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PREP07 Test 1
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On a certain sight-seeing tour, the ratio of the number of women to the number of children was 5 to 2. What was the number of men on the sight-seeing tour?(1) On the sight-seeing tour, the ratio of the number of children to the number of men was 5 to 11.(2) The number of women on the sight-seeing tour was less than 30.
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PREP07 Test 1
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Ellen can purchase a certain computer at a local store at the price of p dollars and pay a 6 percent sales tax. Alternatively, Ellen can purchase the same computer from a catalog for a total of q dollars, including all taxes and shipping costs. Will it cost more for Ellen to purchase the computer from the local store than from the catalog?(1)q-p ＜ 50(2)q=1,150
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PREP07 Test 1
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If p is a positive integer, what is the value of p ?(1) p/4 is a prime number.(2) p is divisible by 3.
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PREP07 Test 1
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Is y < 2x ?(1) $${y\over4} < \frac{x}{2}$$(2) $${(y-2x)\over3 }<0$$
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PREP07 Test 1
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Is x > y ? (1) x + y < 0(2) x - y > 0
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PREP07 Test 1
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For each month of next year, Company R's monthly revenue target is x dollars greater than its monthly revenue target for the preceding month. What is Company R's revenue target for March of next year?(1) Company R's revenue target for December of next year is $310,000.(2) Company R's revenue target for September of next year is $30,000 greater than its revenue target for June of next year.
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PREP07 Test 1
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Is m + z > 0 ? (1) m - 3z > 0(2) 4z - m > 0
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PREP07 Test 1
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If k is a positive integer, then 20k is divisible by how many different positive integers?(1) k is prime.(2) k = 7
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PREP07 Test 1
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This morning, a certain sugar container was full. Since then some of the sugar from this container was used to make cookies. If no other sugar was removed from or added to the container, by what percent did the amount of sugar in the container decrease?(1) The amount of sugar in the container after making the cookies would need to be increased by 30 percent to fill the container.(2) Six cups of sugar from the container were used to make the cookies.
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PREP07 Test 1
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If a and b are positive numbers, what are the coordinates of the midpoint of line segment CD in the xy-plane?(1) The coordinates of C are (a, 1 - b).(2) The coordinates of D are (1 - a, b).
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PREP07 Test 1
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The Cost of a square slab is proportional to its thickness and also proportional to the square of its length. What is the cost of a square slab that is 3 meters long and 0.1 meter thick?(1) The cost of a square slab that is 2 meters long and 0.2 meter thick is $160 more than the cost of a square slab that is 2 meters long and 0.1 meter thick.(2) The cost of a square slab that is 3 meters long and 0.1 meter thick is $200 more than the cost of a square slab that is 2 meters long and 0.1 meter thick.
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PREP07 Test 1
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If Bob produces 36 or fewer items in a week, he is paid x dollars per item. If Bob produces more than 36 items in a week, he is paid x dollars per item for the first 36 items and 1.5 times that amount for each additional item. How many items did Bob produce last week?(1) Last week Bob was paid a total of $480 for the items that he produced that week.(2) This week Bob produced 2 items more than last week and was paid a total of $510 for the items that he produced this week.
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PREP07 Test 1
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Is x < y ?(1) 2x < 3y(2) xy > 0
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PREP07 Test 1
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$$a_1,a_2,a_3,. . .,a_{15}$$In the sequence shown,$$a_n = a_{n - 1} + k$$, where 2 $$\le n \le 15$$ and k is a nonzero constant. How many of the terms in the sequence are greater than 10 ?(1) $$a_1 = 24$$(2) $$a_8 = 10$$
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PREP07 Test 1
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Is 4z > -6 ?(1) z < 7(2) z > -1
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