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Six cards numbered from 1 to 6 are placed in an empty bowl. First one card is drawn and then put back into the bowl; then a second card is drawn. If the cards are drawn at random and if the sum of the numbers on the cards is 8, what is the probability that one of the two cards drawn is numbered 5 ?
Each of the 30 boxes in a certain shipment weighs either 10 pounds or 20 pounds, and the average (arithmetic mean) weight of the boxes in the shipment is 18 pounds. If the average weight of the boxes in the shipment is to be reduced to 14 pounds by removing some of the 20-pound boxes, how many 20-pound boxes must be removed?
OG12 OG15 John and Mary were each paid x dollars in advance to do a certain job together. John worked on the job for 10 hours and Mary worked 2 hours less than John. If Mary gave John y dollars of her payment so that they would have received the same hourly wage, what was the dollar amount, in terms of y, that John was paid in advance?
OG16 OG17 OG18 OG19 OG20 OG2022 Pumping alone at their respective constant rates, one inlet pipe fills an empty tank to $$\frac{1}{2}$$ of capacity in 3 hours and a second inlet pipe fills the same empty tank to $$\frac{2}{3}$$ of capacity in 6 hours. How many hours will it take both pipes, pumping simultaneously at their respective constant rates, to fill the empty tank to capacity?
The total amount that a certain bank loaned in 1998 was $47 million. How many dollars did the bank loan in June of 1998 for car loans?(1) 18 percent of the amount that the bank loaned in June of 1998 was for car loans.(2) 8 percent of the total amount that the bank loaned in 1998 was loaned in June.
When a company refuses to allow other companies to produce patented technology, the consumer invariably loses. The company that holds the patent can charge exorbitant prices because there is no direct competition. When the patent expires, other companies are free to manufacture the technology and prices fall. Companies should therefore allow other manufacturers to license patented technology.The argument above presupposes which of the following?
PREP07 Test 2 Of the 200 members of a certain association, each member who speaks German also speaks English, and 70 of the members speak only Spanish. If no member speaks all three languages, how many of the members speak two of the three languages? (1) 60 of the members speak only English.(2) 20 of the members do not speak any of the three languages.
PREP07 Test 1 Last Friday each of the pets at a certain veterinary clinic was given either 1 treat or 2 treats. What was the total number of treats given to pets at the clinic last Friday?(1) The total number of pets at the clinic last Friday was 90.(2) 2/3 of the pets at the clinic last Friday were given 2 treats each.
Manhattan 8 cities, including Memphis, are finalists to be chosen to host a political convention. Exactly one city will be chosen to host the convention. What is the probability that Memphis is not chosen?(1) The probability that any one of the 8 cities does not win the competition is 7/8.(2) The probability that Memphis wins the competition is 1/8.
Manhattan Ivan operates an ice cream stand in the summertime, selling exclusively chocolate, vanilla and strawberry cones. On a recent afternoon, the ratio of chocolate to vanilla to strawberry cones sold by Ivan was 6 : 3 : 2. How many cones did Ivan sell on that afternoon? (1) Ivan sold 24 vanilla cones.(2) Ivan sold twice as many chocolate cones as vanilla cones.
OG19-数学分册 Andrew started saving at the beginning of the year and had saved $240 by the end of the year. He continued to save and by the end of 2 years had saved a total of $540. Which of the following is closest to the percent increase in the amount Andrew saved during the second year compared to the amount he saved during the first year?
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Sigmund Freud, considered by some the father of modern psychology, developed his theory of psychoanalysis by establishing a conception of the human subconscious and he applied that idea to the interpretation of dreams.

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The pre-tax price of a certain item was . If the tax added to the purchase was more than percent but less than percent of the pre-tax price, then the total amount paid, including tax, could have been

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A collection of DVDs includes comedies, dramas, and action movies. If DVDs are to be selected at random and without replacement, what is the probability that both DVDs will be action movies?

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Although computers can improve hand-eye coordination and spatial reasoning, computer games are a cause of poor literacy in children. After-school hours spent playing computer games are hours not spent reading. Therefore, children who spend most of their spare time playing these games have less experience reading than other children have.

The argument depends on which of the following assumptions?

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A certain company buys products and sells percent of them for dollars each and the rest for dollars each. Which of the following represents the total revenue on the sale of the products?

190603 The purchase price of each car is 80w and the selling price is 120w in a company. One person sells 2 cars, and the commission for each car is 1% of the selling price. The other person sells 3 cars, and the commission for each car is 2% of the selling price. What is the profit of the company after the commission is removed?
190321 The cost of each table is $50. The cost of each chair is $5. The profit of the table is 30% of the cost. The profit of the chair is 50% of the cost. A furniture store sold five times as many chairs as tables. The total profit on tables and chairs was $550. What's the total cost price of the tables and chairs sold?
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If O is the center of the circle above, what fraction of the circular region is encompassed by an angle of x degrees?

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Although their primary attempt for business expansion would take place in the Indian market, manufacturers of low-cost cell phones could not afford to sacrifice the price-sensitive segment of developed markets because if they gave that up, their footing to enter India was very shaky.

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