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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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PREP07 Test 1
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If the average (arithmetic mean) of the five numbers x, 7, 2, 16, and 11 is equal to the median of the five numbers, what is the value of x ?(1) 7 < x < 11(2) x is the median of the five numbers.
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PREP07 Test 1
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If x and y are positive integers, what is the value of xy ? (1) The greatest common factor of x and y is 10.(2) The least common multiple of x and y is 180.
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PREP07 Test 1
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Of the 75 houses in a certain community, 48 have a patio. How many of the houses in the community have a swimming pool?(1) 38 of the houses in the community have a patio but do not have a swimming pool.(2) The number of houses in the community that have a patio and a swimming pool is equal to the number of houses in the community that have neither a swimming pool nor a patio.
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PREP07 Test 1
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The attendees at a certain convention purchased a total of 15,000 books. How many of these attendees were female?(1) There was a total of 4,000 attendees at the convention.(2) The male attendees purchased an average (arithmetic mean) of 3 books each, and the female attendees purchased an average of 5 books each.
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PREP07 Test 1
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How many odd integers are greater than the integer x and less than the integer y ?(1) There are 12 even integers greater than x and less than y. (2) There are 24 integers greater than x and less than y.
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PREP07 Test 1
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Jason's salary and Karen's salary were each p percent greater in 1998 than in 1995. What is the value of p ?(1) In 1995 Karen's salary was $2,000 greater than Jason's. (2) In 1998 Karen's salary was $2,440 greater than Jason's.
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PREP07 Test 1
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Did one of the 3 members of a certain team sell at least 2 raffle tickets yesterday?(1) The 3 members sold a total of 6 raffle tickets yesterday.(2) No 2 of the members sold the same number of raffle tickets yesterday.
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PREP07 Test 1
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Of the 1,000 companies responding to a certain survey, what percent indicated that they had a business recovery plan?(1) 200 of the companies did not indicate that they had a business recovery plan.(2) The number of companies that indicated that they had a business recovery plan was 4 times the number that did not indicate that they had a business recovery plan
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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 2
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$$2 + 2 + 2^2 + 2^3 + 2^4 + 2^5 + 2^6 + 2^7 + 2^8 =$$
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PREP07 Test 2
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The table above shows the total sales recorded in July for the 5 salespeople at Acme Truck Sales. It was discovered that one of Cal's sales was incorrectly recorded as one of Ann's sales. After this error was corrected, Ann's total sales were still higher than Cal's total sales, and the median of the 5 sales totals was $330,000. What was the value of the incorrectly recorded sale?
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