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OG19 OG20 OG2022
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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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OG18 OG19 OG20 OG2022
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In the two-digit integers $$3■$$ and $$ 2▲$$, the symbols $$■$$ and $$▲$$ represent different digits, and the product ( $$3■$$) ($$2▲$$) is equal to 864. What digit does $$■$$ represent? (1) The sum of $$■$$ and $$▲$$ is 10. (2) The product of $$■$$ of $$▲$$ is 24.
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OG18 OG19 OG20 OG2022
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 Of the four numbers represented on the number line above, is r closest to zero?(1) q=- s(2) - t < q
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OG18 OG19 OG20 OG2022
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Line $$\ell$$ lies in the xy-plane and does not pass through the origin. What is the slope of line $$\ell$$ ? (1) The x - intercept of line $$\ell$$ is twice the y-intercept of line $$\ell$$。 (2) The x-and y-intercepts of line $$\ell$$ are both positive.
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OG18 OG19 OG20 OG2022
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What is the value of x if $$x^{3} < x^{2}$$? (1) -2 < x < 2 (2) x is an integer greater than -2.
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OG18 OG19 OG20 OG2022
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Every object in a box is either a sphere or a cube,and every object in the box is either red or green. How many objects are in the box? (1) There are six cubes and five green objects in the box. (2) There are two red spheres in the box.
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OG18 OG19 OG20 OG2022
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Is the product of two positive integers x and y divisible by the sum of x and y?(1) x=y(2) x=2
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OG18 OG19 OG20 OG2022
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Max purchased a guitar for a total of $624, which consisted of the price of the guitar and the sales tax. Was the sale tax rate greater than 3 percent?(1) The price of the guitar that Max purchased was less than $602.(2) The sales tax for the guitar that Max purchased was less than $30.
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OG18-数学分册
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A tank containing water started to leak. Did the tank contain more than 30 gallons of water when it started to leak?(Note :1 gallon = 128 ounces ) (1) The water leaked from the tank at a constant rate of 6.4 ounces per minute.(2) The tank became empty less than 12 hours after it started to leak.
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OG18-数学分册
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 The circular base of an above-ground swimming pool lies in a level yard and just touches two straight sides of a fence at points A and B, as shown in the figure above. Point C is on the ground where the two sides of the fence meet. How far from the center of the pool's base is point A ? (1) The base has area 250 square feet.(2) The centre of the base is 20 feet from point C.
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OG18-数学分册
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Each of the 45 books on a shelf is written either in English or in Spanish, and each of the books is either a hardcover book or a paperback. If a book is to be selected at random from the books on the shelf, is the probability less than $$\frac{1}{2} $$that the books selected will be a paperback written in Spanish?(1) Of the books on the shelf, 30 are paperbacks.(2) Of the books on the shelf, 15 are written in Spanish.
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OG18-数学分册
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Last year $$\frac{3}{5}$$of the number of a certain club were males. This year the members of the club include all the members from last year plus some new members. Is the fraction of the members of the club who are males greater this year than last year?(1) More than half of the new members are male.(2) The number of members of the club this year is $$\frac{6}{5}$$ the number of members last year.
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OG18-数学分册
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If a , b, and c are consecutive integers and 0 < a < b < c, is the product abc a multiple of 8?(1) The product ac is even.(2) The product bc is a multiple of 4.
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OG18-数学分册
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What is the area of rectangular region R?(1) Each diagonal of R has length 5.(2) The perimeter of R is 14.
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OG18-数学分册
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If r, s, and t are nonzero integers, is $$r^{5}s^{3}t^{4}$$ negative ?(1) rt is negative(2) s is negative
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OG18-数学分册
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Is the perimeter of square S greater than the perimeter of equilateral triangle T?(1) The ratio of the length of a side of S to the length of a side of T is 4:5.(2) The sum of the lengths of a side of S and a side of T is 18.
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OG18-数学分册
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What is the value of $$x^{2} - y^{2}$$?(1) $$({x - y})^{2} = 9$$(2) x + y = 6
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OG18-数学分册
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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
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OG18-数学分册
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The arithmetic mean of a collection of 5 positive integers, not necessarily distinct, is 9. One additional positive integer is included in collection and the arithmetic mean of the 6 integers is computed. Is the arithmetic mean of the 6 intergers at least 10?(1) The additional integer is at least 14.(2) The additional integer is a multiple of 5.
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OG18-数学分册
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If n is the least of three different integers greater than 1, what is the value of n?(1) The product of the three integers is 90.(2) One of the integers is twice one of the other two integers.
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