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PREP07 Test 2
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A salesperson received a commission of 3 percent of the sale price for each of the first 100 machines that she sold and 4 percent of the sale price for each machine that she sold after the first 100. If the sale price of each machine was $10,000 and the salesperson received a $36,000 commission, how many machines did she sell?
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PREP07 Test 2
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From a group of 21 astronauts that includes 12 people with previous experience in space flight, a 3-person crew is to be selected so that exactly 1 person in the crew has previous experience in space flight. How many different crews of this type are possible?
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PREP07 Test 2
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The y-intercept of a line L is 4. If the slope of L is negative, which of the following could be the x-intercept of L ? I. -1 II. 0 III. 6
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PREP07 Test 2
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Of the 800 employees of Company X, 70 percent have been with the company for at least ten years. If y of these "long-term" members were to retire and no other employee changes were to occur, what value of y would reduce the percent of "long-term" employees in the company to 60 percent?
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PREP07 Test 2
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For one toss of a certain coin, the probability that the outcome is heads is 0.6. If this coin is tossed 5 times, which of the following is the probability that the outcome will be heads at least 4 times?
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PREP07 Test 2
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On his drive to work, Leo listens to one of three radio stations, A, B, or C. He first turns to A. If A is playing a song he likes, he listens to it; if not, he turns to B. If B is playing a song he likes, he listens to it; if not, he turns to C. If C is playing a song he likes, he listens to it; if not, he turns off the radio. For each station, the probability is 0.30 that at any given moment the station is playing a song Leo likes. On his drive to work, what is the probability that Leo will hear a song he likes?
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PREP07 Test 2
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The contents of a certain box consist of 14 apples and 23 oranges. How many oranges must be removed from the box so that 70 percent of the pieces of fruit in the box will be apples?
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PREP07 Test 2
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For the numbers on the number line above, which of the following statements is true?
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PREP07 Test 1
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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.
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PREP07 Test 1
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If $$R = 1 + 2xy + x^2y^2$$, what is the value of xy ?(1) R = 0(2) x > 0
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PREP07 Test 1
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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.
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PREP07 Test 1
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If xy = -18, is x less than y ?(1) x < 0(2) y < 10
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PREP07 Test 1
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If x is positive, what is the value of y ?(1) 5x = 15(2) xy + y = 18
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PREP07 Test 1
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If integer p is greater than 1, is p a prime number?(1) p is odd.(2) The only positive factors of p are 1 and p.
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PREP07 Test 1
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A certain company divides its total advertising budget into television, radio, newspaper, and magazine budgets in the ratio of 8 : 7 : 3 : 2, respectively. How many dollars are in the radio budget?(1) The television budget is $18,750 more than the newspaper budget. (2) The magazine budget is $7,500.
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PREP07 Test 1
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If l and k are lines in the xy-plane, is the product of the slopes of l and k equal to -1 ?(1) Line l passes through the origin and the point (1, 2).(2) Line k has x-intercept 4 and y-intercept 2.
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PREP07 Test 1
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To fill an order on schedule, a manufacturer had to produce 1,000 tools per day for n days. What is the value of n ?(1) Because of production problems, the manufacturer produced only 600 tools per day during the first 5 days.
(2) Because of production problems, the manufacturer had to produce 1,500 tools per day on each of the last 4 days in order to meet the schedule.
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PREP07 Test 1
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In the figure shown, the measure of angle PRS is how many degrees greater than the measure of angle PQR ?(1) The measure of angle QPR is 30°(2) The sum of the measures of angles PQR and PRQ is 150°
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PREP07 Test 1
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On her way home from work, Janet drives through several tollbooths. Is there a pair of these tollbooths that are less than 10 miles apart?(1) The first tollbooth and the last tollbooth are 25 miles apart.(2) Janet drives through 4 tollbooths on her way home from work.
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PREP07 Test 1
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If the symbol △ represents either addition or multiplication, which operation does it represent?(1) a △ b = b △ a for all numbers a and b.(2) a △ ( b – c ) = ( a △ b ) – ( a △ c )for all numbers a, b, and c
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