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PREP07 Test 2
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The cost of each adult's ticket for a certain concert was $30, and the cost of each child's ticket for the concert was $24. If Hannah purchased tickets for this concert, what was the average (arithmetic mean) cost per ticket? (1) Hannah purchased twice as many children's tickets as adults' tickets. (2) Hannah purchased 4 children's tickets.
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PREP07 Test 2
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For each order, a mail-order bookseller charges a fixed processing fee and an additional shipping fee for each book in the order. Rajeev placed five different orders with this bookseller--an order for 1 book in January, an order for 2 books in February, an order for 3 books in March, an order for 4 books in April, and an order for 5 books in May. What was the total of Rajeev's processing and shipping fees for these five orders? (1) Rajeev's processing and shipping fees were $1.00 more for his order in March than for his order in January. (2) The total of Rajeev's shipping fees for the five orders was $7.50.
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PREP07 Test 2
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On the number line, the distance between point A and point C is 5 and the distance between point B and point C is 20. Does point C lie between point A and point B ?(1) The distance between point A and point B is 25. (2) Point A lies to the left of point B.
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PREP07 Test 2
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If n is a three-digit positive integer, what is the sum of the digits of n ?(1) The hundreds digit of n is 3 times the units digit. (2) The hundreds digit of n is 3 more than the tens digit.
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PREP07 Test 2
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The retail price of a certain refrigerator is 1.6 times its wholesale price. What is the difference between the retail price and the wholesale price of the refrigerator?
(1) The wholesale price of the refrigerator is $200.
(2) The retail price of the refrigerator is $320.
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PREP07 Test 1
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What is the hundredths digit of the decimal z ?(1) The tenths digit of 100z is 2.(2) The units digit of 1,000z is 2.
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PREP07 Test 1
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Lines n and p lie in the xy-plane. Is the slope of line n less than the slope of line p ?(1) Lines n and p intersect at the point (5,1).(2) The y-intercept of line n is greater than the y-intercept of line p.
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PREP07 Test 1
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At least 100 students at a certain high school study Japanese. If 4 percent of the students at the school who study French also study Japanese, do more students at the school study French than Japanese?(1) 16 students at the school study both French and Japanese.(2) 10 percent of the students at the school who study Japanese also study French.
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PREP07 Test 1
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When 1,000 children were inoculated with a certain vaccine, some developed inflammation at the site of the inoculation and some developed fever. How many of the children developed inflammation but not fever?(1) 880 children developed neither inflammation nor fever.(2) 20 children developed fever.
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PREP07 Test 1
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John and Mary own shares of stock in a certain company. Does John own more shares of the company's stock than Mary?(1) Mary owns more than 500 shares of the company's stock.(2) The number of shares of the company's stock that John owns is 400 less than twice the number of shares of the company's stock that Mary owns.
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PREP07 Test 1
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Each person in a certain group supports only one of the two candidates R and T. Of the people in the group, 45 percent support Candidate R and the rest support Candidate T. How many people in the group are in favor of a flat tax?(1) Of the people in the group who support Candidate R, 58 percent are in favor of a flat tax.(2) Of the people in the group who support Candidate T, 22 are in favor of a flat tax.
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PREP07 Test 1
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What was the percent increase in the population of City K from 1980 to 1990 ? (1) In 1970 the population of City K was 160,000 (2) In 1980 the population of City K was 20 percent greater than it was in 1970, and in 1990 the population of City K was 30 percent greater than it was in 1970.
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PREP07 Test 1
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The cost of delivery for an order of desk chairs was $10.00 for the first chair, and $1.00 for each additional chair in the order. If an office manager placed an order for n desk chairs, is n > 24 ? (1) The delivery cost for the order totaled more than $30.00. (2) The average (arithmetic mean) delivery cost per chair of the n chairs was $1.36.
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PREP07 Test 1
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If x is a positive number less than 10, is z greater than the average (arithmetic mean) of x and 10 ? (1) On the number line, z is closer to 10 than it is to x. (2) z = 5x
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PREP07 Test 1
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What is the tens digit of the positive integer r?(1) The tens digit of r/10 is 3.(2) The hundreds digit of 10r is 6.
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PREP07 Test 1
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Is the integer k divisible by 4 ? (1) 8k is divisible by 16. (2) 9k is divisible by 12.
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PREP07 Test 1
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If the terms of a sequence are$$t_1, t_2, t_3, . . . , t_n$$, what is the value of n ? (1) The sum of the n terms is 3,124. (2) The average (arithmetic mean) of the n terms is 4.
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PREP07 Test 1
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Is the integer r divisible by 3 ? (1) r is the product of 4 consecutive positive integers.(2) r < 25
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PREP07 Test 2
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If n is an integer, is $$-3x^n$$ positive?(1) x is negative.(2) n is odd.
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PREP07 Test 2
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Is n divisible by 12 ?(1) $$\frac{n}{6}$$ is an integer.(2) $$\frac{n}{4}$$ is an integer.
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