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Syllogism Worksheet

Logical reasoning lesson 21: Syllogisms · Set 380 · 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 balls are cups. All cups are books. Conclusion: All balls are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  2. 2.Statements: All toys are balls. No balls are bells. Conclusion: All toys are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  3. 3.Statements: All boxes are cups. No shoes are cups. Conclusion: No boxes are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  4. 4.Statements: No shoes are kites. Some bells are kites. Conclusion: All shoes are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  5. 5.Statements: All shoes are bags. No kites are bags. Conclusion: No shoes are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  6. 6.Statements: Some boxes are toys. Some keys are toys. Conclusion: No keys are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  7. 7.Statements: Some kites are balls. All kites are rings. Conclusion: Some balls are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  8. 8.Statements: Some bags are books. All books are pens. Conclusion: Some bags are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  9. 9.Statements: No bags are shoes. Some shoes are rings. Conclusion: No rings are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  10. 10.Statements: No keys are caps. All cups are keys. Conclusion: All cups are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  11. 11.Statements: No kites are pens. All kites are balls. Conclusion: All pens are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  12. 12.Statements: All bags are cups. No cups are keys. Conclusion: No bags are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  13. 13.Statements: All pens are bells. All pens are caps. Conclusion: Some bells are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  14. 14.Statements: Some rings are keys. All keys are kites. Conclusion: All rings are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  15. 15.Statements: Some shoes are boxes. All toys are boxes. Conclusion: No shoes are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  16. 16.Statements: No bells are boxes. All coins are bells. Conclusion: No boxes are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  17. 17.Statements: No cups are books. No books are pens. Conclusion: All pens are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  18. 18.Statements: Some boxes are rings. Some toys are rings. Conclusion: No toys are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  19. 19.Statements: Some pens are boxes. No boxes are books. Conclusion: Some books are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  20. 20.Statements: Some caps are toys. All toys are books. Conclusion: Some caps are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  21. 21.Statements: Some balls are pens. No pens are cups. Conclusion: No balls are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  22. 22.Statements: Some kites are coins. All coins are pens. Conclusion: All pens are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  23. 23.Statements: No caps are coins. All rings are caps. Conclusion: All coins are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  24. 24.Statements: All cups are keys. No balls are keys. Conclusion: All balls are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  25. 25.Statements: All shoes are books. Some rings are shoes. Conclusion: Some rings are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  26. 26.Statements: All pens are coins. All coins are bells. Conclusion: All bells are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  27. 27.Statements: All pens are bags. All pens are keys. Conclusion: Some bags are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  28. 28.Statements: No balls are boxes. All keys are boxes. Conclusion: No keys are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  29. 29.Statements: Some shoes are pens. Some pens are bags. Conclusion: No shoes are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  30. 30.Statements: No shoes are rings. All pens are rings. Conclusion: Some pens are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  31. 31.Statements: All shoes are boxes. All pens are shoes. Conclusion: No pens are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  32. 32.Statements: All books are rings. Some toys are books. Conclusion: Some rings are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  33. 33.Statements: No books are toys. All shoes are toys. Conclusion: No books are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  34. 34.Statements: All rings are bells. Some rings are shoes. Conclusion: Some bells are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  35. 35.Statements: No caps are boxes. No bags are caps. Conclusion: All bags are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  36. 36.Statements: Some pens are caps. All pens are books. Conclusion: All caps are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  37. 37.Statements: No pens are caps. No pens are cups. Conclusion: Some caps are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  38. 38.Statements: Some boxes are books. No boxes are pens. Conclusion: No pens are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  39. 39.Statements: All kites are keys. All caps are kites. Conclusion: All keys are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  40. 40.Statements: Some cups are kites. No cups are toys. Conclusion: Some toys are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No

Answer key

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

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