PREP07 Test 1
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If $$z^n=1$$, what is the value of z?(1)n is a nonzero integer.(2)$$z > 0$$
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PREP07 Test 1
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The residents of Town X participated in a survey to determine the number of hours per week each resident spent watching television. The distribution of the results of the survey had a mean of 21 hours and a standard deviation of 6 hours. The number of hours that Pat, a resident of Town X, watched television last week was between 1 and 2 standard deviations below the mean. Which of the following could be the number of hours that Pat watched television last week?
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PREP07 Test 1
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The federal immigration station on Ellis Island, which was first opened in 1892, then rebuilt in 1900, processing nearly three quarters of all immigrants entering the United States in the first quarter of the twentieth century.
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PREP07 Test 1
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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
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PREP07 Test 1
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If n is a positive integer less than 200 and$$\frac{14n}{60}$$is an integer, then n has how many different positive prime factors?
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PREP07 Test 1
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Hans Christian Andersen wrote fairy tales, which have been some of the most frequently translated works in literary history, while he wrote plays, novels, poems, and travel books, as well as several autobiographies, which remained almost unknown outside his native Denmark.
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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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What is the sum of the integers in the table above?
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PREP07 Test 1
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Though certain breeds of dog are renowned for their sense of smell, there is often a greater difference in scenting ability between two members of a single breed as there is between members of different breeds.
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PREP07 Test 1
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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).
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PREP07 Test 1
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For all positive integers of m, [m]=3m when m is odd, and $$\frac{1}{2}$$m when m is even. Which of the following is equal to [9]*[6]?
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PREP07 Test 1
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Thunderclouds form when warm, moist air rises into cooler air above, because either the ground is warmer than usually or because the interaction of two air masses, one warm and one cold, forces warm air to rise.
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PREP07 Test 1
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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.
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PREP07 Test 1
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If 0 < x < 1, what is the median of the values x, $${x}^{-1}$$, $${x}^{2}$$, $$\sqrt{x}$$, and $${x}^{3}$$?
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PREP07 Test 1
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A study on couples' retirement transitions found that women who took new jobs after retiring from their primary careers reported high marital satisfaction, more than when retiring completely.
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PREP07 Test 1
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A used-car dealer sold one car at a profit of 25 percent of the dealer's purchase price for that car and sold another car at a loss of 20 percent of the dealer's purchase price for that car. If the dealer sold each car for $20,000, what was the dealer's total profit or loss, in dollars, for the two transactions combined?
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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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Many population studies have linked a high-salt diet to high rates of hypertension and shown that in societies where they consume little salt, their blood pressure typically does not rise with age.
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PREP07 Test 1
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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.
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PREP07 Test 1
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A certain junior class has 1,000 students and a certain senior class has 800 students.Among these students, there are 60 sibling pairs, each consisting of 1 junior and 1 senior.If 1 student is to be selected at random from each class, what is the probability that the 2 students selected will be a sibling pair?
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