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Syllogism Worksheet

Logical reasoning lesson 21: Syllogisms · Set 79 · 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 caps are coins. No caps are keys. Conclusion: All keys are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  2. 2.Statements: All keys are bells. All keys are rings. Conclusion: Some rings are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  3. 3.Statements: All pens are shoes. All pens are bags. Conclusion: Some bags are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  4. 4.Statements: No balls are pens. No pens are coins. Conclusion: All coins are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  5. 5.Statements: All bags are rings. Some coins are bags. Conclusion: No coins are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  6. 6.Statements: All pens are rings. All rings are kites. Conclusion: Some kites are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  7. 7.Statements: All balls are coins. All coins are shoes. Conclusion: All balls are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  8. 8.Statements: All cups are pens. All bells are cups. Conclusion: All pens are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  9. 9.Statements: Some bells are boxes. Some bells are toys. Conclusion: No toys are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  10. 10.Statements: Some toys are bells. Some bells are boxes. Conclusion: No toys are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  11. 11.Statements: All caps are cups. All cups are toys. Conclusion: No caps are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  12. 12.Statements: Some kites are rings. All rings are toys. Conclusion: No kites are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  13. 13.Statements: No rings are bells. All bells are kites. Conclusion: No kites are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  14. 14.Statements: No keys are caps. All keys are coins. Conclusion: All coins are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  15. 15.Statements: All shoes are keys. Some keys are pens. Conclusion: No shoes are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  16. 16.Statements: No boxes are balls. All boxes are bags. Conclusion: No balls are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  17. 17.Statements: Some kites are boxes. All kites are books. Conclusion: No boxes are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  18. 18.Statements: All rings are coins. All toys are coins. Conclusion: No rings are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  19. 19.Statements: All toys are keys. No keys are bells. Conclusion: No toys are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  20. 20.Statements: Some rings are toys. Some rings are cups. Conclusion: Some toys are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  21. 21.Statements: No shoes are kites. All kites are toys. Conclusion: No shoes are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  22. 22.Statements: All rings are toys. No rings are keys. Conclusion: No keys are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  23. 23.Statements: All shoes are balls. No rings are balls. Conclusion: No shoes are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  24. 24.Statements: No boxes are bells. Some bells are caps. Conclusion: Some boxes are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  25. 25.Statements: All balls are boxes. No rings are boxes. Conclusion: Some rings are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  26. 26.Statements: Some books are bags. All keys are bags. Conclusion: All keys are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  27. 27.Statements: All kites are books. No books are coins. Conclusion: No coins are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  28. 28.Statements: Some books are bells. No bells are keys. Conclusion: Some keys are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  29. 29.Statements: No balls are rings. All caps are rings. Conclusion: No balls are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  30. 30.Statements: Some balls are keys. Some keys are books. Conclusion: All balls are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  31. 31.Statements: All caps are shoes. All pens are shoes. Conclusion: All caps are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  32. 32.Statements: Some bells are keys. Some bells are rings. Conclusion: Some keys are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  33. 33.Statements: All rings are coins. All cups are coins. Conclusion: Some cups are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  34. 34.Statements: All pens are cups. No pens are balls. Conclusion: All balls are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  35. 35.Statements: No bags are books. All books are keys. Conclusion: Some keys are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  36. 36.Statements: No keys are boxes. Some keys are shoes. Conclusion: Some shoes are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  37. 37.Statements: Some kites are toys. Some toys are coins. Conclusion: Some coins are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  38. 38.Statements: All shoes are cups. No cups are balls. Conclusion: Some shoes are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  39. 39.Statements: No kites are books. Some shoes are books. Conclusion: Some shoes are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  40. 40.Statements: Some shoes are bags. No keys are shoes. Conclusion: Some keys are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No

Answer key

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

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