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Syllogism Worksheet

Logical reasoning lesson 21: Syllogisms · Set 276 · 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 cups are rings. No rings are kites. Conclusion: No kites are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  2. 2.Statements: All kites are balls. Some boxes are kites. Conclusion: Some boxes are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  3. 3.Statements: All shoes are cups. No cups are balls. Conclusion: No shoes are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  4. 4.Statements: No caps are boxes. No caps are toys. Conclusion: No toys are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  5. 5.Statements: All books are pens. Some pens are balls. Conclusion: All balls are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  6. 6.Statements: All bags are caps. No caps are shoes. Conclusion: No shoes are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  7. 7.Statements: All bags are pens. Some pens are keys. Conclusion: All bags are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  8. 8.Statements: All rings are keys. Some books are rings. Conclusion: No keys are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  9. 9.Statements: Some bells are rings. All bells are balls. Conclusion: All rings are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  10. 10.Statements: All bags are books. All pens are bags. Conclusion: No books are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  11. 11.Statements: All toys are books. Some toys are kites. Conclusion: No books are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  12. 12.Statements: All boxes are balls. Some boxes are pens. Conclusion: Some pens are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  13. 13.Statements: Some toys are kites. Some bags are kites. Conclusion: No toys are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  14. 14.Statements: No coins are bells. Some bells are kites. Conclusion: All coins are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  15. 15.Statements: All caps are pens. All pens are boxes. Conclusion: All boxes are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  16. 16.Statements: All cups are rings. No pens are cups. Conclusion: No pens are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  17. 17.Statements: No caps are rings. Some bags are caps. Conclusion: No rings are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  18. 18.Statements: Some caps are toys. No toys are shoes. Conclusion: No caps are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  19. 19.Statements: No balls are kites. No cups are balls. Conclusion: No kites are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  20. 20.Statements: No books are cups. Some books are coins. Conclusion: All cups are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  21. 21.Statements: No cups are boxes. All boxes are caps. Conclusion: All cups are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  22. 22.Statements: No toys are rings. Some toys are cups. Conclusion: Some cups are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  23. 23.Statements: No cups are rings. Some cups are boxes. Conclusion: All rings are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  24. 24.Statements: All pens are boxes. Some pens are cups. Conclusion: Some boxes are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  25. 25.Statements: No toys are coins. No bags are toys. Conclusion: No bags are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  26. 26.Statements: Some pens are kites. No bags are pens. Conclusion: All kites are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  27. 27.Statements: All shoes are coins. No caps are coins. Conclusion: Some caps are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  28. 28.Statements: All books are rings. No rings are bags. Conclusion: No books are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  29. 29.Statements: Some coins are cups. All bags are cups. Conclusion: All coins are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  30. 30.Statements: All balls are coins. All coins are shoes. Conclusion: No balls are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  31. 31.Statements: Some balls are toys. Some balls are bags. Conclusion: Some toys are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  32. 32.Statements: Some bells are boxes. Some pens are bells. Conclusion: No boxes are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  33. 33.Statements: Some boxes are pens. Some bells are pens. Conclusion: All boxes are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  34. 34.Statements: Some boxes are bells. Some bells are cups. Conclusion: No boxes are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  35. 35.Statements: All rings are bags. No bags are caps. Conclusion: No rings are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  36. 36.Statements: Some caps are bags. All bags are balls. Conclusion: Some caps are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  37. 37.Statements: All shoes are bags. All kites are shoes. Conclusion: Some kites are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  38. 38.Statements: No rings are balls. All boxes are rings. Conclusion: No boxes are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  39. 39.Statements: All kites are shoes. All kites are rings. Conclusion: No shoes are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  40. 40.Statements: Some bags are coins. Some bags are balls. Conclusion: All coins are balls. 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. 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. No
  21. No
  22. No
  23. No
  24. Yes
  25. No
  26. No
  27. No
  28. Yes
  29. No
  30. No
  31. No
  32. No
  33. No
  34. No
  35. Yes
  36. Yes
  37. Yes
  38. Yes
  39. No
  40. No

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