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Solve the following logic puzzles. Explain how you utilize every clue to solve the following puzzles. 1. Brianna, Ryan, Tyler, and Ashley were recently elected as the new class officers (president, vice president, secretary, treasurer) of the sophomore class at Summit College. From the following clues, determine which position each holds. a) Ashley is younger than the president but older than the treasurer. b) Brianna and the secretary are both the same age, and they are the youngest members of the group. c) Tyler and the secretary are next-door neighbors.

Solve the following logic puzzles. Explain how you utilize every clue to solve the following puzzles. 1. Brianna, Ryan, Tyler, and Ashley were recently elected as the new class officers (president, vice president, secretary, treasurer) of the sophomore class at Summit College. From the following clues, determine which position each holds. a) Ashley is younger than the president but older than the treasurer. b) Brianna and the secretary are both the same age, and they are the youngest members of the group. c) Tyler and the secretary are next-door neighbors.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Solve the following logic puzzles. Explain how you utilize every clue to solve the following puzzles. 1. Brianna, Ryan, Tyler, and Ashley were recently elected as the new class officers (president, vice president, secretary, treasurer) of the sophomore class at Summit College. From the following clues, determine which position each holds. a) Ashley is younger than the president but older than the treasurer. b) Brianna and the secretary are both the same age, and they are the youngest members of the group. c) Tyler and the secretary are next-door neighbors. 2. The cities of Urdaneta, San Carlos, Dagupan, and Alaminos held conventions this summer for collectors of coins, stamps, comic books, and Christmas cards. From the following clues, determine which collectors met in which city. a) The comic book collectors’ convention was in August, as was the convention held in San Carlos. b) The Christmas card collectors did not meet in Dagupan, and the coin collectors did not meet in Alaminos or San Carlos. c) The convention in Urdaneta was held during the week of July 4, whereas the coin collectors' convention was held the week after that. d) The convention in San Carlos had more collectors attending it than did the stamp collectors convention.
Transcribed Image Text:Solve the following logic puzzles. Explain how you utilize every clue to solve the following puzzles. 1. Brianna, Ryan, Tyler, and Ashley were recently elected as the new class officers (president, vice president, secretary, treasurer) of the sophomore class at Summit College. From the following clues, determine which position each holds. a) Ashley is younger than the president but older than the treasurer. b) Brianna and the secretary are both the same age, and they are the youngest members of the group. c) Tyler and the secretary are next-door neighbors. 2. The cities of Urdaneta, San Carlos, Dagupan, and Alaminos held conventions this summer for collectors of coins, stamps, comic books, and Christmas cards. From the following clues, determine which collectors met in which city. a) The comic book collectors’ convention was in August, as was the convention held in San Carlos. b) The Christmas card collectors did not meet in Dagupan, and the coin collectors did not meet in Alaminos or San Carlos. c) The convention in Urdaneta was held during the week of July 4, whereas the coin collectors' convention was held the week after that. d) The convention in San Carlos had more collectors attending it than did the stamp collectors convention.
Puzzles Example: 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. 1. Maria gets home from work after the banker but before the dentist. 2. Sarah, who is the last to get home from work, is not the editor. 3. The dentist and Sarah leave for work at the same time. 4. The banker lives next door to Brian. Solution: From clue 1, Maria is not the banker or the dentist. In the following chart, write X1 (which stands for "ruled out'by clue 1") in the Banker and the Dentist columns of Maria's row. From clue 2, Sarah is not the editor. Write X2 (ruled out by clue 2) in the Editor column of Sarah’s row. We know from clue 1 that the banker is not the last to get home, and we know from clue 2 that Sarah is the last to get home; therefore, Sarah is not the banker. Write X2 in the Banker column of Sarah’s row. From clue 3, Sarah is not the dentist. Write X3 for this condition. There are now Xs for three of the four occupations in Sarah's row; therefore, Sarah must be the chef. Place a in that box. Since Sarah is the chef, none of the other three people can be the chef. Write X3 for these conditions. There are now Xs for three of the four occupations in Maria's row; therefore, Maria must be the editor. Insert a to indicate that Maria is the editor, and write X3 twice to indicate that neither Sean nor Brian is the editor. From clue 4, Brian is not the banker. Write X4 for this condition. Since there are three Xs in the Banker column, Sean must be the banker. Place a in that box. Thus, Sean cannot be the dentist. Write X4 in that box. Since there are 3 Xs in the Dentist column, Brian must be the dentist. Place a in that box. Editor Banker Chef Dentist Sean X3 X3 X4 Maria XI X3 X1 Sarah X2 X2 X3 X3 X4 X3 Brian
Transcribed Image Text:Puzzles Example: 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. 1. Maria gets home from work after the banker but before the dentist. 2. Sarah, who is the last to get home from work, is not the editor. 3. The dentist and Sarah leave for work at the same time. 4. The banker lives next door to Brian. Solution: From clue 1, Maria is not the banker or the dentist. In the following chart, write X1 (which stands for "ruled out'by clue 1") in the Banker and the Dentist columns of Maria's row. From clue 2, Sarah is not the editor. Write X2 (ruled out by clue 2) in the Editor column of Sarah’s row. We know from clue 1 that the banker is not the last to get home, and we know from clue 2 that Sarah is the last to get home; therefore, Sarah is not the banker. Write X2 in the Banker column of Sarah’s row. From clue 3, Sarah is not the dentist. Write X3 for this condition. There are now Xs for three of the four occupations in Sarah's row; therefore, Sarah must be the chef. Place a in that box. Since Sarah is the chef, none of the other three people can be the chef. Write X3 for these conditions. There are now Xs for three of the four occupations in Maria's row; therefore, Maria must be the editor. Insert a to indicate that Maria is the editor, and write X3 twice to indicate that neither Sean nor Brian is the editor. From clue 4, Brian is not the banker. Write X4 for this condition. Since there are three Xs in the Banker column, Sean must be the banker. Place a in that box. Thus, Sean cannot be the dentist. Write X4 in that box. Since there are 3 Xs in the Dentist column, Brian must be the dentist. Place a in that box. Editor Banker Chef Dentist Sean X3 X3 X4 Maria XI X3 X1 Sarah X2 X2 X3 X3 X4 X3 Brian
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