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OG21 OG2022	3P5 $$\frac{+4QR}{8S4}$$ In the correctly worked addition problem shown, P, Q, R, and S are digits. If Q = 2P, which of the following could be the value of S?
OG21 OG2022	Exchange Rates in a Particular Year $1 = 5.3 francs $1 = 1.6 marks An America n dealer bought a table in Germany for 480 marks and sold the same table in Fra nee for 2,385 francs. What was the dealer's gross profit on the two transactions in dollars?
OG21 OG2022	One inch represents 20 miles on Map K and one inch represents 30 miles on Map L. An area of 3 square inches represents how many more square miles on Map L than on Map K?
OG21 OG2022	The sides of a square region, measured to the nearest centimeter, are 6 centimeters long. The least possible value of the actual area of the square region is
OG21 OG2022	Carol purchased one basket of fruit consisting of 4 apples and 2 oranges and another basket of fruit consisting of 3 apples and 5 oranges. Carol is to select one piece of fruit at random from each of the two baskets. What is the probability that one of the two pieces of fruit selected will be an apple and the other will be an orange?
OG21 OG2022	Last year Brand X shoes were sold by dealers in 403 different regions worldwide, with an average (arithmetic mean) of 98 dealers per region. If last year these dealers sold an average of 2,488 pairs of Brand X shoes per dealer, which of the following is closest to the total number of pairs of Brand X shoes sold last year by the dealers worldwide?
OG21 OG2022	If k and n are positive integers such that n > k, the n k! + (n - k) • (k - 1)! is equivale nt to which of the following?
OG21 OG2022	If each of the 12 teams participating in a certain tournament plays exactly one game with each of the other teams, how many games will be played?
OG21 OG2022	If the length of a diagonal of a square is $$2\sqrt{x}$$ what is the area of the square in terms of x?
OG21 OG2022	November 16, 2001, was a Friday. If each of the years 2004, 2008, and 2012 had 366 days, and the remaining years from 2001 through 2014 had 365 days, what day of the week was November 16, 2014?
OG21 OG2022	The outer dimensions of a closed rectangular cardboard box are 8 centimeters by 10 centimeters by 12 centimeters, and the six sides of the box are uniformly $$\frac{1}{2}$$ centimeter thick. A closed canister in the shape of a right circular cylinder is to be placed inside the box so that it stands upright when the box rests on one of its sides. Of all such canisters that would fit, what is the outer radius, in centimeters, of the canister that occupies the maximum volume?
OG21 OG2022	In the figure above, ABCD is a parallelogram and E is the midpoint of side AD. The area of triangular region ABE is what fraction of the area of quadrilateral region BCDE?
OG21 OG2022	In the xy-coordinate plane above, what are the coordinates of point N? (1) Triangle MNP is equilateral. (2) Point M has coordinates（-4,0）.
OG21 OG2022	In the xy-coordinate plane, what are the x-coordinates of the four vertices of square JKMN? (1) J and M are on the x-axis, and l < k and N are on the y-axis. (2) The center of the square is at the origin.
OG21 OG20 OG2022	There are 2 groups of students who took a history test. Was the average (arithmetic mean) score of the students in Group A higher than the average score of the students in Group B who took the test? (1) Of the students who took the test, 10 were in Group A and 12 were in Group B. (2) On the test, the highest score achieved was achieved by a Group B student and the lowest score achieved was achieved by a Group A student.
OG21 OG2022	If all of the six faces of a concrete block are rectangular, what is the volume of the block? (1) Each of the four lateral faces of the block has an area of 200 square inches. (2) The top of the block is square and has an area of 400 square inches.
OG21 OG2022	What is the value of z in the figure above? (1) x = 50 (2) y = 35
OG21 OG2022	In the figure shown,is $$\ell1$$ \|\| $$\ell2$$? (1) r=s (2) t=u
OG21 OG2022	What is the volume of the right circular cylinder X? (1) The height of X is 20. (2) The base of X has area 25π.
OG21 OG20 OG2022	A certain computer company produces two different monitors, P and Q. In 2010, what was the net profit from the sale of the two monitors? (1) Of the company's expenses in 2010, rent and utilities totaled $500,000. (2) In 2010, the company sold 50,000 units of monitor P at $300 per unit and 30,000 units of monitor Q at $650 per unit.