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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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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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If the integers a and n are greater than 1 and the product of the first 8 positive integers is a multiple of $$a^n$$, what is the value of a ?(1) $$a^n=64$$(2) n =6
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PREP07 Test 1
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If x and y are positive integers, what is the value of x + y ?(1) $$2^x3^y = 72$$(2) $$2^x2^y = 32$$
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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 2
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Is |k | = 2 ?(1) $$k^2 = 4$$(2) k = |2|
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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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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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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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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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