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OG16 OG17 OG18 OG19 OG20 OG2022	In the parallelogram shown, what is the value of x?(1)y = 2x(2)x + z = 120
OG12 OG15 OG16 OG17	The selling price of an article is equal to the cost of the article plus the markup. The markup on a certain television set is what percent of the selling price?(1)The markup on the television set is 25 percent of the cost.(2)The selling price of the television set is $250.
OG17 OG18 OG19 OG20 OG2022	In a product test of a common cold remedy, x percent of the patients tested experienced side effects from the use of the drug and y percent experienced relief of cold symptoms. What percent of the patients tested experienced both side eddects and relief of cold symptoms?(1) Of the 1,000 patients tested, 15 percent experienced neither side effects nor relief of cold symptoms.(2) Of the patients tested, 30 percent experienced relief of cold symptoms without side effects.
OG15 OG16 OG17 OG18	Is $${4}^{x+y}={8}^{10}$$ ?(1) x-y= 9(2) $$\frac{y}{x}=\frac{1}{4}$$
OG16 OG17 OG18 OG19 OG20 OG2022	Is zp negative?(1) $${p}{z}^{4}< 0$$(2) $$p + {z}^{4} = 14$$
OG17 OG18 OG19 OG20 OG2022	In each game of a certain tournament, a contestant either loses 3 points or gains 2 points. If Pat had 100 points at the beginning of the tournament, how many games did Pat play in the tournament?(1) At the end of the tournament, Pat had 104 points.(2) Pat played fewer than 10 games.
OG16 OG17	At the beginning of the year, the Finance Committee and the Planning Committee of a certain company each had n members, and no one was a member of both committees. At the end of the year, 5 members left the Finance Committee and 3 members left the Planning Committee. How many members did the Finance Committee have at the beginning of the year?(1) The ratio of the total number of members who left at the end of the year to the total number of members at the beginning of the year was 1:6.(2) At the end of the year, 21 members remained on the Planning Committee.
OG15 OG16 OG17 OG18 OG19	Can a certain rectangular sheet of glass be positioned on a rectangular tabletop so that it covers the entire tabletop and its edges are parallel to the edges of the tabletop?(1) The tabletop is 36 inches wide by 60 inches long.(2) The area of one side of the sheet of glass is 2,400 square inches.
OG12 OG15 OG16 OG17 OG18	In a random sample of 80 adults, how many are college graduates?(1)In the sample, the number of adults who are not college graduates is 3 times the number who are college graduates.(2)In the sample, the number of adults who are not college graduates is 40 more than the number who are college graduates.
OG12 OG15 OG16 OG17	What is the tenths digit in the decimal representation of a certain number?(1)The number is less than $$\frac1 3$$(2)The number is greater than $$\frac1 4$$
OG12 OG15 OG16 OG17	Robots X, Y, and Z each assemble components at their respective constant rates. If $${r}_{x}$$ is the ratio of Robot X's constant rate to Robot Z's constant rate and $${r}_{y}$$ is the ratio of Robot Y's constant rate to Robot Z's constant rate, is Robot Z's constant rate the greatest of the three?(1)$${r}_{x}<{r}_{y}$$(2)$${r}_{y}< 1$$
OG16 OG17 OG18 OG19 OG20 OG2022	What is the sum of a certain pair of consecutive odd integers?(1)At least one of the integers is negative.(2)At least one of the integers is positive.
OG12 OG15 OG16 OG17 OG18	If a < x < b and c < y < d, is x < y?(1)a < c(2)b < c
OG12 OG15 OG16 OG17 OG18	How many people are directors of both Company K and Company R ?(1)There were 17 directors present at a joint meeting of the directors of Company K and Company R, and no directors were absent.(2)Company K has 12 directors and Company R has 8 directors.
OG12 OG15 OG16 OG17	A clothing store acquired an item at a cost of x dollars and sold the item for y dollars. The store`s gross profit from the item was what percent of its cost for the item?(1)$$y - x = 20$$(2)$$\frac y x=\frac5 4$$
OG17 OG18 OG19 OG20 OG2022	The sum of 4 different odd integers is 64. What is the value of the greatest of these integers?(1) The integers are consecutive odd numbers.(2) Of these integers, the greatest is 6 more than the least.
OG17 OG18 OG19 OG20 OG2022	Was the number of books sold at Bookstore X last week greater than the number of books sold at Bookstore Y last week?(1) Last week, more than 1,000 books were sold at Bookstore X on Saturday and fewer than 1,000 books were sold at Booksotre Y on Saturday.(2) Last week, less than 20 percent of the books sold at Bookstore X were sold on Saturday and more than 20 percent of the books sold at Bookstore Y were sold on Saturday.
OG16 OG17 OG18 OG19 OG20 OG2022	From May 1 to May 30 in the same year, the balance in a checking account increased. What was the balance in the checking account on May 30 ?(1) If, during this period of time, the increase in the balance in the checking account had been 12 percent, then the balance in the account on May 30 would have been $504.(2) During this period of time, the increase in the balance in the checking account was 8 percent.
OG15 OG16 OG17 OG18	If x and y are positive, is $$x < 10 < {y}$$?(1)$$x <{y}$$ and $$xy = 100$$(2) $$x^2<100<{y^2}$$
OG16 OG17 OG18 OG19 OG20 OG2022	A merchant discounted the sale price of a coat and the sale price of a sweater. Which of the two articles of clothing was discounted by the greater dollar amount?(1) The percent discount on the coat was 2 percentage points greater than the percent discount on the sweater.(2) Before the discounts, the sale price of the coat was $10 less than the sale price of the sweater.