DS-Manhattan：第1-20题 练习册详情

1

What is the value of a?

(1) -(a + b) = 2a – b + 9

(2) a + b = 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 one ALONE is sufficient.
• EACH statement ALONE is sufficient.
• Statements (1) and (2) TOGETHER are NOT sufficient.

3598人做过此题 平均耗时为8min45s 平均正确率为 47%

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2

What was Bill's average speed on his trip of 250 miles from New York City to Boston?

(1) The trip took Bill 5 hours.

(2) At the midpoint of his trip, Bill was going exactly 50 miles per hour.

• 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 one ALONE is sufficient.
• EACH statement ALONE is sufficient.
• Statements (1) and (2) TOGETHER are NOT sufficient.

3116人做过此题 平均耗时为8min16s 平均正确率为 48%

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3

8 cities, including Memphis, are finalists to be chosen to host a political convention. Exactly one city will be chosen to host the convention. What is the probability that Memphis is not chosen?

(1) The probability that any one of the 8 cities does not win the competition is 7/8.

(2) The probability that Memphis wins the competition is 1/8.

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

2766人做过此题 平均耗时为13min53s 平均正确率为 51%

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4

What percent of x is $$\frac{3}{4}$$?

(1) x = 5y

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

2616人做过此题 平均耗时为7min38s 平均正确率为 58%

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5

If Company X sold 6,000 newspapers last year, how many will it sell this year?

(1) Two years ago, Company X sold 5,000 newspapers.

(2) Three years ago, Company X sold 4,000 newspapers.

• 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 one ALONE is sufficient.
• EACH statement ALONE is sufficient.
• Statements (1) and (2) TOGETHER are NOT sufficient.

2343人做过此题 平均耗时为5min59s 平均正确率为 46%

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6

Is the positive integer x divisible by 6?

(1) x is divisible by 12.

(2) x is divisible by 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 statements TOGETHER are sufficient, but NEITHER one ALONE is sufficient.
• EACH statement ALONE is sufficient.
• Statements (1) and (2) TOGETHER are NOT sufficient.

2138人做过此题 平均耗时为4min49s 平均正确率为 59%

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7

Bob works exactly 8 hours per day assembling widgets at a constant rate. How many widgets can he assemble in half of a workday?

(1) Bob produces 20 widgets in a full workday.

(2) Bob produces 50 widgets in 20 hours.

• 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 one ALONE is sufficient.
• EACH statement ALONE is sufficient.
• Statements (1) and (2) TOGETHER are NOT sufficient.

1913人做过此题 平均耗时为7min49s 平均正确率为 40%

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8

A certain box contains only red balls and green balls. If one ball is randomly selected from the box, what is the probability that it is red?

(1) Red balls comprise exactly two-thirds of all the balls in the box.

(2) The probability of selecting a green ball from the box is$$\frac{ 1}{3}$$.

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

1870人做过此题 平均耗时为6min6s 平均正确率为 45%

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9

If the average weight of the chickens on Farm One is 12 pounds, how many chickens are there on Farm Two?

(1) The average weight of the chickens on Farm Two is 13 pounds.

(2) The total weight of the chickens on Farm Two is 6 pounds less than the total weight of the chickens on Farm One.

• 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 one ALONE is sufficient.
• EACH statement ALONE is sufficient.
• Statements (1) and (2) TOGETHER are NOT sufficient.

1846人做过此题 平均耗时为10min38s 平均正确率为 53%

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10

Of the 32 houses on John Street, 10 are big houses and the rest are little. How many of the little houses on John Street are pink?

(1) All of the houses on John Street are either pink or blue.

(2) There are 14 pink houses on John Street.

• 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 one ALONE is sufficient.
• EACH statement ALONE is sufficient.
• Statements (1) and (2) TOGETHER are NOT sufficient.

1809人做过此题 平均耗时为7min47s 平均正确率为 46%

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11

Ivan operates an ice cream stand in the summertime, selling exclusively chocolate, vanilla and strawberry cones. On a recent afternoon, the ratio of chocolate to vanilla to strawberry cones sold by Ivan was 6 : 3 : 2. How many cones did Ivan sell on that afternoon?

(1) Ivan sold 24 vanilla cones.

(2) Ivan sold twice as many chocolate cones as vanilla cones.

• 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 one ALONE is sufficient.
• EACH statement ALONE is sufficient.
• Statements (1) and (2) TOGETHER are NOT sufficient.

1695人做过此题 平均耗时为8min12s 平均正确率为 48%

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12

Is pq > 0?

(1) p < 0

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

1604人做过此题 平均耗时为2min17s 平均正确率为 43%

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13

What is the largest angle in triangle ABC?

(1) The sum of angles A and B is 70 degrees.

(2) Angle C is 110 degrees.

• 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 one ALONE is sufficient.
• EACH statement ALONE is sufficient.
• Statements (1) and (2) TOGETHER are NOT sufficient.

1604人做过此题 平均耗时为3min26s 平均正确率为 52%

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14

Is a + b > c + d ?

(1) a > c

(2) d < 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 one ALONE is sufficient.
• EACH statement ALONE is sufficient.
• Statements (1) and (2) TOGETHER are NOT sufficient.

1672人做过此题 平均耗时为3min32s 平均正确率为 43%

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15

The sum of n consecutive positive integers is 45. What is the value of n?

(1) n is even

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

1704人做过此题 平均耗时为16min25s 平均正确率为 47%

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16

The average (arithmetic mean) height of five of Peter's friends is 70 inches. What will be the new average height if Peter is included in the group?

(1) Peter's height is 1 foot greater than the average height of his five friends (1 foot = 12 inches).

(2) Peter is 5 inches taller than the tallest of his five friends.

• 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 one ALONE is sufficient.
• EACH statement ALONE is sufficient.
• Statements (1) and (2) TOGETHER are NOT sufficient.

1584人做过此题 平均耗时为6min24s 平均正确率为 58%

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17

A tire store offered customers a 25 percent rebate on all tires purchased during a certain weekend. Assuming all customers who purchased tires received rebates, what is the total amount that the tire manufacturer paid out in rebates?

(1) On Saturday, the store had $900 in tire sales, and total tire sales doubled on Sunday.

(2) For the entire weekend, the store had a total of $2,700 in tire sales.

• 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 one ALONE is sufficient.
• EACH statement ALONE is sufficient.
• Statements (1) and (2) TOGETHER are NOT sufficient.

1577人做过此题 平均耗时为9min36s 平均正确率为 68%

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18

What is 20% of 3x?

(1) 40% of 6x equals 12

(2) 20x = 15x + 25

• 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 one ALONE is sufficient.
• EACH statement ALONE is sufficient.
• Statements (1) and (2) TOGETHER are NOT sufficient.

1560人做过此题 平均耗时为3min26s 平均正确率为 64%

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19

If 3 years ago Jennifer was 22 years old, how old is Carmen now?

(1) 10 years ago, Carmen was twice as old as Jennifer.

(2) 10 years from today, Carmen will be 15 years older than Jennifer.

• 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 one ALONE is sufficient.
• EACH statement ALONE is sufficient.
• Statements (1) and (2) TOGETHER are NOT sufficient.

1559人做过此题 平均耗时为6min15s 平均正确率为 68%

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20

What is 11% of x?

(1) $$\frac{3}{8}$$ of x is 24

(2) 5% of x is 3.2

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

1556人做过此题 平均耗时为2min0s 平均正确率为 62%

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