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PREP07 Test 2
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If x and y are greater than 0, is x = 1 ?(1 )$$\frac{x}{y}= 1$$(2) xy = 1
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PREP07 Test 2
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Is positive integer n divisible by 3 ?(1) $$(n^2)\over36$$ is an integer.(2) $$144\over(n^2)$$ is an integer.
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PREP07 Test 2
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Circle C and line k lie in the xy-plane. If circle C is centered at the origin and has radius 1, does line k intersect circle C ?(1) The x-intercept of line k is greater than 1.(2) The slope of line k is $$-\frac{1}{10}$$.
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PREP07 Test 2
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Does the integer k have a factor p such that 1 < p < k ?(1) k > 4!(2) $$13! + 2 \le k \le 13! + 13$$
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PREP07 Test 2
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When the positive integer n is divided by 25, the remainder is 13. What is the value of n ?(1) n < 100(2) When n is divided by 20, the remainder is 3.
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PREP07 Test 2
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When positive integer n is divided by 3, the remainder is 2; and when positive integer t is divided by 5, the remainder is 3. What is the remainder when the product nt is divided by 15 ?(1) n - 2 is divisible by 5. (2) t is divisible by 3.
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PREP07 Test 2
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If @ denotes one of two arithmetic operations, addition or multiplication, and if k is an integer, what is the value of 3 @ k ? (1) 2 @ k = 3(2) 1 @ 0 = k
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PREP07 Test 2
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Set S consists of 20 different positive integers. How many of the integers in S are odd?(1) 10 of the integers in S are even. (2) 10 of the integers in S are multiples of 4.
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PREP07 Test 2
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At a certain stand, all soft drinks cost the same and all sandwiches cost the same. How much does 1 sandwich cost at the stand? (1) At the stand, 1 sandwich and 2 soft drinks cost a total of $3.15.(2) At the stand, 3 sandwiches and 1 soft drink cost a total of $5.70.
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PREP07 Test 2
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If K is a positive three-digit integer, what is the hundreds digit of K ? (1) The hundreds digit of K + 150 is 4. (2) The tens digit of K + 25 is 7.
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PREP07 Test 2
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On his trip from Alba to Benton, Julio drove the first x miles at an average rate of 50 miles per hour and the remaining distance at an average rate of 60 miles per hour. How long did it take Julio to drive the first x miles?(1) On this trip, Julio drove for a total of 10 hours and drove a total of 530 miles.(2) On this trip, it took Julio 4 more hours to drive the first x miles than to drive the remaining distance.
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PREP07 Test 2
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If 500 is the multiple of 100 that is closest to x and 400 is the multiple of 100 that is closest to y, which multiple of 100 is closest to x + y ?(1) x < 500 (2) y < 400
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PREP07 Test 2
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A certain list consists of five different integers. Is the average (arithmetic mean) of the two greatest integers in the list greater than 70 ? (1) The median of the integers in the list is 70.(2) The average of the integers in the list is 70.
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PREP07 Test 2
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In the xy-coordinate plane, line m and line k intersect at the point (4, 3). Is the product of their slopes negative?(1) The product of the x-intercepts of lines m and k is positive.(2) The product of the y-intercepts of lines m and k is negative.
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PREP07 Test 2
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If zt < -3, is z < 4 ?(1) z < 9 (2) t < -4
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PREP07 Test 2
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An antique dealer bought a coffee table that was then sold for a profit. What was the selling price of the coffee table?(1) The dealer's cost for the coffee table was $340. (2) The dealer's gross profit on the coffee table was 15% of the selling price.
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PREP07 Test 2
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Warehouse W's revenue from the sale of sofas was what percent greater this year than it was last year? (1) Warehouse W sold 10 percent more sofas this year than it did last year. (2) Warehouse W's selling price per sofa was $30 greater this year than it was last year.
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PREP07 Test 2
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If k is a line in the xy-plane, what is the slope of k ?(1) The x-intercept of k is 2. (2) The y-intercept of k is 3.
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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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