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Each participant in a certain study was assigned a sequence of 3 different letters from the set {A, B, C, D, E, F, G, H}. If no sequence was assigned to more than one participant and if 36 of the possible sequences were not assigned, what was the number of participants in the study? (Note, for example, that the sequence A, B, C is different from the sequence C, B, A.)
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OG18-数学分册
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Of the total amount that Jill spent on a shopping trip, excluding taxes, she spent 50 percent on clothing, 20 percent on food, and 30 percent on other items. If Jill paid a 4 percent tax on the clothing, no tax on the food, and an 8 percent tax on all other items, then the total tax that she paid was what percent of the total amount that she spent, excluding taxes?
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OG17
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In the xy-plane, the vertices of a triangle have coordinates (0, 0), (3, 3), and (7, 0). What is the perimeter of the triangle?
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A thoroughly blended biscuit mix includes only flour and baking powder. What is the ratio of the number of grams of baking powder to the number of grams of flour in the mix?(1)Exactly 9.9 grams of flour is contained in 10 grams of the mix.(2)Exactly 0.3 gram of baking powder is contained in 30 grams of the mix.
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OG12 OG15
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What is the value of $$\mid x\mid $$ ?(1)$$x = -\mid x \mid$$(2)$${x}^{2}$$ = 4
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Is r greater than 0.27?(1)r is greater than$$\frac1 4$$(2)r is equal to$$\frac3 {10}$$
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OG12 OG15
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What percent of a group of people are women with red hair?(1)Of the women in the group, 5 percent have red hair.(2)Of the men in the group, 10 percent have red hair.
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If 5x+ 3y = 17, what is the value x?(1)x is a positive integer.(2)y = 4x
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Is x greater than 1.8?(1)x>1.7(2)x>1.9
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OG12 OG15 OG16
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If i and j are integers, is i + j an even integer?(1)i < 10(2)i = j
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OG12 OG15
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If n + k = m, what is the value of k ?(1)n = 10(2)m + 10 = n
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What is the value of x?(1)2x + 1 = 0(2)$$({x}+{1})^{2}={x}^{2}$$
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OG12
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A point on the edge of a fan blade that is rotating in a plane is 10 centimeters from the center of the fan. What is the distance traveled, in centimeters, by this point in 15 seconds when the fan runs at the rate of 300 revolutions per minute?
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PREP08 Test 1
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In the year following an eight-cent increase in the federal tax on a pack of cigarettes, sales of cigarettes fell ten percent. In contrast, in the year prior to the tax increase, sales had fallen one percent. The volume of cigarette sales is therefore strongly related to the after-tax price of a pack of cigarettes.Which of the following, if true, would most strengthen the argument above?
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PREP08 Test 1
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Which of the following most logically completes the argument below?Twenty percent of the stores in Morganville's downtown shopping district will fail within five years because they will be competing directly with the SaveMart discount department store newly opened in East Morganville. The downtown shopping district has lost business at this rate before and has always completely rebounded. Confidence that it will rebound again from the losses it is now about to suffer is ill founded, however, because __________.
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PREP08 Test 1
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Environmentalist: Snowmobiles in the park north of Milville create unacceptable levels of air pollution and should be banned. Milville Business Spokesperson: Snowmobiling brings many out-of-towners to Milville in the winter months, to the great direct financial benefit of many local residents. In addition, the money the town collects in fees for the recreational use of the park indirectly benefits all Milville residents. So, it is basic economics for us to put up with the pollution.Which of the following, if true, could best be used by the environmentalist to counter the business spokesperson's argument?
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PREP08 Test 1
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Journalist: Every election year at this time the state government releases the financial disclosures that potential candidates must make in order to be eligible to run for office. Among those making the required financial disclosure this year is a prominent local businessman, Arnold Bergeron. There has often been talk in the past of Mr. Bergeron's running for governor, not least from Mr. Bergeron himself. This year it is likely he finally will, since those who have discounted the possibility of a Bergeron candidacy have always pointed to the necessity of making financial disclosure as the main obstacle to such a candidacy.In the journalist's argument, the two boldfaced portions play which of the following roles?
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PREP08 Test 1
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Though sucking zinc lozenges has been promoted as a treatment for the common cold, research has revealed no consistent effect. Recently, however, a zinc gel applied nasally has been shown to greatly reduce the duration of colds. Since the gel contains zinc in the same form and concentration as the lozenges, the greater effectiveness of the gel must be due to the fact that cold viruses tend to concentrate in the nose, not the mouth.Which of the following, if true, most seriously weakens the argument?
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PREP08 Test 2
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Comcorp Shipping Clerk: Last week, no shipments of building supplies were sent out on Friday. The five specially ordered shipments sent out last week were sent out on Thursday, and each of those specially ordered shipments consisted entirely of building supplies. Four shipments were sent to Truax Construction last week, none of which consisted of building supplies.If the shipping clerk's statements are true, which of the following must also be true?
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PREP08 Test 2
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Citizens of Parktown are worried by the increased frequency of serious crimes committed by local teenagers. In response, the city government has instituted a series of measures designed to keep teenagers at home in the late evening. Even if the measures succeed in keeping teenagers at home, however, they are unlikely to affect the problem that concerns citizens, since most crimes committed by local teenagers take place between 3 p.m. and 6 p.m.Which of the following, if true, most substantially weakens the argument?
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