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Fact: Asthma, a bronchial condition, is much less common ailment than hay fever, an allergic inflammation of the nasal passages.Fact: Over 95 percent of people who have asthma also suffer from hay fever.

If the information given as facts above is true, which of the following must also be true?

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During the past year, Pro-Tect Insurance Company's total payouts on car-theft claims were larger than the company can afford to sustain. Pro-Tect cannot reduce the number of car-theft policies it carries, so cannot protect itself against continued large payouts that way. Therefore, Pro-Tect has decided to offer a discount to holders of car-theft policies whose cars have antitheft devices. Many policyholders will respond to the discount by installing antitheft devices, since the amount of the discount will within two years typically more than cover the cost of installation. Thus, because cars with antitheft devices are rarely stolen, Pro-Tect's plan is likely to reduce its annual payouts.

In the argument above, the two portions in boldface play which of the following roles?

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Unlike mainstream American businesses, more than half of which fail, the failure rate for businesses in the Amish community hovers around 5 percent.

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题目： Exactly one year ago, Ray put his money into a savings account that yields 0.8% simple interest. If he has earned a profit of $28, how much did he originally deposit?

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题目： Ivan operates an ice cream stand in the summertime, selling exclusively chocolate, vanilla and strawberry cones. On a recent afternoon, the ratio of chocolate to vanilla to strawberry cones sold by Ivan was 6 : 3 : 2. How many cones did Ivan sell on that afternoon? (1) Ivan sold 24 vanilla cones.(2) Ivan sold twice as many chocolate cones as vanilla cones.

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题目： Is pq > 0?(1) p < 0(2) q < 0

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题目： What is the largest angle in triangle ABC?(1) The sum of angles A and B is 70 degrees.(2) Angle C is 110 degrees.

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题目： Is a + b > c + d ?(1) a > c(2) d < b

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题目： The sum of n consecutive positive integers is 45. What is the value of n?(1) n is even(2) n < 9

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题目： The average (arithmetic mean) height of five of Peter's friends is 70 inches. What will be the new average height if Peter is included in the group? (1) Peter's height is 1 foot greater than the average height of his five friends (1 foot = 12 inches). (2) Peter is 5 inches taller than the tallest of his five friends.

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题目： A tire store offered customers a 25 percent rebate on all tires purchased during a certain weekend. Assuming all customers who purchased tires received rebates, what is the total amount that the tire manufacturer paid out in rebates? (1) On Saturday, the store had $900 in tire sales, and total tire sales doubled on Sunday. (2) For the entire weekend, the store had a total of $2,700 in tire sales.

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题目： What is 20% of 3x? (1) 40% of 6x equals 12(2) 20x = 15x + 25

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题目： If 3 years ago Jennifer was 22 years old, how old is Carmen now? (1) 10 years ago, Carmen was twice as old as Jennifer. (2) 10 years from today, Carmen will be 15 years older than Jennifer.

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题目： What is 11% of x? (1) $$\frac{3}{8}$$ of x is 24(2) 5% of x is 3.2

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题目： If k and y are integers, and 10k + y is odd, which of the following must be true?