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ACTIVITY 3 Polya's problem solving I. Solve the following logic problems: 1. Each of four neighbors Sean, Maria, Sarah and Brian, has a different occupation (editor banker, chef, or dentist) from the following clues, determine the occupation of each neighbor. Clues: a. Maria gets home from work after the banker but before the dentist b. Sarah, who is the last to get home work, is not the editor. c. The dentist and Sarah leave for work at the same time. d. The banker lives next door to Brian. 2. Each of four siblings (Anita, Tony, Maria, and Jose) is given $5000 to invest in the stock market. Each chooses a different stock. One chooses a utility stock, another an automotive stock, another a technology stock, and the other an oil stock. From the following clues, determine which sibling bought which stock. a. Anita and the owner of the utility stock purchased their shares through an online brokerage, whereas Tony and the owner of the automotive stock did not. b. The gain in value of Maria's stock is twice the gain in value of the automotive stock. c. The technology stock is traded on NASDAQ, whereas the stock that Tony bought is traded on the New York Stock Exchange. 3. The Changs, Steinbergs, Ontkeans, and Gonzaleses were winners in the All-State Cooking Contest. There was a winner in each of four categories: soup, entre, salad and dessert. From the following clues, determine in which category each family was the winner. a. The soups were judged before the Changs' winning entry. b. This year's contest was the first for the Ontkeans and for the winner in the dessert category. The Steinbergs and the winner of the soup category entered last year's contest. c. The winning entre took 2 hours to cook, whereas the Ontkeans' entre required no cooking at all