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Syllogism Worksheet

Logical reasoning lesson 21: Syllogisms · Set 273 · 40 questions
TalentJR

How to think it through (Try to break it): Draw a circle for each word. “All A are B”: A inside B. “No A are B”: apart. “Some A are B”: overlapping. Try to draw the circles so the conclusion is false while every statement stays true. If you cannot, the conclusion follows (Yes). If you can, it does not definitely follow (No).

NameDateTime takenScore ___ / 40
  1. 1.Statements: All books are shoes. Some kites are books. Conclusion: All kites are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  2. 2.Statements: All bags are toys. All bags are cups. Conclusion: Some toys are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  3. 3.Statements: All cups are rings. All cups are coins. Conclusion: No rings are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  4. 4.Statements: No coins are bells. Some bells are books. Conclusion: All books are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  5. 5.Statements: No books are boxes. All keys are boxes. Conclusion: All keys are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  6. 6.Statements: All caps are books. No bags are caps. Conclusion: Some books are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  7. 7.Statements: Some balls are books. All books are keys. Conclusion: All balls are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  8. 8.Statements: Some caps are cups. No caps are toys. Conclusion: All toys are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  9. 9.Statements: All bells are coins. Some coins are boxes. Conclusion: All bells are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  10. 10.Statements: All shoes are balls. No bags are balls. Conclusion: Some shoes are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  11. 11.Statements: Some bags are rings. All rings are boxes. Conclusion: No bags are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  12. 12.Statements: Some bells are bags. Some bells are shoes. Conclusion: No bags are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  13. 13.Statements: No coins are bags. Some keys are coins. Conclusion: All keys are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  14. 14.Statements: All pens are shoes. Some keys are shoes. Conclusion: No pens are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  15. 15.Statements: All rings are balls. Some balls are pens. Conclusion: Some rings are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  16. 16.Statements: All shoes are books. Some boxes are books. Conclusion: Some shoes are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  17. 17.Statements: Some shoes are cups. All shoes are books. Conclusion: No books are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  18. 18.Statements: Some coins are books. No bags are coins. Conclusion: No bags are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  19. 19.Statements: All pens are kites. All cups are pens. Conclusion: All kites are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  20. 20.Statements: All shoes are coins. All coins are kites. Conclusion: All kites are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  21. 21.Statements: No bags are shoes. All kites are shoes. Conclusion: No kites are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  22. 22.Statements: All cups are coins. Some cups are bells. Conclusion: Some coins are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  23. 23.Statements: No balls are pens. All pens are rings. Conclusion: No balls are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  24. 24.Statements: Some caps are books. All bags are books. Conclusion: All bags are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  25. 25.Statements: All rings are coins. All coins are keys. Conclusion: Some rings are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  26. 26.Statements: All balls are toys. All toys are caps. Conclusion: All caps are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  27. 27.Statements: All coins are balls. All balls are pens. Conclusion: All coins are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  28. 28.Statements: All boxes are pens. Some pens are toys. Conclusion: Some boxes are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  29. 29.Statements: Some bags are shoes. All bags are boxes. Conclusion: Some shoes are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  30. 30.Statements: All balls are coins. All coins are bags. Conclusion: Some bags are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  31. 31.Statements: No bags are books. All balls are bags. Conclusion: All books are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  32. 32.Statements: Some bells are bags. All bells are shoes. Conclusion: No bags are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  33. 33.Statements: Some kites are keys. All keys are books. Conclusion: All books are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  34. 34.Statements: Some rings are bells. Some rings are books. Conclusion: Some books are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  35. 35.Statements: Some bells are bags. No bags are coins. Conclusion: All coins are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  36. 36.Statements: All pens are bags. Some pens are caps. Conclusion: Some caps are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  37. 37.Statements: All rings are boxes. Some boxes are bags. Conclusion: Some bags are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  38. 38.Statements: No caps are coins. All balls are caps. Conclusion: No balls are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  39. 39.Statements: Some bags are cups. All cups are keys. Conclusion: Some bags are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  40. 40.Statements: No pens are kites. Some pens are shoes. Conclusion: No shoes are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No

Answer key

  1. No
  2. Yes
  3. No
  4. No
  5. No
  6. No
  7. No
  8. No
  9. No
  10. No
  11. No
  12. No
  13. No
  14. No
  15. No
  16. No
  17. No
  18. No
  19. No
  20. No
  21. Yes
  22. Yes
  23. No
  24. No
  25. Yes
  26. No
  27. Yes
  28. No
  29. Yes
  30. Yes
  31. No
  32. No
  33. No
  34. No
  35. No
  36. Yes
  37. No
  38. Yes
  39. Yes
  40. No

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