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383
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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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384
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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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385
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A paint mixture was formed by mixing exactly 3 colors of paint. By volume, the mixture was x% blue paint, y% green paint, and z% red paint. If exactly 1 gallon of blue paint and 3 gallons of red paint were used, how many gallons of green paint were used?
1.x = y
2.z = 60
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386
|
 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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387
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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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388
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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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389
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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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390
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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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391
|
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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392
|
If a and b are constants, is the expression $$\frac{x+b}{\sqrt{x+a}}$$ defined for $$x = –2$$ ?
1.$$a = 5$$
2.$$b = 6$$
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393
|
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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394
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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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395
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A certain computer company produces two different monitors, P and Q. In 2010, what was the net profit from the sale of the two monitors?
(1) Of the company's expenses in 2010, rent and utilities totaled $500,000.
(2) In 2010, the company sold 50,000 units of monitor P at $300 per unit and 30,000 units of monitor Q at $650 per unit.
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396
|
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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397
|
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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398
|
 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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399
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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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400
|
 In the parallelogram shown, what is the value of x?(1)y = 2x(2)x + z = 120
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401
|
In a product test of a common cold remedy, x percent of the patients tested experienced side effects from the use of the drug and y percent experienced relief of cold symptoms. What percent of the patients tested experienced both side eddects and relief of cold symptoms?(1) Of the 1,000 patients tested, 15 percent experienced neither side effects nor relief of cold symptoms.(2) Of the patients tested, 30 percent experienced relief of cold symptoms without side effects.
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402
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Is x<5?(1) $$x^{2}$$>5 (2)$$ x^{2}+x<5$$
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