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Syllogism Worksheet

Logical reasoning lesson 21: Syllogisms · Set 78 · 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 boxes are books. Some balls are books. Conclusion: Some boxes are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  2. 2.Statements: Some books are pens. All pens are bags. Conclusion: Some bags are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  3. 3.Statements: All keys are caps. All rings are keys. Conclusion: Some caps are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  4. 4.Statements: No bags are boxes. Some bags are bells. Conclusion: No boxes are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  5. 5.Statements: Some bags are rings. Some cups are rings. Conclusion: All bags are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  6. 6.Statements: All bags are boxes. No caps are boxes. Conclusion: Some bags are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  7. 7.Statements: All caps are bells. No bells are rings. Conclusion: All rings are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  8. 8.Statements: Some bags are keys. Some toys are keys. Conclusion: No bags are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  9. 9.Statements: All coins are keys. Some keys are toys. Conclusion: Some coins are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  10. 10.Statements: All balls are boxes. No toys are boxes. Conclusion: No toys are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  11. 11.Statements: No pens are balls. Some pens are coins. Conclusion: All coins are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  12. 12.Statements: All bags are bells. All bags are caps. Conclusion: All caps are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  13. 13.Statements: All keys are rings. All toys are keys. Conclusion: All toys are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  14. 14.Statements: All pens are balls. No boxes are pens. Conclusion: No balls are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  15. 15.Statements: All boxes are coins. All boxes are books. Conclusion: Some books are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  16. 16.Statements: All bags are books. All cups are bags. Conclusion: All cups are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  17. 17.Statements: All kites are pens. No pens are books. Conclusion: Some books are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  18. 18.Statements: All bells are kites. No pens are bells. Conclusion: All pens are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  19. 19.Statements: All books are toys. All balls are books. Conclusion: Some toys are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  20. 20.Statements: No cups are caps. No cups are balls. Conclusion: All balls are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  21. 21.Statements: All boxes are kites. All boxes are caps. Conclusion: Some kites are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  22. 22.Statements: All pens are boxes. All bells are boxes. Conclusion: All bells are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  23. 23.Statements: All bags are pens. All boxes are bags. Conclusion: Some pens are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  24. 24.Statements: All shoes are bags. All shoes are coins. Conclusion: Some coins are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  25. 25.Statements: All balls are rings. No kites are rings. Conclusion: No kites are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  26. 26.Statements: Some rings are caps. Some boxes are rings. Conclusion: Some caps are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  27. 27.Statements: No toys are cups. No bags are cups. Conclusion: No toys are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  28. 28.Statements: All caps are books. No rings are caps. Conclusion: No rings are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  29. 29.Statements: All books are shoes. All toys are books. Conclusion: No toys are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  30. 30.Statements: No cups are pens. Some shoes are cups. Conclusion: All shoes are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  31. 31.Statements: No rings are toys. All shoes are toys. Conclusion: No rings are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  32. 32.Statements: No bags are pens. All cups are pens. Conclusion: Some cups are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  33. 33.Statements: No caps are keys. No toys are caps. Conclusion: Some keys are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  34. 34.Statements: All cups are shoes. Some shoes are pens. Conclusion: No cups are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  35. 35.Statements: Some pens are keys. No caps are pens. Conclusion: All caps are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  36. 36.Statements: Some rings are balls. All balls are kites. Conclusion: No rings are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  37. 37.Statements: All coins are boxes. Some coins are keys. Conclusion: No boxes are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  38. 38.Statements: No bags are rings. Some rings are coins. Conclusion: All bags are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  39. 39.Statements: Some boxes are shoes. No caps are boxes. Conclusion: No shoes are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  40. 40.Statements: Some coins are rings. All rings are books. Conclusion: Some coins are books. 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. No
  7. No
  8. No
  9. No
  10. Yes
  11. No
  12. No
  13. Yes
  14. No
  15. Yes
  16. Yes
  17. No
  18. No
  19. Yes
  20. No
  21. Yes
  22. No
  23. Yes
  24. Yes
  25. Yes
  26. No
  27. No
  28. No
  29. No
  30. No
  31. Yes
  32. No
  33. No
  34. No
  35. No
  36. No
  37. No
  38. No
  39. No
  40. Yes

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