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Syllogism Worksheet

Logical reasoning lesson 21: Syllogisms · Set 279 · 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 bags are shoes. No bags are cups. Conclusion: Some cups are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  2. 2.Statements: No toys are boxes. All shoes are boxes. Conclusion: No shoes are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  3. 3.Statements: All books are balls. Some books are boxes. Conclusion: Some balls are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  4. 4.Statements: Some boxes are kites. No kites are keys. Conclusion: All keys are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  5. 5.Statements: All kites are rings. All rings are pens. Conclusion: All pens are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  6. 6.Statements: All bells are rings. Some bells are toys. Conclusion: Some rings are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  7. 7.Statements: No toys are rings. All kites are rings. Conclusion: No kites are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  8. 8.Statements: No pens are books. Some coins are pens. Conclusion: All books are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  9. 9.Statements: All shoes are keys. No books are keys. Conclusion: No books are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  10. 10.Statements: No balls are books. All shoes are balls. Conclusion: Some books are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  11. 11.Statements: No shoes are bags. No rings are bags. Conclusion: No shoes are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  12. 12.Statements: Some kites are balls. No bags are kites. Conclusion: Some bags are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  13. 13.Statements: No balls are kites. All rings are balls. Conclusion: No kites are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  14. 14.Statements: All boxes are kites. No boxes are bells. Conclusion: All bells are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  15. 15.Statements: No coins are pens. All coins are kites. Conclusion: Some kites are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  16. 16.Statements: No rings are shoes. All shoes are balls. Conclusion: All rings are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  17. 17.Statements: Some toys are boxes. All toys are coins. Conclusion: All boxes are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  18. 18.Statements: No rings are boxes. No boxes are books. Conclusion: No rings are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  19. 19.Statements: Some rings are caps. All rings are pens. Conclusion: No caps are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  20. 20.Statements: All bags are bells. No bells are shoes. Conclusion: Some shoes are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  21. 21.Statements: No books are boxes. Some books are cups. Conclusion: No boxes are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  22. 22.Statements: Some coins are caps. Some pens are caps. Conclusion: Some pens are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  23. 23.Statements: No kites are bells. All shoes are kites. Conclusion: All shoes are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  24. 24.Statements: No caps are books. All cups are books. Conclusion: No caps are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  25. 25.Statements: Some cups are boxes. No caps are cups. Conclusion: All caps are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  26. 26.Statements: Some coins are shoes. Some kites are shoes. Conclusion: All kites are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  27. 27.Statements: No keys are kites. Some kites are rings. Conclusion: All rings are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  28. 28.Statements: All toys are books. No books are balls. Conclusion: No toys are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  29. 29.Statements: All pens are cups. No cups are balls. Conclusion: Some pens are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  30. 30.Statements: All caps are coins. Some rings are coins. Conclusion: No rings are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  31. 31.Statements: Some kites are caps. Some kites are bells. Conclusion: No bells are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  32. 32.Statements: All coins are shoes. Some toys are coins. Conclusion: Some toys are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  33. 33.Statements: All pens are rings. All coins are pens. Conclusion: All rings are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  34. 34.Statements: All books are boxes. All bells are boxes. Conclusion: All books are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  35. 35.Statements: All bags are rings. No books are rings. Conclusion: No bags are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  36. 36.Statements: No pens are shoes. All keys are pens. Conclusion: Some shoes are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  37. 37.Statements: No keys are boxes. All balls are boxes. Conclusion: No balls are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  38. 38.Statements: Some cups are boxes. Some cups are keys. Conclusion: No boxes are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  39. 39.Statements: No boxes are caps. No boxes are rings. Conclusion: All rings are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  40. 40.Statements: Some cups are coins. Some coins are boxes. Conclusion: All boxes are cups. 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. Yes
  8. No
  9. Yes
  10. No
  11. No
  12. No
  13. Yes
  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. Yes
  33. No
  34. No
  35. Yes
  36. No
  37. Yes
  38. No
  39. No
  40. No

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