency Y?

(1)100 basic units of currency X are equivalent to 625 basic units of currency Y.

(2)2,000 basic units of currency X are equivalent to 12, 500 basic units of currency Y

• Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.
• Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.
• BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.
• Each statement ALONE is sufficient.
• Statements (1) and (2) TOGETHER are NOT sufficient.

3980人做过此题 平均耗时为12min42s 平均正确率为 44%

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6

A company bought 3 printers and 1 scanner. What was the price of the scanner?

(1)The total price of the printers and the scanner was $1, 300.

(2)The price of each printer was 4 times the price of the scanner.

• Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.
• Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.
• BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.
• Each statement ALONE is sufficient.
• Statements (1) and (2) TOGETHER are NOT sufficient.

3859人做过此题 平均耗时为8min17s 平均正确率为 55%

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7

In the figure above, point D is on $$\overline {AC}$$. What is the degree measure of $$\angle BAC$$?

（1）The measure of $$\angle BDC$$ is 60°.

（2）The degree measure of $$\angle BAC$$ is less than the degree measure of $$\angle BDC$$.

• Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.
• Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.
• BOTH statement TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.
• EACH statement ALONE is sufficient.
• Statements (1) and (2) TOGETHER are NOT sufficient.

3664人做过此题 平均耗时为12min58s 平均正确率为 63%

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8

Each of the 256 solid-colored marbles in a box is either blue, green, or purple What is the ratio of the number of blue marbles to the number of purple marbles in the box?

(1)The number of green marbles in the box is 4 times the number of blue marbles in the box.

(2)There are 192 green marbles in the box.

• Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.
• Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.
• BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.
• Each statement ALONE is sufficient.
• Statements (1) and (2) TOGETHER are NOT sufficient.

3436人做过此题 平均耗时为14min22s 平均正确率为 53%

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9

A certain mixture of paint requires blue, yellow, and red paints in ratios of 2:3:1, respectively, and no other ingredients. If there are ample quantities of the blue and red paints available, is there enough of the yellow paint available to make the desired amount of the mixture?

(1) Exactly 20 quarts of the mixture are needed.

(2) Exactly 10 quarts of the yellow paint are available.

• Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.
• Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.
• BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.
• EACH statement ALONE is sufficient.
• Statements (1) and (2) TOGETHER are NOT sufficient.

4221人做过此题 平均耗时为28min37s 平均正确率为 61%

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10

The research funds of a certain company were divided among three departments, X, Y, and Z. Which one of the three departments received the greatest proportion of the research funds?

(1)The research funds received by departments X and Y were in the ratio 3 to 5, respectively.

(2)The research funds received by departments X and Z were in the ratio 2 to 1, respectively.

• Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.
• Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.
• BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.
• Each statement ALONE is sufficient.
• Statements (1) and (2) TOGETHER are NOT sufficient.

3698人做过此题 平均耗时为13min55s 平均正确率为 64%

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11

In a certain class, some students donated cans of food to a local food bank .What was the average(arithmetic mean)number of cans donated per student in the class?

(1) The students donated a total of 56 cans of food.

(2) The total number of cans donated was 40 greater than the total number of students in the class.

• Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.
• Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.
• BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.
• Each statement ALONE is sufficient.
• Statements (1) and (2) TOGETHER are NOT sufficient.

3620人做过此题 平均耗时为12min18s 平均正确率为 52%

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12

Each of the n employees at a certain company has a different annual salary.What is the median of the annual salaries of the n employees?

(1)When the annual salaries of the n employees are listed in increasing order, the median is the 15th salary.

(2)The sum of the annual salaries of the n employees is $913, 500.

• Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.
• Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.
• BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.
• Each statement ALONE is sufficient.
• Statements (1) and (2) TOGETHER are NOT sufficient.

3717人做过此题 平均耗时为15min28s 平均正确率为 53%

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13

In a recent town election, what was the ratio of the number of votes in favor of a certain proposal to the number of votes against the proposal?

(1) There were 60 more votes in favor of the proposal than against the proposal.

(2)There were 240 votes in favor of the proposal.

• Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.
• Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.
• BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.
• Each statement ALONE is sufficient.
• Statements (1) and (2) TOGETHER are NOT sufficient.

3544人做过此题 平均耗时为10min52s 平均正确率为 65%

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14

How many men are in a certain company's vanpool program?

(1)The ratio of men to women in the program is 3 to 2.

(2)The men and women in the program fill 6 vans.

• Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.
• Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.
• BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.
• Each statement ALONE is sufficient.
• Statements (1) and (2) TOGETHER are NOT sufficient.

3702人做过此题 平均耗时为10min26s 平均正确率为 60%

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15

Each of the marbles in a jar is either red or white or blue. If one marble is to be selected at random from the jar, what is the probability that the marble will be blue?

(1) There are a total of 24 marbles in the jar, 8 of which are red.

(2) The probability that the marble selected will be white is $$\frac{1}{2}$$.

• Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.
• Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.
• BOTH statement TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.
• EACH statement ALONE is sufficient.
• Statements (1) and (2) TOGETHER are NOT sufficient.

4122人做过此题 平均耗时为12min13s 平均正确率为 68%

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16

In the figure above, what is the value of z?

(1) x=y=1

(2)w=2

• Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.
• Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.
• BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.
• EACH statement ALONE is sufficient.
• Statements (1) and (2) TOGETHER are NOT sufficient.

3590人做过此题 平均耗时为8min48s 平均正确率为 55%

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17

What is the value of 10 percent of y?

(1) 5 percent of y is 60.

(2) y is 80 percent of 1,500.

• Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.
• Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.
• BOTH statement TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.
• EACH statement ALONE is sufficient.
• Statements (1) and (2) TOGETHER are NOT sufficient.

3888人做过此题 平均耗时为6min6s 平均正确率为 54%

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18

 Last semester, Professor K taught two classes, A and B. Each student in class A handed in 7 assignments, and each student in class B handed in 5 assignments. How many students were in class A

(1)The students in both classes combined handed in a total of 85 assignments.

(2)There were 10 students in class B

• Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.
• Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.
• BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.
• Each statement ALONE is sufficient.
• Statements (1) and (2) TOGETHER are NOT sufficient.

3554人做过此题 平均耗时为14min15s 平均正确率为 66%

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19

Was the amount of Johns heating bill for February greater than it was for January?

(1)The ratio of the amount of John's heating bill for February to that for January was $${\frac{26}{25}}$$ .

(2)The sum of the amounts of John's heating bills for January and February a was$183.60.

• Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.
• Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.
• BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.
• Each statement ALONE is sufficient.
• Statements (1) and (2) TOGETHER are NOT sufficient.

3660人做过此题 平均耗时为11min11s 平均正确率为 42%

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20

If sequence S has 120 terms, what is the 105th term of S?

(1) The first term of S is −8.

(2) Each term of S after the first term is 10 more than the preceding term.

• Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.
• Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.
• BOTH statement TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.
• EACH statement ALONE is sufficient.
• Statements (1) and (2) TOGETHER are NOT sufficient.

3780人做过此题 平均耗时为7min17s 平均正确率为 59%

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