DS-OG19：第391-404题 练习册详情

1

If q, s, and t are all different numbers, is q < s < t?

(1) t - q = |t - s| + |s - q|

(2) t > q

• 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.

321人做过此题 平均耗时为3min23s 平均正确率为 62%

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2

What is the median number of employees assigned per project for the projects at Company Z?

(1)25 percent of the projects at Company Z have 4 or more employees assigned to each project.

(2)35 percent of the projects at Company Z have 2 or fewer employees assigned to each project.

• 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7min34s 平均正确率为 49%

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3

Last year, a certain company began manufacturing product X and sold every unit of product X that it produced. Last year the company's total expenses for manufacturing product X were equal to $100,000 plus 5 percent of the company's total revenue from all units of product X sold. If the company made a profit on product X last year, did the company sell more than 21,000 units of product X last year?

(1) The company's total revenue from the sale of product X last year was greater than $110,000

(2) For each unit of product X sold last year, the company's revenue was $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.

9997人做过此题 平均耗时为16min21s 平均正确率为 68%

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4

Beginning in January of last year, Carl made deposits of $120 into his account on the 15th of each month for several consecutive months and then made withdrawals of $50 from the account on the 15th of each of the remaining months of last year. There were no other transactions in the account last year. If the closing balance of Carl's account for May of last year was $2,600, what was the range of the monthly closing balances of Carl's account last year?

(1)Last year the closing balance of Carl's account for April was less than $2,625.

(2)Last year the closing balance of Carl's account for June was less than $2,675.

• 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.

5062人做过此题 平均耗时为16min36s 平均正确率为 41%

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5

Are all of the numbers in a certain list of 15 numbers equal?

(1)The sum of all the numbers in the list is 60.

(2)The sum of any 3 numbers in the list is 12.

• 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1min46s 平均正确率为 80%

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6

If the average (arithmetic mean) of six numbers is 75, how many of the numbers are equal to 75 ?

(1)None of the six numbers is less than 75.

(2)None of the six numbers is greater than 75.

• 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.

1612人做过此题 平均耗时为4min52s 平均正确率为 65%

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7

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 54%

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8

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 54%

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9

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 60%

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10

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 69%

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11

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 46%

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12

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 47%

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13

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 40%

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14

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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