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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.
OG20 OG2022	A rectangular solid has length, width, and height of L cm, W cm, and H cm, respectively. If these dimensions are increased by x%, y%, and z%, respectively, what is the percentage increase in the total surface area of the solid? 1.L, W, and H are in the ratios of 5:3:4. 2.x = 5, y = 10, z = 20
OG20 OG2022	A certain list, L, contains a total of n numbers, not necessarily distinct, that are arranged in increasing order. If $$L_1$$ is the list consisting of the first $$n_1$$ numbers in L and $$L_2$$ is the list consisting of the last $$n_2$$ numbers in L, is 17 a mode for L ? 1.17 is a mode for $$L_1$$ and 17 is a mode for $$L_2$$. 2.$$n_1$$ + $$n_2$$ = n
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.
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.
OG17 OG18 OG19 OG20 OG2022	If the positive integer n is added to each of the integers 69,94, and 121, what is the value of n?(1) 69 + n and 94 + n are the squares of two consecutive integers.(2) 94 + n and 121 + n are the squares of two consecutive integers.
OG20 OG2022	If a merchant purchased a sofa from a manufacturer for $400 and then sold it, what was the selling price of the sofa? 1.The selling price of the sofa was greater than 140 percent of the purchase price. 2.The merchant's gross profit from the purchase and sale of the sofa was $$\frac{1}{3}$$ of the selling price.
OG19 OG20 OG2022	Last year, in a certain housing development, the average (arithmetic mean) price of 20 new houses was $160,000. Did more than 9 of the 20 houses have prices that were less than the average price last year? (1)Last year the greatest price of one of the 20 houses was $219,000. (2)Last year the median of the prices of the 20 houses was 150,000
OG18 OG19 OG20 OG2022	For a certain city's library, the average cost of purchasing each new book is $28. The library receives $15,000 from the city each year; the library also receives a bonus of $2,000 if the total number of items checked out over the course of the year exceeds 5,000. Did the library receive the bonus last year?(1) The library purchased an average of 50 new books each month last year and received enough money from the city to cover this cost. (2) The lowest number of items checked out in one month was 459.
OG20 OG2022	7, 9, 6, 4, 5, x If x is a number in the list above, what is the median of the list? 1.x > 7 2.The median of the list equals the arithmetic mean of the list.
OG17 OG18 OG19 OG20 OG2022	Three dice, each of which has its 6 sides numbered 1 though 6, are tossed. The sum of the 3 numbers that are facing up is 12. Is at least 1 of these numbers 5?(1) None of the 3 numbers that are facing up is divisible by 3.(2) Of the numbers that are facing up, 2, but not all 3. are equal.
OG17 OG18 OG19 OG20 OG2022	On the number line, point R has coordinate r and point T has coordinate t. Is $$t<0$$?(1) $$-1<{r}<0$$(2) The distance between R and T is equal to $${r}^{2}$$.
OG16 OG17 OG18 OG19 OG20 OG2022	S is a set of points in the plane. How many distinct triangles can be drawn that have three of the points in S as vertices?(1) The number of distinct points in S is 5.(2) No three of the points in S are collinear.
OG12 OG15 OG16 OG17 OG18 OG19 OG20 OG2022	Stores L and M each sell a certain product at a different regular price. If both stores discount their regular price of the product, is the discount price at Store M less than the discount price at Store L ?(1)At Store L the discount price is 10 percent less than the regular price; at Store M the discount price is 15 percent less than the regular price.(2)At Store L the discount price is $5 less than the regular store price; at Store M the discount price is $6 less than the regular price.
OG12 OG15 OG16 OG17 OG18 OG19 OG20 OG2022	If d denotes a decimal, is $$d \ge 0.5$$?(1)When d is rounded to the nearest tenth, the result is 0.5.(2)When d is rounded to the nearest integer, the result is 1.
OG18 OG19 OG20 OG2022	In the two-digit integers $$3■$$ and $$ 2▲$$, the symbols $$■$$ and $$▲$$ represent different digits, and the product ( $$3■$$) ($$2▲$$) is equal to 864. What digit does $$■$$ represent? (1) The sum of $$■$$ and $$▲$$ is 10. (2) The product of $$■$$ of $$▲$$ is 24.
OG16 OG17 OG18 OG19 OG20 OG2022	Two points, N and Q (not shown), lie to the right of point M on line ℓ. What is the ratio of the length of QN to the length of MQ?(1) Twice the length of MN is 3 times the length of MQ.(2) Point Q is between points M and N.
OG16 OG17 OG18 OG19 OG20 OG2022	Did the sum of the prices of three shirts exceed $60?(1) The price of the most expensive of the shirts exceeded $30.(2) The price of the least expensive of the shirts exceeded $20.
OG15 OG16 OG17 OG18 OG19 OG20 OG2022	What is the total number of coins that Bert and Claire have?(1) Bert has 50 percent more coins than Claire.(2) The total number of coins that Bert and Claire have is between 21 and 28.
OG16 OG17 OG18 OG19 OG20 OG2022	A telephone station has x processors, each of which can process a maximum of y calls at any particular time, where x and y are positive integers. If 500 calls are sent to the station at a particular time, can the station process all of the calls?(1) x = 600(2) 100 < y < 200