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OG19-数学分册
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If a and b are positive integers, is $$\sqrt[3]{ab}$$ an integer?(1) $$\sqrt{a}$$ is an integer.(2) $$b = \sqrt{a}$$
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OG18-数学分册
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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
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OG18-数学分册
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If m and n are nonzero integers, is $$m^{n}$$ an integer?(1) $$n^{m}$$ is positive.(2) $$n^{m}$$ is an integer.
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OG18 OG19 OG20 OG2022
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 Kim and Sue each bought some roses and some daisies at the prices shown above. If Kim bought the same total number of roses and daisies as Sue, was the price of Kim's purchase of roses and daisies higher than the price of Sue's purchase of roses and daisies?(1) Kim bought twice as many daisies as roses.(2) Kim bought 4 more roses than Sue bought.
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OG18 OG19 OG20 OG2022
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Jazz and blues recordings accounted for 6 percent of the $840 million revenue from the sales of recordings in Country Y in 2000. What was the revenue from the sales of jazz and blues recordings in Country Y in 1998?(1) Jazz and blues recordings accounted for 5 percent of the revenue from the sales of recordings in Country Y in 1998.(2) The revenue from the sales of jazz and blues recordings in Country Y increased by 40 percent from 1998 to 2000.
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OG18-数学分册
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Did Insurance Company K have more than $300 millioin in total net profits last year?(1) Last year Company K paid out $0.95 in claims for every dollar of premiums collected.(2) Last year Company K earned a total of $150 million in profits from the investment of accumulated surplus premiums from previous years.
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OG18-数学分册
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How much did credit-card fraud cost United States banks in year X to the nearest $10 million?(1) In year X , counterfeit cards and telephone and mail-order fraud accounted for 39 percent of the total amount that card fraud cost the banks .(2) In year X, stolen cards accounted for $158.4 million, or 16 percent , of fraud the total amount that creditcard cost the banks.
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OG18-数学分册
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What is the value of the integer N?(1) 101 < N < 103(2) 202 < 2N < 206
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OG18-数学分册
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Is 2x > 2y ?(1) x > y(2) 3x >3y
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OG18-数学分册
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Is zw positive?(1) $$z + w^{3} = 20$$(2) z is positive
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OG18-数学分册
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If y is greater than 110 percent of x, is y greater than 75?(1) x > 75(2) y - x = 10
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OG18-数学分册
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In a two-month survey of shoppers, each shopper bought one of two brands of deterget, X or Y, in the first month and again bought one of these brands in the second month. In the survey, 90 percent of the shoppers who bought Brand X in the first month bought Brand X again in the second month, while 60 percent of the shoppers who bought Brand Y again in the second month. What perccent of the shoppers bought Brand Y in the second month?(1) In the first month, 50 percent of the shoppers bought Brand X.(2) The total number of shoppers surveyed was 5,000.
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OG18-数学分册
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If $$x^{2} + y^{2} = 29$$, what is the value of $${(x - y)}^{2} ?$$(1) xy = 10(2) x =5
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OG18-数学分册
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Is xm < ym?(1) x > y(2) m < 0
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OG18-数学分册
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 In the figure above, $$\overline{AB}$$, which has length z cm, is tangent to the circle at point A , and $$\overline{BD}$$, which has length y cm, intersects the circle at point C. If BC = x cm and $$z = \sqrt{xy}$$, what is the value of x?(1) CD = x cm(2) $$z = 5\sqrt{2}$$
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OG18-数学分册
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If x, y, and z are three integers, are they consecutive integers?(1) z - x = 2(2) x < y < z
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OG18-数学分册
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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.
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OG18-数学分册
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If y = $$x^{2} - 6x + 9$$, what is the value of x?(1) y = 0(2) x + y = 3
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OG18-数学分册 OG19-数学分册
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 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
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OG18-数学分册
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Is the integer n a prime number?(1) $$24 \le n \le 28$$(2) n is not divisible by 2 or 3.
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