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OG18-数学分册	If x, y, and z are positive numbers, is x > y > z?(1) xz > yz(2) yx > yz
OG18-数学分册	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.
OG18-数学分册	If $$x^{2} + y^{2} = 29$$, what is the value of $${(x - y)}^{2} ?$$(1) xy = 10(2) x =5
OG18-数学分册	After winning 50 percent of the first 20 games it played, Team A won all of the remaining games it played . What was the total number of games that Team A won?(1) Team A played 25 games altogether.(2) Team A won 60 percent of all the games it played.
OG18-数学分册	Is x between 0 and 1?(1) $$x^{2}$$ is less than x.(2)$$ x^{3}$$ is positive.
OG18-数学分册	If m and n are nonzero integers, is $$m^{n}$$ an integer?(1) $$n^{m}$$ is positive.(2) $$n^{m}$$ is an integer.
OG18-数学分册	What is the value of xy?(1) x + y = 10(2) x - y = 6
OG18-数学分册	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.
OG18-数学分册	Is $$x^{2}$$ greater than x?(1) $$x^{2} $$is greater than 1.(2) x is greater than -1.
OG18-数学分册	Michael arranged all his books in a bookcase with 10 books on each shelf and no books left over. After Michael acquired 10 additional books, he arranged all his books in a new bookcase with 12 books on each shelf and no books left over. How many books did Michael have before he acquired the 10 additional books?(1) Before Michael acquired the 10 additional books, he had fewer than 96 books.(2) Before Michael acquired the 10 additional books, he had more than 24 books
OG18-数学分册	If xy > 0, does (x -1)(y -1) = 1?(1) x + y = xy(2) x =y
OG18-数学分册	Last year in a group of 30 businesses, 21 reported a net profit and 15 had investments in foreign markets. How many of the businesses did not report a net profit nor invest in foreign markets last year?(1) last year 12 of the 30 businesses reported a net profit and had investments in foreign markets.(2) last year 24 of the 30 businesses reported a net profit or invested in foreign markets, or both.
OG18-数学分册	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.
OG18-数学分册	If x + y + z > 0, is z >1?(1) z > x + y + 1(2) x + y +1 < 0
OG18-数学分册	For all z, [z] denotes the least integer greater than or equal to z. Is [x] = 0?(1) - 1 < x < - 0.01(2) [x + 0.5] = 1
OG18-数学分册	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.
OG18-数学分册	If xy = -6, what is the value of xy (x +y )?(1) x - y = 5 (2) $${x}{y}^{2}={18}$$
OG18-数学分册	[y] denotes the greatest integer less than or equal to y. Is d < 1?(1) d = y - [y](2) [d] = 0
OG18-数学分册	If N is a positive odd integer, is N prime?(1) $$N = 2^{k} + 1$$ for some positive integer k.(2) N + 2 and N + 4 are both prime.
OG18-数学分册	If m is a positive integer, then $${M}^{3}$$ has how many digits?(1) M has 3 digits.(2) $${M}^{2}$$ has 5 digits