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PREP07 Test 1
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In the graduating class of a certain college, 48 percent of the students are male and 52 percent are female. In this class 40 percent of the male and 20 percent of the female students are 25 years old or older. If one student in the graduating class is randomly selected, approximately what is the probability that he or she will be less than 25 years old?
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PREP07 Test 1
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Rates for having a manuscript typed at a certain typing service are $5 per page for the first time a page is typed and $3 per page each time a page is revised. If a certain manuscript has 100 pages, of which 40 were revised only once, 10 were revised twice, and the rest required no revisions, what was the total cost of having the manuscript typed?
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PREP07 Test 1
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Alice's take-home pay last year was the same each month, and she saved the same fraction of her take-home pay each month. The total amount of money that she had saved at the end of the year was 3 times the amount of that portion of her monthly take-home pay that she did not save. If all the money that she saved last year was from her take-home pay, what fraction of her take-home pay did she save each month?
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PREP07 Test 1
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On July 1 of last year, the total number of employees at Company E was decreased by 10 percent. Without any change in the salaries of the remaining employees, the average (arithmetic mean) employee salary was 10 percent more after the decrease in number of employees than before the decrease. The total of the combined salaries of all of the employees at Company E after July 1 last year was what percent of that before July 1 last year?
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PREP07 Test 1
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A certain company has 18 equally qualified applicants for 4 open positions. How many different groups of 4 applicants can be chosen by the company to fill the positions if the order of selection does not matter?
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PREP07 Test 1
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A certain law firm consists of 4 senior partners and 6 junior partners. How many different groups of 3 partners can be formed in which at least one member of the group is a senior partner? (Two groups are considered different if at least one group member is different.)
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PREP07 Test 1
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An investment of d dollars at k percent simple annual interest yields $600 interest over a 2-year period. In terms of d, what dollar amount invested at the same rate will yield $2,400 interest over a 3-year period?
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PREP07 Test 1
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 In the rectangular coordinate system above, for which of the shaded regions is the area 2 ?
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PREP07 Test 1
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 In the figure above, equilateral triangle ABC is inscribed in the circle. If the length of arc ABC is 24, what is the approximate diameter of the circle?
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PREP07 Test 1
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For all positive integers of m, [m]=3m when m is odd, and $$\frac{1}{2}$$m when m is even. Which of the following is equal to [9]*[6]?
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PREP07 Test 1
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. A certain office supply store stocks 2 sizes of self-stick notepads, each in 4 colors:blue, green, yellow, or pink. The store packs the notepads in packages that contain either 3 notepads of the same size and the same color or 3 notepads of the same size and of 3 different colors. If the order in which the colors are packed is not considered, how many different packages of the types described above are possible?
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PREP07 Test 1
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. For a certain examination, a score of 58 was 2 standard deviations below the mean,and a score of 98 was 3 standard deviations above the mean. What was the mean score for the examination?
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PREP07 Test 1
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Which of the following is equal to the value of $${2}^{5}+{2}^{5}+{3}^{5}+{3}^{5}+{3}^{5}$$ ?
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PREP07 Test 1
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The total cost of a vacation was divided equally among 3 people. If the total cost of the vacation had been divided equally among 4 people, the cost per person would have been $50 less. What was the total cost of the vacation?
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PREP07 Test 1
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 The table shows the number of red blood cells per cubic millimeter of blood for each of five people. What is the median number of red blood cells per cubic millimeter of blood for these people?
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PREP07 Test 1
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If the speed of x meters per second is equivalent to the speed of y kilometers per hour,what is y in terms of x ?(1 kilometer = 1,000 meters)
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PREP07 Test 1
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A 4-person task force is to be formed from the 4 men and 3 women who work in Company G's human resources department. If there are to be 2 men and 2 women on this task force, how many different task forces can be formed?
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PREP07 Test 1
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If a equals the sum of the even integers from 2 to 20, inclusive, and b equals the sum of the odd integers from 1 to 19, inclusive, what is the value of a - b ?
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PREP07 Test 1
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A set of 15 different integers has a median of 25 and a range of 25. What is the greatest possible integer that could be in this set?
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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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