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OG18 OG19 OG20 OG2022
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Each month, Jim receives a base salary plus a 10 percent commission on the price of each car he sells that month. If Jim sold 15 cars last month, what was the total amount of base salary and commissions that Jim received that month?(1) Last month, Jim's base salary was $3,000.(2) Last month, Jim sold 3 cars whose prices totaled $60,000 and 5 cars whose prices totaled $120,000.
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OG18 OG19 OG20 OG2022
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At the beginning of the year, the Finance Committee and the Planning Committee of a certain company each had n members, and no one was a member of both committees. At the end of the year, 5 members left the Finance Committee and 3 members left the Planning Committee. How many members did the Finance Committee have at the beginning of the year? (1) The ratio of the total number of members who left at the end of the year to the total number of members at the beginning of the year was 1:6.(2) At the end of the year, 21 members remained on the Planning Committee.
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OG18 OG19 OG20 OG2022
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If a is a 3-digit integer and b is a 3-digit integer, is the units digit of the product of a and b greater than 5? (1) The units digit of a is 4 (2) The units digit of b is 7.
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OG18 OG19 OG20 OG2022
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Of a group of 50 households, how many have at least one cat or at least one dog, but not both? (1) The number of households that have at least one cat and at least one dog is 4. (2) The number of households that have no cats and no dogs is 14.
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OG18 OG19 OG20 OG2022
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A certain mixture of paint requires blue, yellow, and red paints in ratios of 2:3:1, respectively, and no other ingredients. If there are ample quantities of the blue and red paints available, is there enough of the yellow paint available to make the desired amount of the mixture? (1) Exactly 20 quarts of the mixture are needed. (2) Exactly 10 quarts of the yellow paint are available.
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OG18 OG19 OG20 OG2022
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A certain plumber charges $92 for each job completed in 4 hours or less and $23 per hour for each job completed in more than 4 hours. If it took the plumber a total of 7 hours to complete two separate jobs, what was the total amount charged by the plumber for the jobs? (1) The plumber charges $92 for one of the two jobs. (2) The plumber charged $138 for one of the two jobs.
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OG18 OG19 OG20 OG2022
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If q, s, and t are all different numbers, is q < s < t? (1) t - q = |t - s| + |s - q|(2) t > q
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OG18-数学分册
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What is the number of 360-degree rotations that a bicycle wheel made while rolling 100 meters in a straight line without slipping?(1) The diameter of the bicycle wheel, including the tire, was 0.5 meter.(2) The wheel made twenty 360-degree rotations per minute.
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OG18-数学分册
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In the xy-plane, point (r,s)lies on a circle with center at the origin. What is the value of $$r^{2} + s^{2}$$?(1) The circle has radius 2.(2) The point $$(\sqrt{2}, - \sqrt{2})$$ lies on the circle.
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OG18-数学分册
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A triangle has side lengths of a, b, and c centimeters. Does each angle in the triangle measure less than 90 degrees?(1) The 3 semicircles whose diameters are the sides of the triangle have areas that are equal to 3 $$cm^{2}$$, 4$$cm^{2}$$, and 6 $$cm^{2}$$, respectively.(2) c < a + b < c + 2
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OG18-数学分册
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A certain list consists of 400 different numbers. Is the average (arithmetic mean) of the numbers in the list greater than the median of the numbers in the list?(1) Of the numbers in the list, 280 are less than the average.(2) Of the numbers in the list, 30 percent are greater than or equal to the average.
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OG18-数学分册
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K is a set of numbers such that (i) if x is in K, then -x is in K,and (ii) if each of x and y is in K, then xy is in K.Is 12 in K?(1) 2 is in K.(2) 3 is in K.
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OG18-数学分册
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In the equation $$x^{2} + bx + 12 = 0$$, x is a variable and b is a constant. What is the value of b?(1) x - 3 is a factor of $$x^{2} + bx +12.$$(2) 4 is a root of the equation $$x^{2} + bx + 12 = 0$$.
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OG18-数学分册
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M and N are integers such that 6 < M < N. What is the value of N?(1) The greatest common divisor of M and N is 6.(2) The least common multiple of M and N is 36.
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OG18-数学分册
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If 75 percent of the guests at a certain banquet ordered dessert, what percent of the guests ordered coffee?(1) 60 percent of the guests who ordered dessert also ordered coffee.(2) 90 percent of the guests who ordered coffee also ordered dessert.
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OG18-数学分册
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If the average (arithmetic mean) of n consecutive odd integers is 10, what is the least of the integers?(1) The range of the n integers is 14.(2) The greatest of the n integers is 17.
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OG18-数学分册
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 In the xy-plane shown, the shaded region consists of all points that lie above the graph of $$y = x^{2} - 4x$$ and below the x- axis. Does the point (a,b) (not show ) lie in the shaded region if b < 0?(1) 0 < a < 4(2) $$a^{2} - 4a < b$$
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OG18-数学分册
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On monday morning a certain machine ran continuously at a uniform rate to fill a production order.At what time did it completely fill the order that morning?(1) The machine bagan filling the order at 9:30 a.m.(2) The machine had filled $$\frac{1}{2} $$ of the order by 10:30 a.m. and $$\frac{5}{6} $$ of the order by 11:10 a.m.
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OG18-数学分册
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A small school has three foreign language classes, one in French, one in Spanish, and one in German. How many of the 34 students enrolled in the Spanish class are also enrolled in the French class?(1) There are 27 students enrolled in the French class, and 49 students enrolled in either the French class, the Spanish class, or both of these classes.(2) One - half of the students enrolled in the Spanish class are enrolled in more than one foreign language class.
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OG18-数学分册
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If m and n are positive integers, is m+n divisible by 4?(1) m and n are each divisible by 2.(2) Neither m nor n is divisible by 4.
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