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OG15 OG16 OG17 OG18 OG19 OG20 OG2022
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If r and s are positive integers, can the fraction r/s be expressed as a decimal with only a finite number of nonzero digits?(1) s is a factor of 100(2) r is a factor of 100
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OG15 OG16 OG17
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4, 6, 8, 10, 12, 14, 16, 18, 20, 22List M (not shown) consists of 8 different integers each of which is in the list shown. What is the standard deviation of the numbers in list M ?(1) The average (arithmetic mean) of the numbers in list M is equal to the average of the numbers in the list shown.(2) List M does not contain 22.
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OG15 OG16 OG17 OG18 OG19 OG20 OG2022
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 Six shipments of machine parts were shipped from a factory on two trucks, with each shipment entirely on one of the trucks. Each shipment was labeled either S1, S2, S3, S4, S5 or S6. The table shows the value of each shipment as a fraction of the total value of the six shipments. If the shipments on the first truck had a value greater than 1/2 of the total value of the six shipments, was S3 shipped on the first truck?(1) S2 and S4 were shipped on the first truck.(2) S1 and S6 were shipped on the second truck
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OG15 OG16 OG17 OG18 OG19 OG20 OG2022
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lf x, y, and z are three-digit positive integers and if x = y+ z, is the hundreds digit of x equal to the sum of the hundreds digits of y and z ?(1) The tens digit of x is equal to the sum of the tens digits of y and z.(2) The units digit of x is equal to the sum of the units digits of y and z.
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OG15 OG16 OG17 OG18 OG19 OG20 OG2022
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Last year, a certain company began manufacturing product X and sold every unit of product X that it produced. Last year the company's total expenses for manufacturing product X were equal to $100,000 plus 5 percent of the company's total revenue from all units of product X sold. If the company made a profit on product X last year, did the company sell more than 21,000 units of product X last year?(1) The company's total revenue from the sale of product X last year was greater than $110,000(2) For each unit of product X sold last year, the company's revenue was $5.
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If the units digit of integer n is greater than 2、what is the units digit of n?(1) The units digit of n is the same as the units digit of $${n}^{2}$$.(2) The units digit of n is the same as the units digit of $${n}^{3}$$.
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 In the triangle above, what is the value of b?(1)$$c=2\sqrt2$$(2)x = 45
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If the length of Wanda's telephone call was rounded up to the nearest whole minute by her telephone company, then Wanda was charged for how many minutes for her telephone call?(1) The total charge for Wanda's telephone call was $6.50.(2) Wanda was charged $0.50 more for the first minute of the telephone call than for each minute after the first.
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What is the perimeter of isosceles triangle MNP ?(1) MN = 16(2) NP = 20
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OG20
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In a survey of retailers, what percent had purchased computers for business purposes?(1) 85 percent of the retailers surveyed who owned their own store had purchased computers for business purposes.(2) 40 percent of the retailers surveyed owned their own store.
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Of the companies surveyed about the skills they required in prospective employees, 20 percent required both computer skills and writing skills. What percent of the companies surveyed required neither computer skills nor writing skills?(1) Of those companies surveyed that required computer skills, half required writing skills.(2) 45 percent of the companies surveyed required writing skills but not computer skills.
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If X and Y are points in a plane and X lies inside the circle C with center O and radius 2, does Y lie inside circle C ?(1) The length of line segment XY is 3.(2) The length of line segment OY is 1.5.
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In the xy-plane, if line k has negative slope and passes through the point (-5,r), is the x-intercept of line k positive?(1) The slope of line k is -5.(2) r>0
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Does the integer k have at least three different positive prime factors?(1)$$\frac{k}{15}$$ is an integer.(2)$$\frac{k}{10}$$is an integer.
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OG17
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In City X last April, was the average (arithmetic mean) daily high temperature greater than the median daily high temperature?(1) In City X last April, the sum of the 30 daily high temperatures was 2,160°.(2) In City X last April, 60 percent of the daily high temperatures were less than the average daily high temperature.
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Of the 66 people in a certain auditorium, at most 6 people have their birthdays in any one given month. Does at least one person in the auditorium have a birthday in January?(1) More of the people in the auditorium have their birthday in February than in March.(2) Five of the people in the auditorium have their birthday in March.
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Last year the average (arithmetic mean) salary of the 10 employees of Company X was $42,800. What is the average salary of the same 10 employees this year?(1) For 8 of the 10 employees, this year's salary is 15 percent greater than last year's salary.(2) For 2 of the 10 employees, this year's salary is the same as last year's salary.
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In a certain classroom, there are 80 books, of which 24 are fiction and 23 are written in Spanish. How many of the fiction books are written in Spanish?(1) Of the fiction books, there are 6 more that are not written in Spanish than are written in Spanish.(2) Of the books written in Spanish, there are 5 more nonfiction books than fiction books.
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A parent established a college fund for his daughter. Each year the parent made a contribution to the fund, and each year he increased his contribution by a constant amount. If he made a contribution of $800 in the first year, by what amount did the parent increase his contribution to the fund each year?(1) The parent's contribution to the fund in the 18th year was $7600.(2) The parent's contribution to the fund in the 7th year was twice what it was in the 3rd year.
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A certain carton holds fewer than 50 books. What is the number of books in the carton?(1) The books in the carton can be divided into 3 stacks of X books each, with 2 books left over.(2) The books in the carton can be divided into Y stacks of 7 books each, with 2 books left over.
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