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PREP07 Test 1
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Of the following, which is least?
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PREP07 Test 1
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A certain stock exchange designates each stock with a one-, two-, or three-letter code,where each letter is selected from the 26 letters of the alphabet. If the letters may be repeated and if the same letters used in a different order constitute a different code, how many different stocks is it possible to uniquely designate with these codes?
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PREP07 Test 1
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Six machines, each working at the same constant rate, together can complete a certain job in 12 days. How many additional machines, each working at the same constant rate,will be needed to complete the job in 8 days?
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PREP07 Test 1
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A certain company employs 6 senior officers and 4 junior officers. If a committee is to be created that is made up of 3 senior officers and 1 junior officer, how many different committees are possible?
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PREP07 Test 1
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If $$x \neq0$$, then $$\frac{\sqrt {x^2}}{x}$$
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OG16 OG17 OG18 OG19 OG20 OG2022
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If (1 – 1.25)N = 1, then N =
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OG16 OG17 OG18 OG19 OG20 OG2022
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 The graph of the equation xy = k, where k < 0, lies in which two of the quadrants shown above?
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OG16 OG17 OG18 OG19 OG20 OG2022
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 The smaller rectangle in the figure above represents the original size of a parking lot before its length and width were each extended by w feet to make the larger rectangular lot shown. If the area of the enlarged lot is twice the area of the original lot, what is the value of w?
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OG16 OG17 OG18 OG19 OG20 OG2022
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A certain high school has 5,000 students. Of these students, x are taking music, y are taking art, and z are taking both music and art. How many students are taking neither music nor art?
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OG17 OG16 OG18 OG19 OG20 OG2022
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Jackie has two solutions that are 2 percent sulfuric acid and 12 percent sulfuric acid by volume, respectively. If these solutions are mixed in appropriate quantities to produce 60 liters of a solution that is 5 percent sulfuric acid, approximately how many liters of the 2 percent solution will be required?
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OG16 OG17 OG18 OG19 OG20 OG2022
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A certain investment earned a fixed rate of 4 percent interest per year, compounded annually, for five years. The interest earned for the third year of the investment was how many dollars greater than that for the first year?(1) The amount of the investment at the beginning of the second year was $4,160.00.(2) The amount of the investment at the beginning of the third year was $4,326.40.
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OG16 OG17 OG18
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If a and b are positive integers, is $$\frac{a}{b}$$ < $$\frac{9}{11}$$ ?(1) $$\frac{a}{b}$$ < 0.818(2) $$\frac{b}{a}$$ > 1.223
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OG16 OG17 OG18 OG19 OG20 OG2022
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Is zp negative?(1) $${p}{z}^{4}< 0$$(2) $$p + {z}^{4} = 14$$
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OG16 OG17 OG18 OG19 OG20 OG2022
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 Two points, N and Q (not shown), lie to the right of point M on line ℓ. What is the ratio of the length of QN to the length of MQ?(1) Twice the length of MN is 3 times the length of MQ.(2) Point Q is between points M and N.
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OG16 OG17 OG18 OG19 OG20 OG20 OG2022
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 The figure above represents an L-shaped garden. What is the value of k?(1) The area of the garden is 189 square feet.(2) The perimeter of the garden is 60 feet
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OG17 OG18 OG19 OG20 OG2022
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A technician makes a round-trip to and from a certain service center by the same route. If the technician completes the drive to the center and then completes 10 percent of the drive from the center, what percent of the round-trip has the technician completed?
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OG17 OG18 OG19 OG20 OG2022
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The harvest yield from a certain apple orchard was 350 bushels of apples. If x of the trees in the orchard each yielded 10 bushels of apples, what fraction of the harvest yield was from these x trees?
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OG17 OG16 OG18 OG19 OG20 OG2022
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For a party, three solid cheese balls with diameters of 2 inches, 4 inches, and 6 inches, respectively, were combined to form a single cheese ball. What was the approximate diameter, in inches, of the new cheese ball?(The volume of a sphere is $$\frac{4}{3}\pi{r}^{3}$$, where r is the radius.)
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OG17 OG18 OG19 OG20 OG2022
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The product of two negative numbers is 160. If the lesser of the two numbers is 4 less than twice the greater, what is the greater number?
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OG17 OG18 OG19 OG20 OG2022
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 The window in the figure above consists of a rectangle and a semicircle with dimensions as shown. What is the area, in square feet, of the window?
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