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GRE數(shù)學(xué)難點解析：

1. If the sum of four consecutive even integers is 340, then the average of the two larger integers is

A. 83 B. 85 C.86 D.87 E.88

2. In 1987, $30 million of the total amount of federal grants to the arts was appropriated to match funds raised through private sources. What was the ratio of federal matching funds to federal non-matching funds in that year?

A. 1 to 1 B.3 to 14 C.3 to 17 D.3 to 20 E.14 to 3

3. The 20 people at a party are divided into n mutually exclusive groups in such a way that the number of people in any group does not exceed the number in any other group by more than 1.

Column A: The value of n if at least one of the groups consists of 3 people.

Column B: 6

answer: D

4. Twenty- seven people applied for a certain managerial job. According to one report, the first interview narrowed the field down to fewer than 7 candidates. Another report claimed that the first interview eliminated fewer than 23 applicants from consideration. If both reports are true, and if x applicants were eliminated by the first interview, what are the possible values of x?

A. 21 only B.22 only C.20 and 21 only D.21 and 22 only E.21,22,and 23

5. To obtain an FHA mortgage for $50,000 or more, the home buyer must have a down payment equal to 4 percent of the first $25,000 of the mortgage amount and 5 percent of the portion in excess of $25,000. At settlement the buyer pays a mortgage amount. What is the maximum FHA mortgage, if any, a buyer can obtain if the buyer has only $6,000 available for the down payment and insurance premium?

A. $62,500 B.$71,875 C.$78,125 D.$125,000 E. The home buyer cannot obtain an FHA mortgage.

6. A $550 donation to a community fund is to be divided among three organizations. The hospital is to get twice as much as the community recreation center and three times as much as the volunteer fire company. How much of the donation is to go to the community recreation center?

A.$50 B.$75 C.$100 D.$150 E.$200

7.

A. The quantity in Column A is greater.

B. The quantity in Column B is greater.

C. The two quantities are equal.

D. The relationship cannot be determined from the information given.

8.A certain holiday is always on the fourth Tuesday of Month X. If Month X has 30 days, on how many different dates of Month X can the holiday fall?

A. Four B.Five C.Six D. Seven E.Eight

9. How many positive integers can be expressed as a product of two or more of the prime number 5, 7, 11, and 13 if no one product is to include the same prime factor more than once?

A.Eight B.Nine C. Ten D.Eleven E.Twelve

10.In 1990 for which of the selected sciences did the greatest percent of its graduate students have research fellowships?

A.Biology B. Chemistry C. Computer science D. Engineering E. Physics

11.The percent increase from the least monthly car sales shown to the sales in July 1993 was most nearly equal to____

A.20% B.35% C.45% D.55% E.65%

12. For which symptom are the ratings closest to the arithmetic mean for that symptom, as measured by the standard deviation of its ratings?

A.H B.L C.P D.T E.V

13. The cost of sending a package special delivery is x cents per ounce up to 10 ounces and y cents for each ounce in excess 10. Which of the following represents the total cost, in cents, of sending special delivery a package weighing w ounces, if w > 10?

A. x+(w-10)y+10

B. x+(w-10)+y

C. 10x+10(w-y)

D.10x+y(w-10)

E. 10x+wy

 14. The jewels in a certain tiara consist of diamonds, rubies, and emeralds. If the ratio of diamonds to rubies is 5/6 and the ratio of rubies to emeralds is 8/3, what is the least number of jewels that could be in the tiara?

A.16 B.22C.40D.53E.67

15.Column A: The area of the triangular region.

Column B: The area of the circular region.

answer: D

16.If 3 cars have traveled a total of 180,000 miles and the distance traveled by each car differs by at least 1 mile from the distance traveled by either of the other 2 cars, what is the minimum possible number of mile traveled by the car with most mileage?

A.60,001 B.60,002 C.61,000 D.91,000 E.180,000

 17. According to the graph, which of the following statements must be true?

(1). For each of the years 1986 through 1990, the number of cat licenses issued was greater than that of the previous year.

(2). In Town x more households had dogs in 1986 than in 1985.

(3). For at least one of the years shown, the number of cat licenses issued was more than 3/2 times the number of dog licenses issued.

A. (1)only B.(2)only C.(3)omly D.(1)and(2) E.(1)and(3)

18. How many 4-digit numbers begin with an odd digit and end with an even digit?

A.250 B.500 C.2,000 D.2.500 E.5.000

19.answer: A

20. In a bowl that contains 20 marbles, 7 are green, 6 are red, and the remainder are blue. Two marbles are to be drawn at random from the bowl without replacement.

Column A: The probability that one marble is green and the other marble is red.

Column B: The probability that one marble is green and the other marble is blue.

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