List S consists of the positive integers that are multiples of 9 and are less than 100. What is the median of the integers in S ?
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For positive integers a and b, the remainder when a is divided by b is equal to the remainder when b is divided by a. Which of the following could be a value of ab ? I. 24 II. 30III. 36
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If x – y = R and xy = S, then (x – 2)(y + 2) =
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If x = and y = , what is the value of the expression ?
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For what value of x between –4 and 4, inclusive, is the value of x2 – 10x + 16 the greatest?
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The toll T, in dollars, for a truck using a certain bridge is given by the formula T = 1.50 + 0.50(x – 2), where x is the number of axles on the truck. What is the toll for an 18-wheel truck that has 2 wheels on its front axle and 4 wheels on each of its other axles?
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A grocer has 400 pounds of coffee in stock, 20 percent of which is decaffeinated. If the grocer buys another 100 pounds of coffee of which 60 percent is decaffeinated, what percent, by weight, of the grocer’s stock of coffee is decaffeinated?
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Point X lies on side BC of rectangle ABCD, which has length 12 and width 8. What is the area of triangular region AXD ?
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Which of the following represent positive numbers?I. –3 – (–5) II. (–3)(–5) III. –5 – (–3)
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A company sells radios for $15.00 each. It costs the company $14.00 per radio to produce 1,000 radios and $13.50 per radio to produce 2,000 radios. How much greater will the company’s gross profit be from the production and sale of 2,000 radios than from the production and sale of 1,000 radios?
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【OG20-P562-610题】 Arts advocate: Few universities require that students who are specializing in science and technology take many art courses.However, real progress in science and technology requires an element of creativity,which the arts foster. Thus,to help science and technology students succeed in their careers, universities should increase the number of art courses required for them.Which of the following would,if true, most strengthen the argument above?
Financial uncertainties from the accident at Three Mile Island may prove even more deterring to the nuclear industry than political opposition is.
A certain truck traveling at 55 miles per hour gets 4.5 miles per gallon of diesel fuel consumed Traveling at 60 miles per hour, the truck gets only 3.5 miles per gallon On a 500-mile trip, if the truck used a total of 120 gallons of diesel fuel and traveled part of the trip at 55 miles per hour and the rest at 60 miles per hour, how many miles didit travel at 55 miles per hour?
An archaeological excavation at what might have been a workshop where statues were reproduced yielded 1,532 fragments of human figures, including 7 intact statues.
【OG20-P161-100题】 On a scale drawing, a rectangle 1 inch by 113 inches represents the floor of a room and the indicated scale is 1 inch equals 15 feet. How many square tiles 6 inches on a side will be needed to cover this floor?(1 foot =12 inches)
It is theoretically possible that bacteria developed on Mars early in its history and that some were carried to Earth by a meteorite. However, strains of bacteria from different planets would probably have substantial differences in protein structure that would persist over time, and no two bacterial strains on Earth are different enough to have arisen on different planets. So, even if bacteria did arrive on Earth from Mars, they must have died out.The argument is most vulnerable to which of the following criticisms?
Many entomologists say that campaigns to eradicate the fire ant in the United States have failed because the chemicals that were used were effective only in wiping out the ant’s natural enemies, which made it easier for them to spread.
【OG20-P290-424题】The only articles of clothing in a certain closet are shirts, dresses, and jackets. The ratio of the number of shirts to the number of dresses to the number of jackets in the closet is 9:4:5, respectively. If there are more than 7 dresses in the closet, what is the total number of articles of clothing in the closet?(1) The total number of shirts and jackets in the closet is less than 30.(2) The total number of shirts and dresses in the closet is 26.
Sasha: It must be healthy to follow a diet high in animal proteins and fats. Human beings undoubtedly evolved to thrive on such a diet, since our prehistoric ancestors ate large amounts of meat. Jamal: But our ancestors also exerted themselves intensely in order to obtain this food, whereas most human beings today are much less physically active. Jamal responds to Sasha by doing which of the following?
【OG20-P289-410题】If r and s are positive integers, can the fraction r/s be expressed as a decimal with only a finite number of nonzero digits?(1) s is a factor of 100.(2) r is a factor of 100.