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OG18-定量推理	In a certain order, the pretax price of each regular pencil was $0.03, the pretax price of each deluxe pencil was $0.05, and there were 50% more deluxe pencil than regular pencils. All taxes on the order are a fixed percent of the pretax price. The sum of the total pretax price of the order and the tax on the order was $44.10. What was the amount, in dollars, of the tax on the order?(1) The tax on the order was 5% of the total pretax price of the order.(2) The order contained exactly 400 regular pencils.
OG18-定量推理	If m is an integer greater than 1, is m an even integer?(1) 32 is a factor of m.(2) m is a factor of 32.
OG18-定量推理	If the set S consists of five consecutive positive integers, what is the sum of these five integers?(1) The integer 11 is in S , but 10 is not in S.(2) The sum of the even integers in S is 26.
OG18-定量推理	If x > 0, what is the value of x?(1) $$x^{3} - x = 0$$(2) $$ \sqrt[3]{x} - x = 0$$
OG18-定量推理	Which of the positive numbers x or y is greater?(1) y = 2x (2) 2x + 5y =12
OG18-定量推理	A total of 20 amounts are entered on a spreadsheet that has 5 rows and 4 columns; each of the 20 positions in the spreadsheet contains one amount. The average (arithmetic mean) of the amounts in row i is $${R}_{i}$$ $$(1 \leq i \leq 5)$$. The average of the amounts in column j is Cj $$(1 \leq j \leq 4)$$. What is the average of all 20 amounts on the spreadsheet?(1) $${R}_{1}+{R}_{2}+{R}_{3}+{R}_{4}+{R}_{5}={550}$$(2) $${C}_{1}+{C}_{2}+{C}_{3}+{C}_{4}={440}$$
OG18-定量推理	Was the range of the amounts of money that Company Y budgeted for its project last year equal to the range of the amounts of money that it budgeted for its projects this year?(1) Both last year and this year, Company Y budgeted money for 12 projects and the least amount of money that it budgeted was $400.(2) Both last year and this year, the average (arithmetic mean) amount of money that Company Y budgeted per project was $2,000.
OG18-定量推理 OG19-定量推理	If a, b, c, and d are numbers on the number line shown and if the tick marks are equally spaced, what is the value of a + c?(1) a + b =-8(2) a +d = 0
OG18-定量推理	Is xm < ym?(1) x > y(2) m < 0
OG18-定量推理	If y = $$x^{2} - 6x + 9$$, what is the value of x?(1) y = 0(2) x + y = 3
OG18-定量推理	If $$rs\neq 0$$, is $$ \frac{1}{r} + \frac{1}{s} = 4$$(1) r + s = 4rs(2) r = s
OG18-定量推理	If x, y, and z are three integers, are they consecutive integers?(1) z - x = 2(2) x < y < z
OG18-定量推理	A collection of 36 cards consists of 4 sets of 9 cards each. The 9 cards in each set are numbered 1 through 9. If one card has been removed from the collection, what is the number on that card?(1)The units digit of the sum of the numbers on the remaining 35 cards is 6.(2)The sum of the numbers on the remaining 35 cards is 176.
OG18-定量推理	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.
OG18-定量推理	If r, s, and t are nonzero integers, is $$r^{5}s^{3}t^{4}$$ negative ?(1) rt is negative(2) s is negative
OG18-定量推理	Each Type A machine fills 400 cans per minute, each Type B machine fills 600 cans per minute, and each Type C machine installs 2,400 lids per minute. A lid is installed on each can that is filled and on no can that is not filled. For a particular minute, what is the total number of machines working?(1) A total of 4,800 cans are filled that minute.(2) For that minutes, there are 2 Type B machines working for every Type C machine working
OG18-定量推理	If a and b are constants, what is the value of a?(1) a < b(2) (t - a )(t - b ) = $$t^{2} + t - 12$$, for all values of t
OG18-定量推理	If x is a positive integer, is $$\sqrt{x}$$ an integer?(1) $$\sqrt{4x}$$ is an integer.(2) $$\sqrt{3x}$$ is not an integer.
OG18-定量推理	If p, q, x, y,and z are different positive integers, which of the five integers is the median?(1) p + x < q(2) y < z
OG18-定量推理	If w + z = 28, what is the value of wz?(1) w and z are positive integers(2) w and z are consecutive odd integers