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Is –7 < y < 10 ?(1) y > -6(2) y < 0
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If x and y are integers, is y an even integer?(1) $${2}{y}-{x}={x}^{2}-{y}^{2}$$(2) x is an odd integer.
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If $$r = \frac{(x+y)}{2}$$ and $$s = \frac{(x-y)}{2}$$, what is the value of r + s?(1) y = 4(2) x = 6
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Is 12 a factor of the positive integer n?(1) n is a factor of 36.(2) 3 is a factor of n.
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If n is an integer, is $${10}^{n}\leq 0.001$$ ?(1) $$n \leq -2$$(2) n > -5
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Last month, a certain manufacturer sold a total of 1,000 unites of its two products, A and B. The selling price of each unit of product A was $1,500, and the selling price of each unit of product B was $2,000. How many units of product A did the manufacturer sell last month?(1) Last month, the manufacturer's total revenue from the sale of units of products A and B was $1,600,000.(2) Last month, the manufacturer's revenue from the sale of units of products A was 3 times the manufacturer's revenue from the sale of units of product B.
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If r > 0, is rs < 0 ?(1) s < 0(2) s < r
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A certain database charges users a registration fee of x dollars, and if charges registered users y dollars per file downloaded. If there are no other charges for users of this database, what is the amount of the registration fee?(1) The total charge to download 50 files is $150, including the registration fee.(2) The total charge to download 100 files is $225, including the registration fee.
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The total number of printers and computers at a certain company is 36. How many printers does the company have?(1) The ratio of the number of the company's printers to the number of its computers is 5 to 7.(2) The company has 6 more computers than printers.
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OG16 OG17 OG18 OG19 OG20 OG2022
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In planning for a trip, Joan estimated both the distance of the trip, in miles, and her average speed, in miles per hour. She accurately divided her estimated distance by her estimated average speed to obtain an estimate for the time, in hours, that the trip would take. Was her estimate within 0.5 hour of the actual time that the trip took?(1) Joan's estimate for the distance was within 5 miles of the actual distance.(2) Joan's estimate for her average speed was within 10 miles per hour of her actual average speed.
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The average (arithmetic mean) of a list of numbers is what percent of the sum of the numbers?(1) There are 8 numbers in the list.(2) The sum of the numbers in the list is 100.
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If x and y are positive integers, what is the value of $$({x}+{y})^{2}$$?(1) x = y - 3(2) x and y are prime numbers.
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All 48 seniors in a certain high school take one of two English classes. What is the average (arithmetic mean) height of the seniors in this school?(1)In the school, the average height of the seniors in the English class with the larger number of students is 70 inches.(2) In the school, the average height of the seniors in the English class with the smaller number of students is $$\frac4 5$$ of the average height of the seniors in the other English class.
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Of the high school students who participated in a recent survey, 110 had taken a course in biology and 230 had taken a course in history. How many students participated in the survey?(1) Of the students who participated in the survey, 120 had taken neither a course in biology nor a course in history.(2) Of the students who participated in the survey, 60 had taken both a course in biology and a course in history.
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If X, Y, and Z are positive integers, is Y >X?(1) $${Y}^{2}={X}{Z}$$(2) Z-X >0
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What is the value of y ?(1)y is an odd integer between 28 and 34.(2)31 < y < 36
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PREP07 Test 1
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Of the 800 students at a certain college, 250 students live on campus and are more than 20 years old. How many of the 800 students live on campus and are 20 years old or less?(1) 640 students at the college are more than 20 years old.(2) 60 students at the college are 20 years old or less and live off campus.
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PREP07 Test 1
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What is the average (arithmetic mean) of eleven consecutive integers?(1)The average of the first nine integers is 7.(2)The average of the last nine integers is 9.
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PREP07 Test 1
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What is the retail price of a certain calculator?(1)The retail price of the calculator is $2.00 more than the wholesale price.(2)The retail price of the calculator is 50 percent more than the $4.00 wholesale price.
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PREP07 Test 1
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A wooden rod is cut into two pieces. What is the length of the longer piece?(1)One of the pieces is 20 inches longer than the other piece.(2)The length of the shorter piece is $$\frac{1}{3}$$ the length of the longer piece.
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