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Quiz Week 2 The average of three number is 24. If two of the numbers are 21 and 23, what is the third number? A) 20 B) 24 C) 26 D) 28 E) 30 If a certain fundraising project has raised $12,000, which is 20 percent of its goal, how much money will have been raised when 50 percent of the goal has been reached? A) $60,000 B) $30,000 C) $18,000 D) $15,000 E) $4,800 A swimming pool is filled by either of two pipes. Pipe A supplies water at the rate of 200 gallons per hour and takes eight hours to fill the pool. If Pipe B can fill the pool in five hours, what is the rate (in gallons per hour) at which Pipe B supplies water? A) 125 B) 320 C) 360 D) 480 E) 575 Doreen can wash her car in 15 minutes, while her younger brother Dave takes twice as long to do the same job. If they work together, how many minutes will the job take them? A) 5 B) 7 1/2 C) 10 D) 22 1/2 E) 30 After a 20-percent decrease in price, the cost of an item is D dollars. What was the price of the item before the decrease? A) 0.75D B) 0.80D C) 1.20D D) 1.25D E) 1.50D The average of 8 numbers is 6; the average of 6 other numbers is 8. What is the average of all 14 numbers? A) 6 B) 6 6/7 C) 7 D) 7 2/7 E) 8 1/7 In the figure above, PQRS is a square and PTS is an equilateral triangle. How many degrees are there in angle TRS? A) 60 B) 75 C) 80 D) 90 E) It cannot be determined from the information given. In the figure above, AD = DC, ABC and ADC are right angles. What is AD + DC? A) 18 2 B) 18 C) 10 2 D) 10 E) 6 2 In the figure above, O is the center of the circle with radius 1. What is the area of the shaded region? A) 3 1 4 2 3 B) 1 4 2 1 C) 4 2 D) 1 4 2 E) π - 1