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Syllogism Worksheet

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

Answer key

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

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