DS-OG22: 第283-302题 练习册详情

1

 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 60%

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2

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 59%

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3

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 60%

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4

If all of the six faces of a concrete block are rectangular, what is the volume of the block?

(1) Each of the four lateral faces of the block has an area of 200 square inches.

(2) The top of the block is square and has an area of 400 square inches.

• 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.

0人做过此题 平均耗时为0 平均正确率为 0%

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5

Machine R and machine S work at their respective constant rates. How a much time does it take machine R, working alone, to complete a certain job?

(1) The amount of time that it takes machine S, working alone, to complete the job is $${\frac{3}{4}}$$  the amount of time that it takes machin R, working alone, to complete the job

(2)Machine R and machine S, working together, take 12 minutes to complete the job

• 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.

1501人做过此题 平均耗时为9min43s 平均正确率为 47%

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6

If u > 0 and v > 0, which is greater, $${u}^{v}$$ or $${v}^{u}$$?

(1) u = 1

(2)v > 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.

1564人做过此题 平均耗时为8min56s 平均正确率为 47%

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7

What was the range of the selling prices of the 30 wallets sold by a certain store yesterday?

(1) $$\frac{1}{3}$$ of the wallets had a selling price of $24 each.

(2) The lowest selling price of the wallets was $$\frac{1}{3}$$ the highest selling price of the wallets.

• 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.

9679人做过此题 平均耗时为22min1s 平均正确率为 65%

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8

Three houses are being sold through a real estate agent. What is the asking price for the house with the second-largest asking price?

(1) The difference between the greatest and the least asking price is $130,000.

(2) The difference between the two greater asking prices is $85,000.

• 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.

1764人做过此题 平均耗时为11min43s 平均正确率为 52%

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9

13. If a+b+c= 12, what is the value of b?

(1)a+b=8

(2)b+c=6

• 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.

1447人做过此题 平均耗时为3min52s 平均正确率为 67%

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10

Is rw = 0?

(1) −6 < r < 5

(2) 6 < w < 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.

1757人做过此题 平均耗时为4min31s 平均正确率为 59%

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11

Is $$x=\frac{1}{y}$$ ?

(1) xy = 1

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

• 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.

1736人做过此题 平均耗时为5min29s 平均正确率为 46%

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12

How many people in a group of 50 own neither a fax machine nor a laser printer?

(1) The total number of people in the group who own a fax machine or a laser printer or both is less than 50.

(2) The total number of people in the group who own both a fax machine and a laser printer is 15.

• 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.

1667人做过此题 平均耗时为10min16s 平均正确率为 49%

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13

What is the value of $${w}^{-2}$$?

(1) $${w}^{-1}$$ = $$\frac{1}{2}$$

(2) $${w}^{3}$$ = 8

• 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.

1719人做过此题 平均耗时为4min11s 平均正确率为 57%

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14

What is the value of z in the figure above?

(1) x = 50

(2) y = 35

• 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.

0人做过此题 平均耗时为0 平均正确率为 0%

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15

A certain investment earned a fixed rate of 4 percent interest per year, compounded annually, for five years. The interest earned for the third year of the investment was how many dollars greater than that for the first year?

(1) The amount of the investment at the beginning of the second year was $4,160.00.

(2) The amount of the investment at the beginning of the third year was $4,326.40.

• 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.

1726人做过此题 平均耗时为11min26s 平均正确率为 44%

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16

What is the circumference of circle C?

(1)The radius of circle C is 2π

(2)The center of circle C is located at point (7, 8)in the xy-plane

• 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.

1365人做过此题 平均耗时为4min40s 平均正确率为 42%

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17

What is the value of t ?

(1) s + t = 6 + s

(2) $${t}^{3}$$ = 216

• 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.

1096人做过此题 平均耗时为2min2s 平均正确率为 40%

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18

For a certain car repair, the total charge consisted of a charge for parts, a charge for labor, and a 6 percent sales tax on both the charge for parts and the charge for labor. If the charge for parts, excluding sales tax, was $50.00, what was the total charge for the repair?

(1) The sales tax on the charge for labor was $9.60.

(2) The total sales tax was $12.60.

• 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 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12min57s 平均正确率为 41%

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19

George has a total of B books in his library, 25 of which are hardcover fiction books. What is the value of B ?

(1) 40 of the B books are fiction and the rest are nonfiction.

(2) 60 of the B books are hardcovers and the rest are paperbacks.

• 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.

731人做过此题 平均耗时为6min52s 平均正确率为 46%

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20

Is w + $${h}^{4}$$ positive?

(1) h is positive.

(2) w is positive.

• 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.

1019人做过此题 平均耗时为2min9s 平均正确率为 44%

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