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Syllogism Worksheet

Logical reasoning lesson 21: Syllogisms · Set 100 · 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 coins are cups. No rings are cups. Conclusion: Some rings are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  2. 2.Statements: All keys are bells. All caps are bells. Conclusion: All keys are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  3. 3.Statements: No toys are keys. Some pens are keys. Conclusion: All pens are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  4. 4.Statements: All toys are caps. No bags are toys. Conclusion: All caps are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  5. 5.Statements: All coins are bags. No bags are balls. Conclusion: No balls are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  6. 6.Statements: All toys are books. No balls are books. Conclusion: No toys are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  7. 7.Statements: All books are rings. Some keys are books. Conclusion: Some keys are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  8. 8.Statements: Some books are pens. All books are shoes. Conclusion: All pens are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  9. 9.Statements: Some keys are caps. No keys are rings. Conclusion: No caps are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  10. 10.Statements: All bags are balls. Some bags are kites. Conclusion: No kites are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  11. 11.Statements: No caps are bags. All shoes are caps. Conclusion: No bags are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  12. 12.Statements: All cups are pens. Some toys are pens. Conclusion: No toys are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  13. 13.Statements: Some books are pens. No books are cups. Conclusion: All cups are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  14. 14.Statements: All bags are cups. All shoes are cups. Conclusion: All bags are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  15. 15.Statements: Some pens are caps. Some pens are bags. Conclusion: All bags are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  16. 16.Statements: All kites are pens. No toys are pens. Conclusion: All toys are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  17. 17.Statements: No boxes are pens. All coins are pens. Conclusion: No coins are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  18. 18.Statements: Some pens are books. No books are kites. Conclusion: Some kites are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  19. 19.Statements: Some balls are pens. All balls are boxes. Conclusion: No pens are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  20. 20.Statements: No books are keys. All pens are keys. Conclusion: All books are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  21. 21.Statements: All toys are rings. No bags are rings. Conclusion: No toys are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  22. 22.Statements: All rings are caps. No balls are caps. Conclusion: Some rings are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  23. 23.Statements: All bells are books. All caps are bells. Conclusion: All caps are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  24. 24.Statements: No bags are coins. All coins are shoes. Conclusion: All shoes are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  25. 25.Statements: No pens are boxes. All balls are pens. Conclusion: All balls are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  26. 26.Statements: Some pens are bags. All bells are pens. Conclusion: All bells are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  27. 27.Statements: Some shoes are cups. All keys are shoes. Conclusion: No cups are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  28. 28.Statements: Some pens are bells. All shoes are bells. Conclusion: All shoes are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  29. 29.Statements: No bells are kites. Some coins are kites. Conclusion: All bells are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  30. 30.Statements: No cups are pens. No pens are shoes. Conclusion: All cups are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  31. 31.Statements: No kites are books. Some books are bells. Conclusion: Some bells are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  32. 32.Statements: Some pens are balls. All caps are pens. Conclusion: Some caps are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  33. 33.Statements: No pens are shoes. Some shoes are coins. Conclusion: No pens are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  34. 34.Statements: No bags are keys. Some keys are cups. Conclusion: Some bags are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  35. 35.Statements: Some toys are cups. No cups are caps. Conclusion: All caps are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  36. 36.Statements: All cups are balls. Some coins are cups. Conclusion: All balls are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  37. 37.Statements: Some shoes are books. Some shoes are toys. Conclusion: All books are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  38. 38.Statements: All rings are books. All cups are books. Conclusion: Some cups are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  39. 39.Statements: Some bells are pens. All boxes are bells. Conclusion: All pens are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  40. 40.Statements: Some bells are books. No books are keys. Conclusion: Some bells are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No

Answer key

  1. No
  2. No
  3. No
  4. No
  5. Yes
  6. Yes
  7. Yes
  8. No
  9. No
  10. No
  11. Yes
  12. No
  13. No
  14. No
  15. No
  16. No
  17. Yes
  18. No
  19. No
  20. No
  21. Yes
  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. No
  35. No
  36. No
  37. No
  38. No
  39. No
  40. No

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