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Syllogism Worksheet

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

Answer key

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

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