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PREP07 Test 2 A recent lunch meeting at a certain club was attended by members and guests. Each member paid $4 for the lunch, and each guest paid $8 for the lunch. How many of the people attending the meeting were members? (1) A total of 20 people attended the meeting. (2) A total of $92 was paid for the lunch.
190207 All the students in one class took at least one course. There were 18, 18 and 20 students taking subjects A, B, and C, respectively. There were 9 people who took A and B courses simultaneously and 9 people took B and C courses. 4 students took three courses at the same time. How many people were there in this class?
Anne traveled from City A to City B in 4 hours, and her speed was between 25 miles per hour and 45 miles per hour. John traveled from City A to City B along the same route in 2 hours, and his speed was between 45 miles per hour and 60 miles per hour. Which of the following could be the distance, in miles, from City A to City B?
OG17 OG18 OG19 OG20 OG2022 A clothing manufacturer makes jackets that are wool or cotton or a combination of wool and cotton. The manufacturer has 3,000 pounds of wool and 2,000 pounds of cotton on hand. Is this enough wool and cotton to make at least 1,000 jackets?(1) Each wool jacket requires 4 pounds of wool, and no cotton.(2) Each cotton jacket requires 6 pounds of cotton, and no wool.
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For some directors, a successful film is marked not so much by box office revenues but instead by critical acclaim garnered through selections at prestigious film festivals.
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A bar over a sequence of digits in a decimal indicates that the sequence repeats indefinitely. What is the value of 0.00 16 ¯ divided by 0. 04 ¯ ?
OG19-数学分册 A square wooden plaque has a square brass inlay in the center, leaving a wooden strip of uniform width around the brass square. If the ratio of the brass area to the wooden area is 25 to 39, which of the following could be the width, in inches, of the wooden strip? I. 1 II. 3 Ill. 4
OG20 OG2022 A rectangular solid has length, width, and height of L cm, W cm, and H cm, respectively. If these dimensions are increased by x%, y%, and z%, respectively, what is the percentage increase in the total surface area of the solid? 1.L, W, and H are in the ratios of 5:3:4. 2.x = 5, y = 10, z = 20
PREP07 Test 1 A certain one-day seminar consisted of a morning session and an afternoon session. If each of the 128 people attending the seminar attended at least one of the two sessions, how many of the people attended the morning session only?(1) 3/4 of the people attended both sessions.(2) 7/8 of the people attended the afternoon session.
PREP07 Test 1 Jack and Mark both received hourly wage increases of 6 percent. After the wage increases, Jack's hourly wage was how many dollars per hour more than Mark's? (1) Before the wage increases, Jack's hourly wage was $5.00 per hour more than Mark's.(2) Before the wage increases, the ratio of Jack's hourly wage to Mark's hourly wage was 4 to 3.
OG19-数学分册 A souvenir vendor purchased 1,000 shirts for a special event at a price of $5 each. The vendor sold 600 of the shirts on the day of the event for $12 each and 300 of the shirts in the week following the event for $4 each. The vendor was unable to sell the remaining shirts. What was the vendor's gross profit on the sale of these shirts?
OG19-数学分册 How many members of a certain legislature voted against the measure to raise their salaries? (1) $$\frac{1}{4}$$of the members of the legislature did not vote on the measure. (2) If 5 additional members of the legislature had voted against the measure, then the fraction of members of the legislature voting against the measure would have been $$\frac{1}{3}$$.
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If money is invested at r percent interest, compounded annually, the amount of the investment will double in approximately 70 r years. If Chris invests $1,000 in a bond that pays 4 percent interest, compounded annually, what will be the approximate total amount of the investment 35 years later?
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At a large company, the probabilities of success of three distinct new product launches are independently 1 4 , 1 2 , and 5 8 , respectively. What is the probability that exactly two of the launches succeed?
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Ron travels to work in his car at an average of 30 miles per hour and ends up being 2 minutes late. If he had driven 33\tfrac{1}{3}} \% faster, he would have reached his destination 4 minutes early. How far does he travel to his office?
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A square wooden plaque has a square brass inlay in the center, leaving a wooden strip of uniform width around the brass square. If the ratio of the brass area to the wooden area is 25 to 39, which of the following could be the width, in inches, of the wooden strip?

I. 1

II. 3

III. 4
OG12 OG15 OG16 OG17 On a company-sponsored cruise, $$\frac2 3$$ of the passengers were company employees and the remaining passengers were their guests. If $$\frac3 4$$ of the company-employee passengers were managers, what was the number of company-employee passengers who were NOT managers?(1)There were 690 passengers on the cruise.(2)There were 230 passengers who were guests of the company employees.
PREP07 Test 2 The 15 homes in a new development are each to be sold for one of three different prices so that the developer receives an average (arithmetic mean) of $200,000 per home. If 4 of the homes are to be sold for $170,000 each and 5 are to be sold for $200,000 each, what will be the selling price of each of the remaining 6 homes?
PREP07 Test 2 During a car trip, Maria stopped to rest after she traveled 1/2 of the total distance to her destination. She stopped again after she traveled $$\frac{1}{4}$$ of the distance remaining between her first stop and her destination, and then she drove the remaining 120 miles to her destination. What was the total distance, in miles, from Maria's starting point to her destination?
PREP07 Test 1 At least 100 students at a certain high school study Japanese. If 4 percent of the students at the school who study French also study Japanese, do more students at the school study French than Japanese?(1) 16 students at the school study both French and Japanese.(2) 10 percent of the students at the school who study Japanese also study French.