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The symbol $$\Delta$$ denotes one of the four arithmetic operations: addition, subtraction, multiplication, or division. If 6 $$\Delta 3 \le 3$$, which of the following must be true? I. 2 $$\Delta$$ 2=0 II. 2 $$\Delta$$ 2=1 III. 4 $$\Delta$$ 2=4
OG18 OG19 OG20 OG2022 Is the product of two positive integers x and y divisible by the sum of x and y?(1) x=y(2) x=2
OG18 OG19 OG20 OG2022 Max purchased a guitar for a total of $624, which consisted of the price of the guitar and the sales tax. Was the sale tax rate greater than 3 percent?(1) The price of the guitar that Max purchased was less than $602.(2) The sales tax for the guitar that Max purchased was less than $30.
OG18 OG19 OG20 OG2022 The primary purpose of the passage is to
1/x<1/x³? (1)x>0 (2)x<1
OG18-语文分册 Which of the following most logically completes the passage?It is generally believed that people receiving frequent medical checkups are likely to need hospitalization less frequently than they would otherwise; after all, many things can be done following a checkup to prevent problems that, if ignored, might become acute and then require hospitalization. But for people with chronic illnesses, frequent medical checkups are likely to lead to more frequent hospitalization since __________.
OG18-语文分册 Most scholars agree that King Alfred (A.D. 849–899) personally translated a number of Latin texts into Old English. One historian contends that Alfred also personally penned his own law code, arguing that the numerous differences between the language of the law code and Alfred's translations of Latin texts are outweighed by the even more numerous similarities. Linguistic similarities, however, are what one expects in texts from the same language, the same time, and the same region. Apart from Alfred's surviving translations and law code, there are only two other extant works from the same dialect and milieu, so it is risky to assume here that linguistic similarities point to common authorship.The passage above proceeds by
OG18-语文分册 While the total enrollment of public elementary and secondary schools in Sondland is one percent higher this academic year than last academic year, the number of teachers there increased by three percent. Thus, the Sondland Education Commission's prediction of a teacher shortage as early as next academic year is unfounded. Which of the following, if true, most seriously weakens the claim that the prediction of a teacher shortage as early as next academic year is unfounded?
OG18-语文分册 A certain species of desert lizard digs tunnels in which to lay its eggs. The eggs must incubate inside the tunnel for several weeks before hatching, and they fail to hatch if they are disturbed at any time during this incubation period. Yet these lizards guard their tunnels for only a few days after laying their eggs.Which of the following, if true, most helps explain why there is no need for lizards to guard their tunnels for more than a few days?
OG18-语文分册 Meat from chickens contaminated with salmonella bacteria can cause serious food poisoning. Capsaicin, the chemical that gives chili peppers their hot flavor, has antibacterial properties. Chickens do not have taste receptors for capsaicin and will readily eat feed laced with capsaicin. When chickens were fed such feed and then exposed to salmonella bacteria, relatively few of them became contaminated with salmonella.In deciding whether the feed would be useful in raising salmonella-free chicken for retail sale, it would be most helpful to determine which of the following?
OG18-语文分册 Pro-Tect Insurance Company has recently been paying out more on car-theft claims than it expected. Cars with special antitheft devices or alarm systems are much less likely to be stolen than are other cars. Consequently Pro-Tect, as part of an effort to reduce its annual payouts, will offer a discount to holders of car-theft policies if their cars have antitheft devices or alarm systems.Which of the following, if true, provides the strongest indication that the plan is likely to achieve its goal?
OG18-语文分册 Which of the following most logically completes the argument below?When mercury-vapor streetlights are used in areas inhabited by insect-eating bats, the bats feed almost exclusively around the lights, because the lights attract flying insects. In Greenville, the mercury-vapor streetlights are about to be replaced with energy-saving sodium streetlights, which do not attract insects. This change is likely to result in a drop in the population of insect-eating bats in Greenville, since __________.
OG18-语文分册 On May first, in order to reduce the number of overdue books, a children's library instituted a policy of forgiving fines and giving bookmarks to children returning all of their overdue books. On July first there were twice as many overdue books as there had been on May first, although a record number of books had been returned during the interim.Which of the following, if true, most helps to explain the apparent inconsistency in the results of the library's policy?
OG18-语文分册 OG19-语文分册 OG20-语文分册 The rate at which a road wears depends on various factors, including climate, amount of traffic, and the size and weight of the vehicles using it. The only land transportation to Rittland's seaport is via a divided highway, one side carrying traffic to the seaport and one carrying traffic away from it. The side leading to the seaport has worn faster, even though each side has carried virtually the same amount of traffic, consisting mainly of large trucks.Which of the following, if true, most helps to explain the difference in the rate of wear?
OG18-语文分册 Though being tiny, blind, and translucent, a recently discovered species of catfish lessens their vulnerability with thickened bones and armor plates on their sides.
OG18-语文分册 OG19-语文分册 OG20-语文分册 Of all the record companies involved in early jazz, the three most prominent were Columbia, Victor, and OKeh.
OG18-语文分册 Many kitchens today are equipped with high-speed electrical gadgets, such as blenders and food processors, which are able to inflict as serious injuries as those caused by an industrial wood-planing machine.
OG18-语文分册 Inspired by the Helsinki Accords and outraged by the harsh sentences meted out to a group of Czech rock musicians called the Plastic People of the Universe, Charter 77 was established by dissident writers, philosophers, and other professionals to be a human rights group.
OG18-语文分册 OG19-语文分册 OG20-语文分册 Because the collagen fibers in skin line up in the direction of tension, surgical cuts made along these so-called Langer's lines sever fewer fibers and is less likely to leave an unsightly scar.
OG18-语文分册 OG19-语文分册 OG20-语文分册 Using digital enhancements of skull fragments from five prehistoric hominids dating to more than 350,000 years ago, anthropologists argue that these human ancestors probably had hearing similar to that of people today.
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