DS-OG：第141-160题 练习册详情

1

Committee X and Committee Y, which have no common members, will combine to form Committee Z. Does Committee X have more members than Committee Y ?

(1)The average (arithmetic mean) age of the members of Committee X is 25.7 years and the average age of the members of Committee Y is 29.3 years.

(2)The average (arithmetic mean) age of the members of Committee Z will be 26.6 years.

• 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.

1709人做过此题 平均耗时为1min51s 平均正确率为 68%

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2

What amount did Jean earn from the commission on her sales in the first half of 1988 ?

(1)In 1988 Jean's commission was 5 percent of the total amount of her sales.

(2)The amount of Jean's sales in the second half of 1988 averaged $10,000 per month more than in the first half.

• 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.

1811人做过此题 平均耗时为8min8s 平均正确率为 70%

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3

The price per share of Stock X increased by 10 percent over the same time period that the price per share of Stock Y decreased by 10 percent. The reduced price per share of Stock Y was what percent of the original price per share of Stock X ?

(1)The increased price per share of Stock X was equal to the original price per share of Stock Y.

(2)The increase in the price per share of Stock X was $$\frac{10} {11}$$ the decrease in the price per share of Stock 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 statement TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.
• EACH statement ALONE is sufficient.
• Statements (1) and (2) TOGETHER are NOT sufficient.

9998人做过此题 平均耗时为11min20s 平均正确率为 65%

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4

In the figure above, if the area of triangular region D is 4, what is the length of a side of square region A ?

(1)The area of square region B is 9.

(2)The area of square region C is $$\frac{64}{9}$$

• 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.

2723人做过此题 平均耗时为8min58s 平均正确率为 55%

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5

If Sara's age is exactly twice Bill's age, what is Sara's age?

(1)Four years ago, Sara's age was exactly 3 times Bill's age.

(2)Eight years from now, Sara's age will be exactly 1.5 times Bill's age.

• 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.

5296人做过此题 平均耗时为8min24s 平均正确率为 58%

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6

A report consisting of 2,600 words is divided into 23 paragraphs. A 2-paragraph preface is then added to the report. Is the average (arithmetic mean) number of words per paragraph for all 25 paragraphs less than 120 ?

(1)Each paragraph of the preface has more than 100 words.

(2)Each paragraph of the preface has fewer than 150 words.

• 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.

9975人做过此题 平均耗时为14min54s 平均正确率为 69%

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7

A certain bookcase has 2 shelves of books. On the upper shelf, the book with the greatest number of pages has 400 pages. On the lower shelf, the book with the least number of pages has 475 pages. What is the median number of pages for all of the books on the 2 shelves?

(1)There are 25 books on the upper shelf.

(2)There are 24 books on the lower shelf.

• 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.

9931人做过此题 平均耗时为12min38s 平均正确率为 49%

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8

The figure above shows the number of meters in the lengths of the four sides of a jogging path. What is the total distance around the path?

(1)One of the sides of the path is 120 meters long.

(2)One of the sides of the path is twice as long as each of the two shortest sides.

• 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.

612人做过此题 平均耗时为1min39s 平均正确率为 70%

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9

In the rectangular coordinate system above, if OP < PQ, is the area of region OPQ greater than 48 ?

(1)The coordinates of point P are (6,8).

(2)The coordinates of point Q are (13,0).

• 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.

9960人做过此题 平均耗时为12min30s 平均正确率为 59%

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10

$${S}=\frac{\frac{2}{n}}{\frac{1}{x}+\frac{2}{3x}}$$

In the expression above, if $${x}{n}≠{0}$$, what is the value of S?

(1)x = 2n

(2)$$n =\frac{1}{2}$$

• 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.

1068人做过此题 平均耗时为1min20s 平均正确率为 79%

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11

If n is a positive integer and $$k = {5.1}*{10}^{n}$$, what is the value of k ?

(1)$$6,000 < k < 500,000$$

(2)$${k}^{2}={2.601}*{10}^{9}$$

• 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.

9998人做过此题 平均耗时为12min16s 平均正确率为 40%

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12

If Carmen had 12 more tapes, she would have twice as many tapes as Rafael. Does Carmen have fewer tapes than Rafael?

(1)Rafael has more than 5 tapes.

(2)Carmen has fewer than 12 tapes.

• 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.

1281人做过此题 平均耗时为2min56s 平均正确率为 50%

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13

If x is an integer, is $$x \mid x \mid < {2}^{X}$$ ?

(1)$$x < 0$$

(2)$$x = -10$$

• 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7min9s 平均正确率为 51%

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14

If n is a positive integer, is the value of b - a at least twice the value of $${3}^{n}-{2}^{n}$$ ?

(1)$$a ={2}^{n+1}$$ and $$b={3}^{n+1}$$

(2)$$n = 3$$

• 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.

5989人做过此题 平均耗时为30min41s 平均正确率为 43%

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15

The inflation index for the year 1989 relative to the year 1970 was 3.56, indicating that, on the average, for each dollar spent in 1970 for goods, $3.56 had to be spent for the same goods in 1989. If the price of a Model K mixer increased precisely according to the inflation index, what was the price of the mixer in 1970 ?

(1)The price of the Model K mixer was $102.40 more in 1989 than in 1970.

(2)The price of the Model K mixer was $142.40 in 1989.

• 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.

9960人做过此题 平均耗时为9min7s 平均正确率为 56%

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16

Is $${5}^{k}$$ less than 1,000 ?

(1)$${5}^{k+1} >3,000$$

(2)$${5}^{k-1}={5}^{k}-500$$

• 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.

1430人做过此题 平均耗时为2min22s 平均正确率为 71%

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17

The hypotenuse of a right triangle is 10 cm. What is the perimeter, in centimeters, of the triangle?

(1)The area of the triangle is 25 square centimeters.

(2)The 2 legs of the triangle are of equal length.

• 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.

10000人做过此题 平均耗时为2min40s 平均正确率为 68%

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18

Every member of a certain club volunteers to contribute equally to the purchase of a $60 gift certificate. How many members does the club have?

(1)Each member's contribution is to be $4.

(2)If 5 club members fail to contribute, the share of each contributing member will increase by $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.

5270人做过此题 平均耗时为25min16s 平均正确率为 46%

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19

If $$x < 0$$, is $$y > 0$$ ?

(1)$$\frac{x}{y}<{0}$$

(2)$$y-x >0$$

• 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.

1160人做过此题 平均耗时为49s 平均正确率为 81%

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20

What is the circumference of the circle above with center 0 ?

(1)The perimeter of $$\Delta OXZ$$ is $$20+10\sqrt 2$$

(2)The length of arc $$XYZ$$ is $$5\pi$$.

• 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.

9938人做过此题 平均耗时为5min53s 平均正确率为 43%

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