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PREP07 Test 1
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In a survey of students, each student selected from a list of 12 songs the 2 songs that the student liked best. If each song was selected 4 times, how many students were surveyed?
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PREP07 Test 1
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Despite there being no fundamental difference in shipbuilding traditions in Viking-Age Scandinavia from the ones in other parts of Northern Europe, archaeological evidence shows that Viking ships were lighter, slimmer, faster, and thus probably more seaworthy than the heavier vessels used by the English at that time.
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PREP07 Test 1
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If $1,000 is deposited in a certain bank account and remains in the account along with any accumulated interest, the dollar amount of interest, I , earned by the deposit in the first n years is given by the formula $$I = 1000[(1+\frac{r}{100})^n-1]$$, where r percent is the annual interest rate paid by the bank. Is the annual interest rate paid by the bank greater than 8 percent?(1) The deposit earns a total of $210 in interest in the first two years.(2) $$(1+\frac{r}{100})^2>1.15$$
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PREP07 Test 1
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$$If m =\frac{9}{25}, w = \frac{15}{32}$$, and m + w + c = 1, which of the following gives the values of m, w, and c in increasing order?
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PREP07 Test 1
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To protect English manufacturers of woolen goods both against American and Irish competition, England passed the Woolens Act of 1698, which prohibited the export of woolen cloth beyond a colony's borders.
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PREP07 Test 1
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On her way home from work, Janet drives through several tollbooths. Is there a pair of these tollbooths that are less than 10 miles apart?(1) The first tollbooth and the last tollbooth are 25 miles apart.(2) Janet drives through 4 tollbooths on her way home from work.
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PREP07 Test 1
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Each of 10 machines works at the same constant rate doing a certain job. The amount of time needed by the 10 machines, working together, to complete the job is 16 hours. How many hours would be needed if only 8 of the machines, working together,were used to complete the job?
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PREP07 Test 1
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If the symbol △ represents either addition or multiplication, which operation does it represent?(1) a △ b = b △ a for all numbers a and b.(2) a △ ( b – c ) = ( a △ b ) – ( a △ c )for all numbers a, b, and c
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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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Often billed as "The Genius," American pianist, singer, composer, and bandleader Ray Charles is credited with soul music's early development, a genre based on melding gospel, rhythm and blues, and jazz.
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PREP07 Test 1
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Each employee on a certain task force is either a manager or a director. What percent of the employees on the task force are directors?(1) The average (arithmetic mean) salary of the managers on the task force is $5,000 less than the average salary of all employees on the task force.(2) The average (arithmetic mean) salary of the directors on the task force is $15,000 greater than the average salary of all employees on the task force.
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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
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By pressing a tiny amount of nitrogen between two diamonds to a pressure of 25 million pounds per square inch, scientists not only were able to transform the gas into a solid, but they also created a semiconductor similar to silicon.
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PREP07 Test 1
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In the xy-plane, does the line with equation y = 3x + 2 contain the point (r, s)?(1) (3r + 2 - s)(4r + 9 - s) = 0(2) (4r - 6 - s)(3r + 2 - s) = 0
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PREP07 Test 1
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$$\frac{2^{(4-1)^{2}}}{2^{3-2}}=$$
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PREP07 Test 1
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In contrast to some fish eggs requiring months to incubate, the Rio Grande silvery minnow produces eggs that hatch in about 24 hours, yielding larvae that can swim in just three to four days.
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PREP07 Test 1
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A certain library assesses fines for overdue books as follows. On the first day that a book is overdue, the total fine is $0.10. For each additional day that the book is overdue, the total fine is either increased by $0.30 or doubled, whichever results in the lesser amount. What is the total fine for a book on the fourth day it is overdue?
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PREP07 Test 1
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If m, r, x, and y are positive, is the ratio of m to r equal to the ratio of x to y ?(1) The ratio of m to y is equal to the ratio of x to r.(2) The ratio of m + x to r + y is equal to the ratio of x to y.
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PREP07 Test 1
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Until Berta and Ernst Scharrer established the concept of neurosecretion in 1928, scientists believed that either cells secreted hormones, which made them endocrine cells and thus part of the endocrine system, or conducted electrical impulses, in which case they were nerve cells and thus part of the nervous system.
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PREP07 Test 1
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If a, b, k, and m are positive integers, is $${a}^{k}$$ a factor of $${b}^{m}$$? (1) a is a factor of b. (2) $$k \leq m$$
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