|
OG12 OG15 OG16 OG17 OG18 OG19 OG20 OG2022
|
A pharmaceutical company received $3 million in royalties on the first $20 million in sales of the generic equivalent of one of its products and then $9 million in royalties on the next $108 million in sales. By approximately what percent did the ratio of royalties to sales decrease from the first $20 million in sales to the next $108 million in sales?
|
|
OG12 OG15 OG16 OG17 OG18 OG19 OG20 OG2022
|
Which of the following is equivalent to the pair of inequalities x + 6>10 and $$x-3\le5$$
|
|
OG12
|
If x, y, and k are positive numbers such that $$(\frac{x}{x+y})({10})+(\frac{y}{x+y})({20})=k$$ and if $$x<{y}$$ which of the following could be the value of k?
|
|
OG12
|
This year Henry will save a certain amount of his income, and he will spend the rest. Next year Henry will have no income, but for each dollar that he saves this year, he will have 1 + r dollars available to spend. In terms of r, what fraction of his income should Henry save this year so that next year the amount he has available to spend will be equal to half the amount that he spends this year?
|
|
OG12 OG15 OG16 OG17 OG18 OG19 OG20 OG2022
|
if $${m}^{-1}=-\frac{1}{3}$$,then $${m}^{-2}$$ is equal to
|
|
OG12 OG15 OG16 OG17 OG18 OG19 OG20 OG2022
|
What is the difference between the sixth and the fifth terms of the sequence 2,4, 7,... whose $$n^{th}$$ term is $$n + {2}^{n-1}$$?
|
|
OG12 OG15 OG16 OG17 OG18 OG19 OG20 OG2022
|
Each week a certain salesman is paid a fixed amount equal to $300, plus a commission equal to 5 percent of the amount of his sales that week over $1,000. What is the total amount the salesman was paid last week?(1)The total amount the salesman was paid last week is equal to 10 percent of the amount of his sales last week.(2)The salesman's sales last week totaled $5,000.
|
|
OG12 OG15 OG17 OG16 OG18 OG19 OG20 OG2022
|
Last year, if Arturo spent a total of $12,000 on his mortgage payments, real estate taxes, and home insurance, how much did he spend on his real estate taxes?(1)Last year, the total amount that Arturo spent on his real estate taxes and home insurance was $$33\frac{1}{3}$$ percent of the amount that he spent on his mortgage payments.(2)Last year, the amount that Arturo spent on his real estate taxes was 20 percent of the total amount he spent on his mortgage payments and home insurance.
|
|
OG12 OG15
|
If [x] denotes the greatest integer less than or equal to x, is [x] = 0 ?(1)5x + 1 = 3 + 2x(2)0 < x < 1
|
|
OG12 OG15 OG16 OG17
|
In triangle ABC, point X is the midpoint of side AC and point Y is the midpoint of side BC. If point R is the midpoint of line segment XC and if point S is the midpoint of line segment YC, what is the area of triangular region RCS ?(1)The area of triangular region ABX is 32.(2)The length of one of the altitudes of triangle ABC is 8.
|
|
OG12 OG15 OG16 OG17
|
A department manager distributed a number of pens, pencils, and pads among the staff in the department, with each staff member receiving x pens, y pencils, and z pads. How many staff members were in the department?(1)The numbers of pens, pencils, and pads that each staff member received were in the ratio 2:3:4, respectively.(2)The manager distributed a total of 18 pens, 27 pencils, and 36 pads.
|
|
OG12 OG15
|
Machines X and Y produced identical bottles at different constant rates. Machine X, operating alone for 4 hours, filled part of a production lot; then Machine Y, operating alone for 3 hours, filled the rest of this lot. How many hours would it have taken Machine X operating alone to fill the entire production lot?(1)Machine X produced 30 bottles per minute.(2)Machine X produced twice as many bottles in 4 hours as Machine Y produced in 3 hours.
|
|
OG12 OG15 OG16 OG17 OG18 OG19 OG20 OG2022
|
For any integers x and y, min(x, y) and max(x, y) denote the minimum and the maximum of x and y, respectively. For example, min(5, 2) = 2 and max(5, 2) = 5. For the integer w, what is the value of min(10, w) ?(1)w = max(20, z) for some integer z.(2)w = max(10, w)
|
|
OG12 OG15 OG16 OG17 OG18 OG19 OG20 OG2022
|
 The table above shows the results of a survey of 100 voters who each responded "Favorable" or "Unfavorable" or "Not Sure" when asked about their impressions of Candidate M and of Candidate N. What was the number of voters who responded "Favorable" for both candidates?(1)The number of voters who did not respond "Favorable" for either candidate was 40.(2)The number of voters who responded "Unfavorable" for both candidates was 10.
|
|
OG12
|
Committee X and Committee Y, which have no common members, will combine to form Committee Z. Does Committee X have more members than Committee Y ?(1)The average (arithmetic mean) age of the members of Committee X is 25.7 years and the average age of the members of Committee Y is 29.3 years.(2)The average (arithmetic mean) age of the members of Committee Z will be 26.6 years.
|
|
OG12 OG15 OG16 OG17 OG18 OG19 OG20 OG2022
|
A certain bookcase has 2 shelves of books. On the upper shelf, the book with the greatest number of pages has 400 pages. On the lower shelf, the book with the least number of pages has 475 pages. What is the median number of pages for all of the books on the 2 shelves?(1)There are 25 books on the upper shelf.(2)There are 24 books on the lower shelf.
|
|
OG12 OG15
|
The sum of prime numbers that are greater than 60 but less than 70 is
|
|
OG12 OG15
|
A rainstorm increased the amount of water stored in State J reservoirs from 124 billion gallons to 138 billion gallons. If the storm increased the amount of water in the reservoirs to 82 percent of total capacity, approximately how many billion gallons of water were the reservoirs short of total capacity prior to the storm?
|
|
OG12 OG15 OG16 OG17
|
When $$\frac{1}{10}$$ percent of 5,000 is subtracted from $$\frac{1}{10}$$ of 5,000, the difference is
|
|
OG12 OG15 OG16 OG17
|
On Monday, a person mailed 8 packages weighing an average (arithmetic mean) of $$12\frac{3}{8}$$ pounds, and on Tuesday, 4 packages weighing an average of $$15\frac{1}{4}$$ pounds. What was the average weight, in pounds, of all the packages the person mailed on both days
|