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OG12 OG15 OG16	Is n an integer?(1)$${n}^{2}$$ is an integer.(2)$$\sqrt{n}$$ is an integer.
OG12 OG15 OG16 OG17 OG18 OG19 OG20 OG2022	For any positive integer n, the sum of the first n positive integers equals $$\frac{n(n+1)} 2$$. What is the sum of all the even integers between 99 and 301?
OG12 OG15	A committee is composed of w women and m men. If 3 women and 2 men are added to the committee, and if one person is selected at random from the enlarged committee, then the probability that a woman is selected can be represented by
OG12 OG15 OG16	If x, y, and z are positive integers, is x - y odd?(1)$$x = z^2$$(2)$$y = (z-1)^2$$
OG12 OG15	Marcia's bucket can hold a maximum of how many liters of water?(1)The bucket currently contains 9 liters of water.(2)If 3 liters of water are added to the bucket when it is half full of water, the amount of water in thebucket will increase by $$\frac1 3$$
OG12 OG15 OG16 OG17 OG18 OG19 OG20 OG2022	How many prime numbers between 1 and 100 are factors of 7,150 ?
OG12 OG15	The figure above shows a circular flower bed, with its center at O, surrounded by a circular path that is 3 feet wide. What is the area of the path, in square feet?
OG12 OG15	The positive integer n is divisible by 25. If $$\sqrt{n}$$ is greater than 25, which of the following could be the value of $$\frac{n}{25}$$
OG15 OG16 OG17 OG18 OG19 OG20 OG2022	Last year the price per share of Stock X increased by k percent and the earnings per share of Stock X increased by m percent, where k is greater than m. By what percent did the ratio of price per share to earnings per share increase, in terms of k and m?
OG15 OG16 OG17 OG18 OG19 OG20 OG2022	Of the 300 subjects who participated in an experiment using virtual-reality therapy to reduce their fear of heights, 40 percent experienced sweaty palms, 30 percent experienced vomiting, and 75 percent experienced dizziness. If all of the subjects experienced at least one of these effects and 35 percent of the subjects experienced exactly two of these effects, how many of the subjects experienced only one of these effects?
OG12 OG15	A fruit-salad mixture consists of apples, peaches, and grapes in the ratio 6:5:2, respectively, by weight. If 39 pounds of the mixture is prepared, the mixture includes how many more pounds of apples than grapes?
OG12 OG15 OG16 OG17 OG18 OG19 OG20 OG2022	if $${m}^{-1}=-\frac{1}{3}$$,then $${m}^{-2}$$ is equal to
OG12 OG15 OG16	If m > 0 and x is m percent of y, then, in terms of m, y is what percent of x ?
OG15 OG16 OG17 OG18 OG19 OG20 OG2022	A photography dealer ordered 60 Model X cameras to be sold for $250 each, which represents a 20 percent markup over the dealer`s initial cost for each camera. Of the cameras ordered, 6 were never sold and were returned to the manufacturer for a refund of 50 percent of the dealer's initial cost. What was the dealer's approximate profit or loss as a percent of the dealer`s initial cost for the 60 cameras?
OG15 OG16 OG17 OG18 OG19 OG20 OG2022	Seven pieces of rope have an average (arithmetic mean) length of 68 centimeters and a median length of 84 centimeters. If the length of the longest piece of rope is 14 centimeters more than 4 times the length of the shortest piece of rope, what is the maximum possible length, in centimeters, of the longest piece of rope?
OG12 OG15	Lois has x dollars more than Jim has, and together they have a total of y dollars. Which of the following represents the number of dollars that Jim has?
OG12 OG15 OG16	During a certain season, a team won 80 percent of its first 100 games and 50 percent of its remaining games. If the team won 70 percent of its games for the entire season, what was the total number of games that the team played?
OG12 OG15 OG16	Of 30 applicants for a job, 14 had at least 4 years' experience, 18 had degrees, and 3 had less than 4 years' experience and did not have a degree. How many of the applicants had at least 4 years' experience and a degree?
OG12 OG15	if 1+$$\frac{1}{x}=2-\frac{2}{x}$$,then x=
OG12 OG15 OG16	Last year, for every 100 million vehicles that traveled on a certain highway, 96 vehicles were involved in accidents. If 3 billion vehicles traveled on the highway last year, how many of those vehicles were involved in accidents? (1 billion = 1,000,000,000)