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Syllogism Worksheet

Logical reasoning lesson 21: Syllogisms · Set 48 · 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 pens are coins. Some boxes are pens. Conclusion: Some boxes are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  2. 2.Statements: All boxes are books. All rings are books. Conclusion: Some rings are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  3. 3.Statements: All caps are books. All caps are bells. Conclusion: Some books are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  4. 4.Statements: No bells are bags. Some bells are books. Conclusion: All bags are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  5. 5.Statements: All books are balls. Some bells are books. Conclusion: All balls are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  6. 6.Statements: No coins are rings. No cups are coins. Conclusion: Some cups are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  7. 7.Statements: All boxes are pens. No pens are books. Conclusion: No books are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  8. 8.Statements: All caps are balls. Some coins are caps. Conclusion: Some balls are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  9. 9.Statements: No coins are rings. No shoes are rings. Conclusion: Some coins are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  10. 10.Statements: Some balls are books. Some toys are balls. Conclusion: Some toys are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  11. 11.Statements: No boxes are books. All books are coins. Conclusion: No coins are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  12. 12.Statements: No toys are bells. Some rings are toys. Conclusion: No rings are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  13. 13.Statements: All coins are boxes. Some cups are coins. Conclusion: No cups are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  14. 14.Statements: No toys are kites. All boxes are kites. Conclusion: No boxes are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  15. 15.Statements: All bells are coins. Some bells are pens. Conclusion: Some pens are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  16. 16.Statements: All boxes are books. Some cups are books. Conclusion: All cups are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  17. 17.Statements: All kites are boxes. Some bags are kites. Conclusion: All bags are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  18. 18.Statements: All boxes are toys. All toys are bags. Conclusion: No boxes are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  19. 19.Statements: Some kites are pens. All pens are boxes. Conclusion: Some kites are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  20. 20.Statements: Some keys are balls. All balls are toys. Conclusion: No toys are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  21. 21.Statements: Some shoes are pens. All shoes are caps. Conclusion: Some caps are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  22. 22.Statements: Some rings are bags. Some bags are coins. Conclusion: All coins are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  23. 23.Statements: All shoes are boxes. All toys are shoes. Conclusion: All toys are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  24. 24.Statements: All boxes are books. Some balls are boxes. Conclusion: Some books are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  25. 25.Statements: All caps are rings. Some balls are caps. Conclusion: Some balls are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  26. 26.Statements: All caps are coins. No coins are shoes. Conclusion: No caps are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  27. 27.Statements: No caps are shoes. Some kites are shoes. Conclusion: No kites are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  28. 28.Statements: No toys are kites. No kites are shoes. Conclusion: Some toys are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  29. 29.Statements: Some coins are rings. All pens are rings. Conclusion: No coins are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  30. 30.Statements: All bells are cups. No keys are bells. Conclusion: Some cups are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  31. 31.Statements: Some balls are caps. Some caps are kites. Conclusion: No balls are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  32. 32.Statements: All toys are rings. All caps are toys. Conclusion: Some caps are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  33. 33.Statements: No boxes are books. All toys are boxes. Conclusion: Some toys are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  34. 34.Statements: All boxes are rings. All rings are balls. Conclusion: Some balls are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  35. 35.Statements: Some coins are books. All balls are books. Conclusion: Some balls are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  36. 36.Statements: All bells are caps. All caps are kites. Conclusion: All kites are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  37. 37.Statements: Some cups are bags. No boxes are cups. Conclusion: No boxes are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  38. 38.Statements: No coins are cups. Some books are cups. Conclusion: All books are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  39. 39.Statements: All boxes are keys. All books are boxes. Conclusion: No keys are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  40. 40.Statements: Some boxes are cups. All boxes are kites. Conclusion: All kites are cups. 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. Yes
  8. Yes
  9. No
  10. No
  11. No
  12. No
  13. No
  14. Yes
  15. Yes
  16. No
  17. No
  18. No
  19. Yes
  20. No
  21. Yes
  22. No
  23. Yes
  24. Yes
  25. Yes
  26. Yes
  27. No
  28. No
  29. No
  30. No
  31. No
  32. Yes
  33. No
  34. Yes
  35. No
  36. No
  37. No
  38. No
  39. No
  40. No

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