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PREP07 Test 1
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Machine A, working alone at its constant rate, manufactures 280 bolts per hour, and machine B, working alone at its constant rate, manufactures 220 bolts per hour. How many hours will it take for machines A and B, working together at their respective constant rates,to manufacture 1,000 bolts?
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PREP07 Test 1
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A long-distance telephone company charges a monthly fee of $4.95 plus $0.07 per minute for long-distance telephone calls. If a person's long-distance telephone calls for a certain month totaled 320 minutes, what was the total amount that the telephone company charged the person for that month?
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PREP07 Test 1 OG19 OG20 OG2022
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If n is a positive integer and the product of all the integers from 1 to n, inclusive, is a multiple of 990, what is the least possible value of n ?
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PREP07 Test 1
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If $${2}^{x}-{2}^{x-2}={3}({2}^{13})$$, what is the value of x ?
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PREP07 Test 1
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If x is positive, which of the following could be the correct ordering of $$\frac1 x$$, 2x, and $${x}^{2}$$I. $${x}^{2}<2x<\frac1 x$$II. $$x^2<\frac1 x<2x$$III.$$2x<{x^2}<\frac1 x$$
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PREP07 Test 1
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A metal company's old machine makes bolts at a constant rate of 100 bolts per hour.The company's new machine makes bolts at a constant rate of 150 bolts per hour. If both machines start at the same time and continue making bolts simultaneously, how many minutes will it take the two machines to make a total of 300 bolts?
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PREP07 Test 1
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The main ingredient in a certain prescription drug capsule costs $500.00 per kilogram. If each capsule contains 600 milligrams of the ingredient, what is the cost of the ingredient in a capsule? (1 kilogram = $${10}^{6}$$ milligrams)
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PREP07 Test 1
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If two sides of a triangle have lengths 2 and 5, which of the following could be the perimeter of the triangle?I. 9II. 15III. 19
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PREP07 Test 1
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List K consists of 12 consecutive integers. If -4 is the least integer in list K, what is the range of the positive integers in list K ?
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PREP07 Test 1
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Three boxes of supplies have an average (arithmetic mean) weight of 7 kilograms and a median weight of 9 kilograms. What is the maximum possible weight, in kilograms, of the lightest box?
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PREP07 Test 1
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 The table shows the number of shares of each of the 5 stocks owned by Mr. Sami. If Mr.Sami was to sell 20 shares of Stock X and buy 24 shares of Stock Y, what would be the increase in the range of the numbers of shares of the 5 stocks owned by Mr. Sami?
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PREP07 Test 1
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A certain company charges $6 per package to ship packages weighing less than 2 pounds each. For a package weighing 2 pounds or more, the company charges an initial fee of $6 plus $2 per pound. If the company charged $38 to ship a certain package, which of the following was the weight of the package, in pounds?
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PREP07 Test 1
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Pumps A, B, and C operate at their respective constant rates. Pumps A and B, perating simultaneously, can fill a certain tank in 6/5 hours; pumps A and C, operating simultaneously, can fill the tank in 3/2 hours; and pumps B and C, operating simultaneously, can fill the tank in 2 hours. How many hours does it take pumps A, B, and
C, operating simultaneously, to fill the tank?
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PREP07 Test 1
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Of the students who eat in a certain cafeteria, each student either likes or dislikes lima beans and each student either likes or dislikes brussels sprouts. Of these students, 2/3 dislike lima beans; and of those who dislike lima beans, 3/5 also dislike brussels sprouts. How many of the students like brussels sprouts but dislike lima beans?(1) 120 students eat in the cafeteria(2) 40 of the students like lima beans.
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OG17 OG18
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An archaeologist studying Artifacts A–D is interested in whether Artifact C is older than Artifact A.Select an assertion involving Artifact A and an assertion involving Artifact C that together imply the assertion "Artifact C is older than Artifact A." Make only two selections, one in each column.
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OG17 OG18
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For each of the following clusters of stages, select Yes if at least two active projects are currently in a stage within that cluster. Otherwise, select No.
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For 9 high-tech fields, the table provides data on all patent applications filed with the European Patent Office in 2012 for innovations in that field. For each field, the table lists three quantities: the number of applications filed, the number of applicants, and the average (arithmetic mean) number of applications per applicant (rounded to the nearest 0.01). Each application was assigned to exactly one field.
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OG17 OG18
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For each positive integer n, the quantity $$s_n$$ is defined such that $$s_{n+2} = {s_n}^2 - s_{n+1}$$. In addition, $$s_2 = 1$$.In the table, select values for $$s_1 $$ and $$s_4 $$ that are jointly compatible with these conditions. Select only two values, one in each column.
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OG17 OG18
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In Country C, the numbers of transactions made by various noncash methods in 2006 and 2009 are shown in the graphic. All other transactions were made with cash.Use the drop-down menus to complete the statements about Country C so that they are consistent with the given information. 14A. The number of transactions increased by 25% from 2006 to 2009.14B. If the total value of all credit card transactions in 2009 was 10% more than the total value of all credit card transactions in 2006, then the average (arithmetic mean) value of credit card transactions increased by % from 2006 to 2009.
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OG17 OG18
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Miguel's online banking password is nine characters long and includes at least one character of each of five types: digits, punctuation marks, uppercase (capital) letters, lowercase (noncapital) letters, and certain other characters. The password begins or ends with one of these other characters, of which it contains exactly one. No consecutive characters in the password are of the same one of these types. (For example, no capital letter is preceded or followed by another capital letter.) The password contains more lowercase letters than characters of any one of the other four types. It also contains fewer punctuation marks than digits, lowercase letters, or uppercase letters. The first three characters of the password are M, ?, and G.In the table, select a type of character that the fifth character in the password must be and a type of character that the seventh character must be. Make only two selections, one in each column.
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