DS-OG16：第161-174题 练习册详情

1

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 52%

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2

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 51%

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3

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 59%

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4

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 40%

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5

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 48%

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6

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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7

What is the value of x + y in the figure above?

(1)W=95

(2)Z=125

• 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.

9991人做过此题 平均耗时为8min21s 平均正确率为 65%

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8

If n and k are positive integers, is $$\sqrt{n+k} >2\sqrt{n}$$?

(1)$$k > 3n$$

(2)$$n + k > 3n$$

• 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.

9957人做过此题 平均耗时为12min6s 平均正确率为 51%

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9

In a certain business, production index p is directly proportional to efficiency index e, which is in turn directly proportional to investment index i. What is p if i = 70 ?

(1)e = 0.5 whenever i = 60.

(2)p = 2.0 whenever i = 50.

• 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12min15s 平均正确率为 53%

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10

If n is a positive integer, is$${(\frac{1}{10})}^{n}<0.01$$

(1)$$n >2$$

(2)$$(\frac{1}{10})^{n-1}<0.1$$

• 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.

9990人做过此题 平均耗时为11min40s 平均正确率为 42%

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11

If n is a positive integer, what is the tens digit of n ?

(1)The hundreds digit of 10n is 6.

(2)The tens digit of n + 1 is 7.

• 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.

9432人做过此题 平均耗时为24min56s 平均正确率为 67%

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12

What is the value of $$\frac{(2t+t-x)}{(t-x)}$$

(1)$$\frac{2t}{t-x}=3$$

(2)t-x=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.

10000人做过此题 平均耗时为1min7s 平均正确率为 86%

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13

Is n an integer?

(1)$${n}^{2}$$ is an integer.

(2)$$\sqrt{n}$$ is an 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.

5722人做过此题 平均耗时为5min13s 平均正确率为 55%

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14

If x, y, and z are positive integers, is x - y odd?

(1)$$x = z^2$$

(2)$$y = (z-1)^2$$

• 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.

9951人做过此题 平均耗时为9min47s 平均正确率为 48%

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