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291
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Last school year, each of the 200 students at a certain high school attended the school for the entire year. If there were 8 cultural performances at the school during the last school year, what was the average (arithmetic mean) number of students attending each cultural performance? (1) Last school year, each students attended at least one cultural performance.(2) Last school year, the average number of cultural performances attended per student was 4.
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292
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A clothing manufacturer makes jackets that are wool or cotton or a combination of wool and cotton. The manufacturer has 3,000 pounds of wool and 2,000 pounds of cotton on hand. Is this enough wool and cotton to make at least 1,000 jackets?(1) Each wool jacket requires 4 pounds of wool, and no cotton.(2) Each cotton jacket requires 6 pounds of cotton, and no wool.
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293
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If n is an integer, what is the greatest common divisor of 12 and n?
(1)The product of 12 and n is 432
(2)The greatest common divisor of 24 and n is 12
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294
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Each month, Jim receives a base salary plus a 10 percent commission on the price of each car he sells that month. If Jim sold 15 cars last month, what was the total amount of base salary and commissions that Jim received that month?(1) Last month, Jim's base salary was $3,000.(2) Last month, Jim sold 3 cars whose prices totaled $60,000 and 5 cars whose prices totaled $120,000.
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295
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If x is a positive integer greater than 1, what is the value of x ?(1) 2x is a common factor of 18 and 24.(2) x is a factor of 6.
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296
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By what percent was the price of a certain television set discounted for a sale?(1) The price of the television set before it was discounted for the sale was 25 percent greater than the discounted price.(2) The price of the television set was discounted by $60 for the sale.
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297
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Jack wants to use a circular rug on his rectangular office floor to cover two small circular stains, each less than $$\frac{π}{100} $$square feet in area and each more than 3 feet from the nearest wall. Can the rug be placed to cover both stains?(1) Jack's rug covers an area of 9π square feet.(2) The centers of the stains are less than 4 feet apart.
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298
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 In the multiplication table above, each letter represents an integer. What is the value of c?(1) c=f(2) $$h\neq0$$
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299
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If n is an integer, is $$({0.1})^{n}$$ greater than $$({10})^{n}$$?(1) n > −10(2) n < 10
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300
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For a basic monthly fee of F yen ($F), Naoko's first cell phone plan allowed him to use a maximum of 420 minutes on calls during the month. Then, for each of x additional minutes he used on calls, he was charged $M, making his total charge for the month $T, where T = F + xM. What is the value of F?(1) Naoko used 450 minutes on calls the first month an the total charge for the month was $13,755.(2) Naoko used 400 minutes on calls the second month and the total charge for the month was $13,125.
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301
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Is the sum of the prices of the 3 books that Shana bought less than $48?
(1)The price of the most expensive of the 3 books that Shana bought is less than $17.
(2)The price of the least expensive of the 3 books that Shana bought is exactly $3 less than the price of the second most expensive book.
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302
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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.
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303
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Is the product of two positive integers x and y divisible by the sum of x and y?(1) x=y(2) x=2
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304
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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.
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305
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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.
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306
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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.
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307
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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) $$x^{2}-y^{2}=z$$
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308
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 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
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309
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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.
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310
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If $$y \neq 2xz$$, what is the value of $$\frac{2xz+yz}{2xz-y}$$?(1) 2x + y = 3(2) z = 2
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