PREP 07 Test 1

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题目列表

序号 题目内容
101 If the sum of three different numbers is 54, what is the largest number?(1) The largest number is twice the smallest number.(2) The sum of the two smaller numbers is 30.
102 If M is a finite set of negative integers, is the total number of integers in M an odd number?(1) The product of all the integers in M is odd. (2) The product of all the integers in M is negative.
103 A certain bag contains red, blue, and green marbles. What is the ratio of the number of green marbles to the number of red marbles in the bag?(1)The number of blue marbles in the bag is 2 times the number of green marbles in the bag.(2)The number of blue marbles in the bag is 3 times the number of red marbles in the bag.
104 What is the value of x ?(1) y - x = y - 6(2) x + 2y = 10
105 What is the number of members of Club X who are at least 35 years of age?(1)Exactly $$\frac3 4$$ of the members of Club x are under 35 years of age.(2)The 64 women in Club x constitute 40 percent of the club's membership.
106 What was Jean's insurance premium in 1995 ?(1) The ratio of Jean’s insurance premium in 1995 to her insurance premium in 1994 was $$\frac{6}{5}$$.(2) Jean’s insurance premium in 1995 was 20 percent more than her insurance premium in 1994.
107 A combined total of 55 lightbulbs are stored in two boxes; of these, a total of 7 are broken. If there are exactly 2 broken bulbs in the first box, what is the number of bulbs in the second box that are not broken?(1) In the first box, the number of bulbs that are not broken is 15 times the number of broken bulbs. (2) The total number of bulbs in the first box is 9 more than the total number of bulbs in the second box.
108 Three friends rented a car for a week and divided the cost equally. What was the total cost of renting the car?(1)If the three friends had kept the car for a second week, they could have obtained the two-week rate, which was 1.5 times the cost of a one-week rental.(2)If a fourth friend had joined the three friends and the cost had been divided equally among the four friends, the cost to each of the original three would have been reduced by $15.
109 If $$R = 1 + 2xy + x^2y^2$$, what is the value of xy ?(1) R = 0(2) x > 0
110 If $$z^n=1$$, what is the value of z?(1)n is a nonzero integer.(2)$$z > 0$$
111 If x, and z are positive integers, what is the remainder when 1OOx + 10y + z is divided by 7 ?(1) y = 6(2)z = 3
112 Each person attending a fund-raising party for a certain club was charged the same admission fee. How many people attended the party?(1) If the admission fee had been $0.75 less and 100 more people had attended, the club would have received the same amount in admission fees.(2) If the admission fee had been $1.50 more and 100 fewer people had attended, the club would have received the same amount in admission fees.
113 For a certain set of n numbers, where n > 1, is the average (arithmetic mean) equal to the median?(1) If the n numbers in the set are listed in increasing order, then the difference between any pair of successive numbers in the set is 2.(2) The range of the n numbers in the set is 2(n - 1).
114 Henry purchased 3 items during a sate. He received a 20 percent discount off the regular price the most expensive item and a 10 percent discount off the regular price of each of the other 2 items. Was the total discount of these three items greater than 15 percent of the sum of the regular prices of the 3 items?(1)The regular price of the most expensive item was $50, and the regular price of the next most expensive item was $20.(2)The regular price of the least expensive item was $15.
115 If xy = -18, is x less than y ?(1) x < 0(2) y < 10
116 An insurance company has a contract with a medical laboratory to pay a discounted price for a certain medical test performed on patients referred to the laboratory by the insurance company. If the laboratory's original bill for this medical test on a patient referred by the insurance company is $230, what is the percent discount specified by the contract between the laboratory and the insurance company?(1)The insurance company is required to pay only 20 percent of the original bill for the test.(2)The insurance company is required to pay $46 for the test.
117 If P, Q, and R are points on the number line, what is the distance between P and R ?(1) Q is between P and R.(2) The distance between P and Q is 5.
118 If x is positive, what is the value of y ?(1) 5x = 15(2) xy + y = 18
119 A contractor combined x tons of a gravel mixture that contained 10 percent gravel G, by weight, with y tons of a mixture that contained 2 percent gravel G, by weight, to produce z tons of a mixture that was 5 percent gravel G, by weight. What is the value of x ?(1) y = 10(2) z = 16
120 How many of the students in a certain class are taking both a history and a science course?(1) Of all the students in the class, 50 are taking a history course.(2) Of all the students in the class, 70 are taking a science course.

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