OG12 OG15
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A restaurant meal cost $35.50 and there was no tax. If the tip was more than 10 percent but less than15 percent of the cost of the meal, then the total amount paid must have been between
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OG12 OG15
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Any decimal that has only a finite number of nonzero digits is a terminating decimal. For example, 24, 0.82, and 5.096 are three terminating decimals. If r and s are positive integers and the ratio $$\frac r s $$ is expressed as a decimal, is $$\frac r s$$ a terminating decimal?(1)$$90 < r < 100$$(2)$$s = 4$$
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OG12 OG15
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In a weight-lifting competition, the total weight of Joe's two lifts was 750 pounds. If twice the weight of his first lift was 300 pounds more than the weight of his second lift, what was the weight, in pounds, of his first lift?
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OG12 OG15 OG16 OG17 GWD PREP08 Test 2 OG18 OG19 OG20 OG2022
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Rock samples taken from the remains of an asteroid about twice the size of the 6-mile-wide asteroid that eradicated the dinosaurs has been dated to be 3.47 billion years old and thus is evidence of the earliest known asteroid impact on Earth.
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OG12 OG15 OG16
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In the figure above, what is the value of x + y ?(1)x = 70(2)△ABC and △ADC are both isosceles triangles.
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OG12
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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.
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OG12 OG15 OG16
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A club collected exactly $599 from its members. If each member contributed at least $12, what is the greatest number of members the club could have?
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OG12 OG15 OG16 OG17 OG18 OG19 OG20 OG2022
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If y is the smallest positive integer such that 3,150 multiplied by y is the square of an integer, then y must be
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OG12 OG15 OG16 OG17 OG18 OG19 OG20 OG2022
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What amount did Jean earn from the commission on her sales in the first half of 1988 ?(1)In 1988 Jean's commission was 5 percent of the total amount of her sales.(2)The amount of Jean's sales in the second half of 1988 averaged $10,000 per month more than in the first half.
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OG12 OG15
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The price per share of Stock X increased by 10 percent over the same time period that the price per share of Stock Y decreased by 10 percent. The reduced price per share of Stock Y was what percent of the original price per share of Stock X ?(1)The increased price per share of Stock X was equal to the original price per share of Stock Y.(2)The increase in the price per share of Stock X was $$\frac{10} {11}$$ the decrease in the price per share of Stock Y.
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OG12 OG15 OG16 OG17 OG18 OG19 OG20 OG2022
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If [x] is the greatest integer less than or equal to x, what is the value of [-1.6] +[3.4]+[2.7]?
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OG12 OG15 OG16
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if $$\frac{(4-x)}{(2+x)}= x$$, what is the value of $${x}^{2} + 3x - 4$$?
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OG12 OG15 OG16 OG17 OG18 OG19 OG20 OG2022
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In the figure above, if the area of triangular region D is 4, what is the length of a side of square region A ?(1)The area of square region B is 9.(2)The area of square region C is $$\frac{64}{9}$$
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OG12 OG15
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The trapezoid shown in the figure above represents a cross section of the rudder of a ship. If the distance from A to B is 13 feet, what is the area of the cross section of the rudder in square feet?
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OG12 OG15
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If Sara's age is exactly twice Bill's age, what is Sara's age?(1)Four years ago, Sara's age was exactly 3 times Bill's age.(2)Eight years from now, Sara's age will be exactly 1.5 times Bill's age.
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OG12 OG15 OG16 OG17
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A report consisting of 2,600 words is divided into 23 paragraphs. A 2-paragraph preface is then added to the report. Is the average (arithmetic mean) number of words per paragraph for all 25 paragraphs less than 120 ?(1)Each paragraph of the preface has more than 100 words.(2)Each paragraph of the preface has fewer than 150 words.
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OG12 OG15 OG16 OG17 OG18 OG19 OG20 OG2022
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In a certain sequence, the term $${x}_{n}$$, is given by the formula $${x}_{n}={2}{x}_{n-1}-\frac{1}{2}({x}_{n-2})$$ for all $${n}\geq{2}$$. If $${x}_{0}=3$$ and $${x}_{1}=2$$, what is the value of $${x}_{3}$$
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OG12 OG15
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In the figure above, V represents an observation point at one end of a pool. From V, an object that is actually located on the bottom of the pool at point R appears to be at point S. If VR = 10 feet, what is the distance RS, in feet, between the actual position and the perceived position of the object?
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OG12 OG15 OG16 OG17 OG18 OG19 OG20 OG2022
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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.
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OG12
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The figure above shows the number of meters in the lengths of the four sides of a jogging path. What is the total distance around the path?(1)One of the sides of the path is 120 meters long.(2)One of the sides of the path is twice as long as each of the two shortest sides.
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