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Syllogism Worksheet

Logical reasoning lesson 21: Syllogisms · Set 87 · 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: Some kites are books. No pens are kites. Conclusion: No pens are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  2. 2.Statements: Some kites are pens. All pens are keys. Conclusion: All kites are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  3. 3.Statements: All balls are keys. All cups are balls. Conclusion: All keys are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  4. 4.Statements: No toys are bags. All rings are toys. Conclusion: Some bags are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  5. 5.Statements: All books are boxes. All boxes are cups. Conclusion: All books are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  6. 6.Statements: All rings are kites. All kites are books. Conclusion: All rings are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  7. 7.Statements: All bags are coins. Some coins are pens. Conclusion: All bags are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  8. 8.Statements: Some cups are coins. No cups are books. Conclusion: All coins are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  9. 9.Statements: No bells are cups. All kites are cups. Conclusion: Some kites are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  10. 10.Statements: All rings are cups. All rings are balls. Conclusion: No cups are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  11. 11.Statements: Some kites are bags. No kites are rings. Conclusion: Some rings are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  12. 12.Statements: Some books are shoes. All shoes are caps. Conclusion: Some books are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  13. 13.Statements: Some kites are books. Some kites are shoes. Conclusion: All books are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  14. 14.Statements: No toys are pens. Some pens are kites. Conclusion: All kites are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  15. 15.Statements: No pens are shoes. No bags are pens. Conclusion: No bags are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  16. 16.Statements: All shoes are pens. Some shoes are kites. Conclusion: No kites are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  17. 17.Statements: All rings are pens. Some cups are rings. Conclusion: All cups are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  18. 18.Statements: All boxes are caps. All pens are caps. Conclusion: No pens are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  19. 19.Statements: All bells are boxes. Some kites are boxes. Conclusion: No bells are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  20. 20.Statements: No bags are balls. All pens are bags. Conclusion: No balls are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  21. 21.Statements: All toys are pens. No toys are bags. Conclusion: No pens are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  22. 22.Statements: Some toys are books. Some coins are books. Conclusion: No coins are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  23. 23.Statements: No shoes are books. Some books are bags. Conclusion: No shoes are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  24. 24.Statements: Some boxes are books. All toys are boxes. Conclusion: All toys are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  25. 25.Statements: No pens are kites. Some pens are cups. Conclusion: No cups are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  26. 26.Statements: Some pens are balls. No pens are cups. Conclusion: All cups are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  27. 27.Statements: All books are bells. All kites are bells. Conclusion: All books are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  28. 28.Statements: Some keys are toys. Some keys are pens. Conclusion: No toys are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  29. 29.Statements: No caps are shoes. All shoes are coins. Conclusion: All caps are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  30. 30.Statements: No bags are coins. Some bags are caps. Conclusion: No caps are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  31. 31.Statements: All caps are shoes. No shoes are bags. Conclusion: Some bags are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  32. 32.Statements: All caps are rings. All coins are caps. Conclusion: All coins are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  33. 33.Statements: No caps are bags. All bags are boxes. Conclusion: Some caps are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  34. 34.Statements: All kites are cups. No cups are shoes. Conclusion: All kites are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  35. 35.Statements: No cups are bells. Some bells are rings. Conclusion: No rings are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  36. 36.Statements: All bags are books. All pens are bags. Conclusion: All pens are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  37. 37.Statements: Some bells are bags. Some bags are books. Conclusion: All bells are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  38. 38.Statements: No keys are boxes. All bells are keys. Conclusion: Some bells are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  39. 39.Statements: All coins are bags. No bags are keys. Conclusion: Some keys are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  40. 40.Statements: No boxes are shoes. Some coins are boxes. Conclusion: All shoes are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No

Answer key

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

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