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OG18-数学分册	What is the value of $$x^{2} - y^{2}$$?(1) $$({x - y})^{2} = 9$$(2) x + y = 6
OG18-数学分册	For each landscaping job that takes more than 4 hours, a certain contractor charges a total of r dollars for the first 4 hours plus 0.2r dollars for each additional hour or fraction of an hour, where r>100. Did a particular landscaping job take more than 10 hours?(1) The contractor charged a total of $288 for the job.(2) The contractor charged a total of 2.4r dollars for the job.
OG18-数学分册	If $$x^{2} = 2^{x}$$, what is the value of x?(1) $$2x = ({\frac{x}{2}})^{3}$$(2) $$x = {2}^{x -2}$$
OG18-数学分册	The sequence $$s_{1}$$, $$s_{2}$$, $$s_{3}$$, ...$$s_{n}$$,... is such that $$s_{n} = \frac{1}{n} - \frac{1}{n +1}$$ for all integers $$n\ge 1$$. If k is a positive integer, is the sum of the first k terms of the sequence greater than $$\frac{9}{10}$$?(1) k > 10(2) k < 19
OG18-数学分册	In the sequence S of numbers, each term after the first two terms is the sum of the two immediately preceding terms. What is the 5th term of S?(1) The 6th term of S minus the 4th term equals 5.(2) The 6th term of S plus the 7th term equals 21.
OG18-数学分册	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.
OG18-数学分册	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.
OG18-数学分册	In the xy-plane, lines k and $$\ell$$ intersect at the point (1,1) . Is the y-intercept of k greater than the y-intercept of $$\ell$$?(1) The slope of k is less than the slope of $$\ell$$.(2) The slope of $$\ell$$ is positive.
OG18-数学分册	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
OG18-数学分册	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.
OG18-数学分册	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.
OG18-数学分册	If S is a set of four numbers w, x, y, and z, is the range of the numbers in S greater than 2?(1) w - z >2(2) z is a the least number in S.
OG18-数学分册	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.
OG18-数学分册	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.
OG18-数学分册	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.
OG18-数学分册	Stations X and Y are connected by two separate, straight, parallel rail lines that are 250 miles long. Train P and train Q simultaneously left Station X and Station Y, respectively, and each train traveled to the other's point of departure. The two trains passed each other after traveling for 2 hours. When the two trains passed, which train was nearer to its destination?(1)At the time when the two trains passed, train P had averaged a speed of 70 miles per hour.(2)Train Q averaged a speed of 55 miles per hour for the entire trip.
OG18-数学分册	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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