DS-OG：第21-40题 练习册详情

1

What percent of the drama club members enrolled at a certain school are female students?

(1)Of the female students enrolled at the school, 40 percent are members of the drama club.

(2)Of the male students enrolled at the school, 25 percent are members of the drama club.

• 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.

9988人做过此题 平均耗时为11min19s 平均正确率为 46%

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2

A family-size box of cereal contains more cereal and costs more than the regular-sizebox of cereal. What is the cost per ounce of the family-size box of cereal?

(1)The family-size box of cereal contains 10 ounces more than the regular-size box of cereal.

(2)The family-size box of cereal costs $5.40.

• 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.

9969人做过此题 平均耗时为5min44s 平均正确率为 47%

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3

The profit from the sale of a certain appliance increases, though not proportionally, with the number of units sold. Did the profit exceed $4 million on sales of 380,000 units?

(1)The profit exceeded $2 million on sales of 200,000 units.

(2)The profit exceeded $5 million on sales of 350,000 units.

• 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.

9967人做过此题 平均耗时为11min31s 平均正确率为 65%

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4

If n is an integer, is n even?

(1)$n^2 - 1$ is an odd integer.

(2)3n + 4 is an even integer.

• 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.

3360人做过此题 平均耗时为4min2s 平均正确率为 64%

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5

Carmen currently works 30 hours per week at her part-time job. If her gross hourly wage were to increase by $1.50, how many fewer hours could she work per week and still earn the same gross weekly pay as before the increase?

(1)Her gross weekly pay is currently $225.00.

(2)An increase of $1.50 would represent an increase of 20 percent of her current gross hourly wage.

• 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.

9966人做过此题 平均耗时为8min6s 平均正确率为 42%

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6

The number n of units of its product that Company X is scheduled to produce in month t of its next fiscal year is given by the formula ${n}=\frac{900} {1+{c2}^{-t}}$, where c is a constant and t is a positive integer between 1 and 6, inclusive. What is the number of units of its product that Company X is scheduled to produce in month 6 of its next fiscal year?

(1)Company X is scheduled to produce 180 units of its product in month 1 of its next fiscal year.

(2)Company X is scheduled to produce 300 units of its product in month 2 of its next fiscal year.

• 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.

4511人做过此题 平均耗时为6min28s 平均正确率为 55%

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7

When 200 gallons of oil were removed from a tank, the volume of oil left in the tank was $\frac 3 7$ of the tank's capacity. What was the tank's capacity?

(1)Before the 200 gallons were removed, the volume of oil in the tank was $\frac1 2$ of the tank's capacity.

(2)After the 200 gallons were removed, the volume of oil left in the tank was 1,600 gallons less than the tank's capacity.

• 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.

9973人做过此题 平均耗时为6min47s 平均正确率为 67%

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8

Division R of Company Q has 1,000 employees. What is the average (arithmetic mean) annual salary of the employees at Company Q?

(1)The average annual salary of the employees in Division R is $30,000.

(2)The average annual salary of the employees at Company Q who are not in Division R is $35,000.

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

9963人做过此题 平均耗时为5min47s 平均正确率为 61%

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9

A circular tub has a band painted around its circumference, as shown above. What is the surface area of this painted band?

(1)x = 0.5

(2)The height of the tub is 1 meter.

• 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.

9980人做过此题 平均耗时为6min36s 平均正确率为 70%

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10

What is the value of integer n ?

(1)n(n+1) = 6

(2)${2}^{2n}$ = 16

• 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.

5022人做过此题 平均耗时为46s 平均正确率为 66%

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11

d = 0.43t7

If t denotes the thousandths digit in the decimal representation of d above, what digit is t ?

(1)If d were rounded to the nearest hundredth, the result would be 0.44.

(2)If d were rounded to the nearest thousandth, the result would be 0.436.

• 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.

2651人做过此题 平均耗时为1min6s 平均正确率为 77%

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12

Jerry bought 7 clothing items, including a coat, and the sum of the prices of these items was $365. If there was no sales tax on any clothing item with a price of less than $100 and a 7 percent sales tax on all other clothing items, what was the total sales tax on the 7 items that Jerry bought?

(1)The price of the coat was $125.

(2)The average (arithmetic mean) price for the 6 items other than the coat was $40.

• 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.

9983人做过此题 平均耗时为12min21s 平均正确率为 58%

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13

What was the price at which a merchant sold a certain appliance?

(1)The merchant's gross profit on the appliance was 20 percent of the price at which the merchant sold the appliance.

(2)The price at which the merchant sold the appliance was $50 more than the merchant's cost of the appliance.

• 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.

9996人做过此题 平均耗时为6min39s 平均正确率为 68%

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14

The inside of a rectangular carton is 48 centimeters long, 32 centimeters wide, and 15 centimeters high. The carton is filled to capacity with k identical cylindrical cans of fruit that stand upright in rows and columns, as indicated in the figure above. If the cans are 15 centimeters high, what is the value of k ?

(1)Each of the cans has a radius of 4 centimeters.

(2)Six of the cans fit exactly along the length of the carton.

• 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.

3237人做过此题 平均耗时为1min34s 平均正确率为 75%

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15

For the system of equations given, what is the value of z?

(1)x=7

(2)t = 5

• 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.

6824人做过此题 平均耗时为12min46s 平均正确率为 59%

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16

For all integers n, the function f is defined by ${f}({n})={a}^{n}$, where a is a constant. What is the value of $f (1)$?

(1)$f (2) = 100$

(2)$f (3) = -1,000$

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

6498人做过此题 平均耗时为51s 平均正确率为 65%

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17

The selling price of an article is equal to the cost of the article plus the markup. The markup on a certain television set is what percent of the selling price?

(1)The markup on the television set is 25 percent of the cost.

(2)The selling price of the television set 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 statement TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.
• EACH statement ALONE is sufficient.
• Statements (1) and (2) TOGETHER are NOT sufficient.

9978人做过此题 平均耗时为8min3s 平均正确率为 65%

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18

If ${p}_{1}$ and ${p}_{2}$ are the populations and ${r}_{1}$ and ${r}_{2}$ are the numbers of representatives of District 1 and District 2, respectively, the ratio of the population to the number of representatives is greater for which of the two districts?

(1)${p}_{1} >{p}_{2}$

(2)${r}_{2} >{r}_{1}$

• 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.

6180人做过此题 平均耗时为22min58s 平均正确率为 44%

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19

In a random sample of 80 adults, how many are college graduates?

(1)In the sample, the number of adults who are not college graduates is 3 times the number who are college graduates.

(2)In the sample, the number of adults who are not college graduates is 40 more than the number who are college graduates.

• 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.

9972人做过此题 平均耗时为5min47s 平均正确率为 53%

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20

The table above shows the distance, in kilometers, by the most direct route, between any two of the four cities, R, S, T, and U. For example, the distance between City R and City U is 62 kilometers. What is the value of x ?

(1)By the most direct route, the distance between S and T is twice the distance between S and R.

(2)By the most direct route, the distance between T and U is 1.5 times the distance between R and T.

• 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.

2215人做过此题 平均耗时为1min34s 平均正确率为 83%

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