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试卷名称:GMAT（QUANTITATIVE）数学模拟试卷1

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Solve the problem and indicate the best of the answer choices given. NUMBERS: All numbers used are real numbers. FIGURES: A figure accompanying a problem-solving question is intended to provide information useful in solving the problem. Figures are drawn as accurately as possible EXCEPT when it is stated in a specific problem that its figure is not drawn to scale. Straight lines may sometimes appear jagged. All figures lie in a plane unless otherwise indicated. The following data sufficiency problems consist of a question and two statements, labeled (1) and (2), in which certain data are given. You have to decide whether the data given in the statements are sufficient for answering the question. Using the data given in the statements plus your knowledge of mathematics and everyday facts (such as the number of days in July or the meaning of counterclockwise), you must indicate whether Ａ. Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient. Ｂ. Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient. Ｃ. BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient. Ｄ. EACH statement ALONE is sufficient. Ｅ. Statements (1) and (2) TOGETHER are NOT sufficient.

A hiker in a national forest stopped at a ranger station to add water to her canteen. How many ounces of water were in the canteen when she arrived at the ranger station? (1) The hiker added 24 ounces to the canteen at the ranger station. (2) After the hiker added water to the canteen, the canteen was 75 percent full.

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If b＞a, then a is what percent of b? (1) a=4 (2) b=4a

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If all apples at a certain grocery store are equally priced, and all pears at the same grocery store are equally priced, what is the same price of a pear? (1) Eight pears cost eighty cents more than eight apples. (2) Ten apples cost twenty cents more than eight pears.

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If each of the segments marked on the board above is of equal length, and if x and y represent the indicated lines on the board, then what is the distance between x and y? (There are twelve inches in a foot). (1) The board is five feet long. (2) x is 18 inches from the nearest end of the board.

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Any decimal that has a finite number of nonzero digits is a terminating decimal. For example, 16, 12.43, and 0.26 are all terminating decimals. If a and b are positive integers and the ratio a/b is expressed as a decimal, is a/b a terminating decimal? (1) b=5 (2) 70＜a＜80

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Solve the problem and indicate the best of the answer choices given. NUMBERS: All numbers used are real numbers. FIGURES: A figure accompanying a problem-solving question is intended to provide information useful in solving the problem. Figures are drawn as accurately as possible EXCEPT when it is stated in a specific problem that its figure is not drawn to scale. Straight lines may sometimes appear jagged. All figures lie in a plane unless otherwise indicated. The following data sufficiency problems consist of a question and two statements, labeled (1) and (2), in which certain data are given. You have to decide whether the data given in the statements are sufficient for answering the question. Using the data given in the statements plus your knowledge of mathematics and everyday facts (such as the number of days in July or the meaning of counterclockwise), you must indicate whether Ａ. Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient. Ｂ. Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient. Ｃ. BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient. Ｄ. EACH statement ALONE is sufficient. Ｅ. Statements (1) and (2) TOGETHER are NOT sufficient.

A company, Chauncy Co., has an annual travel budget of $55,000. The accounting department estimates that transportation expenses Will increase 5 percent in the coming year, and nontransportation travel expenses will increase by 15 percent in the coming year. Last year, Chauncy Co. spent $19,500 on transportation-related expenses, and $35,000 on nontransportation travel expenses. If the annual travel budget does not increase this year, and if the accounting department’s estimates are correct, how far over the annual travel budget will expenses be this year? Expenses will not go over the budget. $5O0 $4,225 $5,725 $60,725

The following data sufficiency problems consist of a question and two statements, labeled (1) and (2), in which certain data are given. You have to decide whether the data given in the statements are sufficient for answering the question. Using the data given in the statements plus your knowledge of mathematics and everyday facts (such as the number of days in July or the meaning of counterclockwise), you must indicate whether Ａ. Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient. Ｂ. Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient. Ｃ. BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient. Ｄ. EACH statement ALONE is sufficient. Ｅ. Statements (1) and (2) TOGETHER are NOT sufficient.

In the flat triangular surface depicted above, if [*] feet, what is the area of the surface in square feet? (Figure not necessarily drawn to scale.)[*]

A real estate developer has bought 1,872 acres of land on which to build a new neighborhood. He plans to zone the area for roads, common area, and housing plots on a ratio of 2:3:8, respectively. If a planned lake will take up 16 acres of the common area, how many acres of the common area will be left over for the clubhouse and golf course? 128 144 416 432 450

A hiker walked for 3 days. She walked 18 miles on the first day, walking 3 miles per hour. On the second day she walked for one less hour, but she walked one mile per hour faster than on the first day. On the third day she walked the same number of hours as on the first day but at the same speed as on the second day. How many miles in total did she walk? 24 44 58 60 62

The promoters of the Springfield music festival estimated a 50 percent increase in ticket sales from last year, but because of bad weather, ticket sales actually decreased by 25 percent from last year’s level. What percent of the projected ticket sales were the actual ticket sales? 45 50 55 65 75

If the average (arithmetic mean) of x and y is 40, and z-x=60, what is the average of y and z? 20 50 65 70 140

When Greenville State University decided to move its fine arts collection to a new library, it had to package the collection in 20-inch by 20-inch by 15-inch boxes. If the university pays $0.50 for every box, and if the university needs 3.6 million cubic inches to package the collection, what is the minimum amount the university must spend on boxes? $255 $275 $510 $1,250 $2,550

If [*] for all numbers q, r, s, and t, then[*] -3 -1 1 4/3 4

Of the following, which is most nearly equal to but not greater than [*]? 3.7 3.8 3.9 4.0 4.1

Donna is a mountain biking enthusiast. One Saturday, she spent the morning biking up an uphill trail at an average speed of 20 kilometers per hour, and then returned by the same route in the afternoon at an average speed of 25 kilometers per hour. If the downhill trip in the afternoon took 3/4 of an hour less than the uphill trek in the morning, how many kilometers did Donna ride each way? 50 55 65 70 75

The following data sufficiency problems consist of a question and two statements, labeled (1) and (2), in which certain data are given. You have to decide whether the data given in the statements are sufficient for answering the question. Using the data given in the statements plus your knowledge of mathematics and everyday facts (such as the number of days in July or the meaning of counterclockwise), you must indicate whether Ａ. Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient. Ｂ. Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient. Ｃ. BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient. Ｄ. EACH statement ALONE is sufficient. Ｅ. Statements (1) and (2) TOGETHER are NOT sufficient.

If x dollars are invested at 12 percent for one year and y dollars are invested at 8 percent for one year, the annual income from the 8 percent investment will exceed the annual income from the 12 percent investment by $64. If $5,000 is the total amount invested between x and y, how much is invested at 12 percent? $1,680 $1,997 $3,003 $3,320 $3,500

Which of the following is equal to x24 for all positive values of x? x12+x12 (-x12)-2 (x6)6 (x2)(x3)(x4) (x72)1/3

A particular rocket car can travel for sustained periods at a maximum speed of 240 miles per hour. How many minutes would it take this rocket car to travel 86 miles? 2.8 18 1/2 21 1/2 22 24

The square root of 800 is between which of the following integers? 21 and 25 24 and 28 27 and 31 30 and 34 33 and 37

[*]

[*] 0.0125 0.025 0.1 0.25 0.625

A certain tire company can produce tires at a cost of $22,500 per batch plus $9 per tire. The company can sell tires to the wholesaler at a cost of $20 per tire. If a batch of 15,000 tires is produced and sold, what is the company’s profit per tire? $9.00 $9.50 $11.00 $13.50 $20.00

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