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A set of questions and answers related to a final exam in quantitative reasoning. It covers topics such as logic, arguments, units, conversion factors, and basic metric units. Explanations and examples to illustrate the concepts and provides solutions to practice problems. It is a valuable resource for students preparing for a quantitative reasoning exam.
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What is logic? the study of the methods and principles of reasoning What is an argument? a reasoned or thoughtful process What is the basic structure of an argument? consists of premises that are used to support a conclusion What is a fallacy? a deceptive argument; argument in which the conclusions are not well supported What are units? words that describe what is being measured or counted What is the meaning of the word "per"? it means "for every" and it says to divide
What is the meaning of the word "of"? multiplication What is the meaning of "square"? raising to the second power What is the meaning of "cube"? raising to the third power What is the meaning of a hyphen in units? multiplication How do you find conversion factors involving squares? square both sides of the conversion factor How do you find conversion factors involving cubes? raise both sides of the conversion factor to the third power Why are there 9 square feet in 1 square yard? A square floor with an area of 1 square yard fits exactly 9 square tiles whose area is 1 square foot.
Your utility company charges 11 cents per kilowatt-hour of electricity. How much will you save in a year if you replace the bulb with an LED bulb that provides the same amount of light using only 15 watts of power? Answer = $54. To find the daily cost of the 15-watt light bulb, first multiply 15 by 1/1000 and 10 to get 0.0165. Then multiply both 0.165 and 0.0165 by 365 to get the yearly total for each light bulb. Finally, subtract the two yearly costs to get the final answer. Suppose the current cost of gasoline is $3.44 per gallon. Find the current price index number, using the 1975 price of 56.7 cents as the reference value. Answer = 606. To find divide $3.44 by $0.576 then multiply by 100