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OG16 OG17 OG18 OG19 OG20 OG2022	Which of the following expressions can be written as an integer?(1) $$(\sqrt{82}+\sqrt{82})^{2}$$(2) $$({82})(\sqrt{82})$$(3) $$\frac{(\sqrt{82})(\sqrt{82})}{82}$$
OG16 OG17 OG18 OG19 OG20 OG2022	Pumping alone at their respective constant rates, one inlet pipe fills an empty tank to $$\frac{1}{2}$$ of capacity in 3 hours and a second inlet pipe fills the same empty tank to $$\frac{2}{3}$$ of capacity in 6 hours. How many hours will it take both pipes, pumping simultaneously at their respective constant rates, to fill the empty tank to capacity?
OG16 OG17 OG18 OG19 OG20 OG2022	In the xy-coordinate plane, which of the following points must lie on the line kx + 3y = 6 for every possible value of k?
OG16 OG17 OG18 OG19 OG20 OG2022	If $${x}^{2}-{2}<{0}$$, which of the following specifies all the possible values of x ?
OG18 OG19 OG20 OG2022	Shawana made a schedule for reading books during 4 weeks (28 days) of her summer vacation. She has checked out 12 books from the library. The number of pages in each book and the order in which she plans to read the books are shown in the table above. She will read exactly 50 pages each day. The only exception will be that she will never begin the next book on the same day that she finishes the previous one, and therefore on some days she may read fewer than 50 pages. At the end of the 28th day, how many books will Shawana have finished?
OG17 OG18 OG19 OG20 OG2022	In Western Europe, x bicycles were sold in each of the years 1990 and 1993. The bicycle producers of Western Europe had a 42 percent share of this market in 1990 and a 33 percent share in 1993. Which of the following represents the decrease in the annual number of bicycles produced and sold in Western Europe from 1990 to 1993?
OG18 OG19 OG20 OG2022	If k is a positive integer, what is the remainder when $$(k + 2)({k}^{3} – k)$$ is divided by 6 ?
OG19 OG20 OG2022	Which of the following fractions is closest to $$\frac{1}{2}$$
OG18 OG19 OG20 OG2022	If p $$\neq 0$$ and $$p - \frac{1-p^{2}}{p} = \frac{r}{p}$$, then r =
OG17 OG18 OG19 OG20 OG2022	If the range of the six numbers 4, 3, 14, 7, 10, and x is 12, what is the difference between the greatest possible value of x and least possible value of x ?
OG18 OG19 OG20 OG2022	What number is 108 more than two-thirds of itself?
OG15 OG16 OG17 OG18 OG19 OG20 OG2022	Company P had 15 percent more employees in December than it had in January. If Company P had 460 employees in December, how many employees did it have in January?
OG17 OG18 OG19 OG20 OG2022	A doctor prescribed 18 cubic centimeters of a certain drug to a patient whose body weight was 120 pounds. If the typical dosage is 2 cubic centimeters per 15 pounds of body weight, by what percent was the prescribed dosage greater than the typical dosage?
OG16 OG17 OG18 OG19 OG20 OG2022	The function f is defined by $${f}({x})=\sqrt x-{10}$$ for all positive numbers x. If $$u = f(t)$$ for some positive numbers $$t$$ and $$u$$. What is t in terms of $$u$$?
OG20 OG2022	If rectangle ABCD is inscribed in the circle above, what is the area of the circular region?
OG20 OG2022	In quadrilateral ABCD above, what is the length of AB ?
OG20 OG2022	Three-fourths of the area of a rectangular lawn 30 feet wide by 40 feet long is to be enclosed by a rectangular fence. If the enclosure has full width and reduced length rather than full length and reduced width, how much less fence will be needed?
OG20 OG2022	In the floor plan of an executive's beach house above, the north and south walls of the living room are parallel. What is the floor area, in square feet, of the bedroom?
OG20 OG2022	On a scale drawing, a rectangle 1 inch by $$1\frac{1}{3}$$inches represents the floor of a room and the indicated scale is 1 inch equals 15 feet. How many square tiles 6 inches on a side will be needed to cover this floor? (1 foot = 12 inches)
OG18 OG19 OG20 OG2022	If m and p are positive integers and$$ m^{2} + p^{2} < 100$$, what is the greatest possible value of mp ?