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OG18 OG19 OG20 OG2022	If r and t are three-digit positive integers, is r greater than t?(1) The tens digit of r is greater than each of the three digits of t.(2) The tens digit of r is less than either of the other two digits of r.
OG18 OG19 OG20 OG2022	Is the product of two positive integers x and y divisible by the sum of x and y?(1) x=y(2) x=2
OG16 OG17 OG18 OG19 OG20 OG2022	A company makes and sells two products, P and Q. The costs per unit of making and selling P and Q are $8.00 and $9.50, respectively, and the selling prices per unit of P and Q are $10.00 and $13.00, respectively. In one month the company sold a total of 834 units of these products. Was the total profit on these items more than $2,000.00?(1) During the month, more units of P than units of Q were sold.(2) During the month, at least 100 units of Q were sold.
OG17 OG18 OG19 OG20 OG2022	Jill has applied for a job with each of two different companies. What is the probability that she will get job offers from both companies?(1) The probability that she will get a job offer from neither company is 0.3.(2) The probability that she will get a job offer from exactly one of the two companies is 0.5.
OG16 OG17 OG18 OG19 OG20 OG2022	A conveyor belt moves bottles at a constant speed of 120 centimeters per second. If the conveyor belt moves a bottle from a loading dock to an unloading dock, is the distance that the conveyor belt moves the bottle less than 90 meters? (1 meter = 100 centimeters)(1) It takes the conveyor belt less than 1.2 minutes to move the bottle from the loading dock to the unloading dock.(2) It takes the conveyor belt more than 1.1 minutes to move the bottle from the loading dock to the unloading dock.
OG18 OG19 OG20 OG2022	If x, y, and z are positive numbers, what is the value of the average (arithmetic mean) of x and z?(1) x-y=y-z(2) $$x^{2}-y^{2}=z$$
OG16 OG17 OG18 OG19 OG20 OG2022	The rectangular rug shown in the figure above has an accent border. What is the area of the portion of the rug that excludes the border?(1) The perimeter of the rug is 44 feet.(2) The width of the border on all sides is 1 foot
OG15 OG16 OG17 OG18 OG19	Terry holds 12 cards, each of which is red, white, green, or blue. if a person is to select a card randomly from the cards Terry is holding, is the probability less than 1/2 that the card selected will be either red or white?(1) The probability that the person will select a blue card is 1/3.(2) The probability that the person will select a red card is 1/6.
OG17 OG18 OG19 OG20 OG2022	If $$y \neq 2xz$$, what is the value of $$\frac{2xz+yz}{2xz-y}$$?(1) 2x + y = 3(2) z = 2
OG16 OG17 OG18 OG19 OG20 OG2022	In the parallelogram shown, what is the value of x?(1)y = 2x(2)x + z = 120
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.
OG18 OG19 OG20 OG2022	Is x<5?(1) $$x^{2}$$>5 (2)$$ x^{2}+x<5$$
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.
OG18 OG19 OG20 OG2022	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.
OG19 OG20 OG2022	if xy$$\neq$$0,is $$x^{3}+y^{3}>0$$? (1)x+y>0 (2)xy>0
OG18 OG19 OG20 OG2022	Max purchased a guitar for a total of $624, which consisted of the price of the guitar and the sales tax. Was the sale tax rate greater than 3 percent?(1) The price of the guitar that Max purchased was less than $602.(2) The sales tax for the guitar that Max purchased was less than $30.
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.
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.