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181215 Oil were poured into 96 cups. There were 8 ounces in each cup. How many cups are needed if the amount of oil in each cup is reduced by $$\frac{1}{3}$$?
If the product of the integers w, x, y, and z is 770, and if 1
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In a courtyard, one bell rings every \tfrac{<font color='#FE8080'>1</font>}{4} hour and another bell rings every \tfrac{<font color='#FE8080'>1</font>}{5} hour. Both bells ring together at exactly the beginning of each hour. Which of the following gives all of the intervals that occur between any two rings of the bells, in minutes?

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A bookstore that sells print books and ebooks reported that revenue from print book sales in 2016 was up 8 percent from 2015 and revenue from ebook sales in 2016 was down 7 percent from 2015. If total revenues from print book sales and ebook sales in 2016 were up 2 percent from 2015, what is the ratio of revenues from print book sales to ebook sales in 2015?

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A car dealership offers two payment plans for an old model on discount clearance. The first plan is a down payment of 10% of the car`s original price and 5 equal monthly payments of 5% of the original price. The second plan is a down payment of 5% of the original price and 10 equal monthly payments of 4% of the original price. The cost of the first plan is what percent cheaper than the cost of the second?

PREP07 Test 1 If the speed of x meters per second is equivalent to the speed of y kilometers per hour,what is y in terms of x ?(1 kilometer = 1,000 meters)
Over a period of 5 academic years from Fall 1999 through Spring 2004, the number of faculty at a certain college increased despite a decrease in student enrollment from 5,500 students in Fall 1999.In the given expressions, F and S represent the percent change in the number of faculty and students, respectively, over the 5 academic years,and R represents the number of students per faculty member in Fall 1999. The percent change in a quantity X is calculated using the formula$${\frac{X_{new}-X_o{ld}}{{x}_{o}{ld}}}(100)$$Select the expression that represents the number of faculty in Fall 1999, and select the expression that represents the number of students per faculty member in Spring 2004. Make only two selections, one in each column.
PREP07 Test 2 240, 120, 60, 30, . . . In the sequence above, each term after the first is ½ of the preceding term. What is the least term of the sequence that is greater than 1 ?
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If k is the average (arithmetic mean) of the first 8 positive multiples of 6 greater than 6, and if p is the median of the first 8 positive multiples of 6 greater than 6, what is the value of \tfrac{k}{p} ?

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If non-negative integers and are not both odd, which of the following must be odd?

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How many different numbers between 12 and 12,000 have both the digit ‘3’ in the unit place and the digit ‘1’ in the tens place?

PREP07 Test 1 OG19 OG20 OG2022 If n is a positive integer and the product of all the integers from 1 to n, inclusive, is a multiple of 990, what is the least possible value of n ?
181215 Square tiles of size 9*9 inch2 are applied to rectangular floors of size 18*12 feet2. How many tiles are needed to cover the rectangular floor? (1 feet = 12 inch)
Magoosh An office has 6 employees; there are 5 female employees and 1 male employee. In how many ways can a 3-person committee be created if the committee must include the male employee?
191222 There is a rectangular tile made up of 60 small square tiles, and the area of the small square tile is 1 square foot. What is the minimum perimeter of this rectangular tile?
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The ratio of the regular price of a sweatshirt to the regular price of a sports cap is . If the sports cap is discounted , the ratio of the regular price of a sweatshirt to the discounted price of the sports cap would become . What is the regular price of the sweatshirt?

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How quickly heat transfers through an insulating layer depends on that insulator's thermal resistance. If two insulators are used together, the inverse of the combined thermal resistance is the sum of the reciprocals of each layer's thermal resistance. If the thermal resistances of two insulators are  and , what is their combined resistance?

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There are four cards in a box, each with a different number written on it -- either 1, 3, 4 or 5. What is the probability that the difference between the numbers on two randomly selected cards is not greater than 3?

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On average, each member of Team B earned as much as each member of Team A last year. If Team B has as many members as Team A, what fraction of the total earnings did Team A earn?

What is the combined area, in square inches, of the front and back of a rectangular sheet of paper measuring $$8\frac{1}{2}$$ inches by 11 inches?
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