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Syllogism Worksheet

Logical reasoning lesson 21: Syllogisms · Set 76 · 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 bags are pens. No bags are kites. Conclusion: No kites are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  2. 2.Statements: All rings are bells. All bells are coins. Conclusion: No coins are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  3. 3.Statements: All balls are coins. Some balls are toys. Conclusion: All toys are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  4. 4.Statements: All rings are kites. Some rings are books. Conclusion: Some books are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  5. 5.Statements: All keys are balls. No balls are pens. Conclusion: All keys are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  6. 6.Statements: All toys are pens. All toys are shoes. Conclusion: Some shoes are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  7. 7.Statements: All bags are balls. No balls are books. Conclusion: No bags are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  8. 8.Statements: All shoes are boxes. No kites are boxes. Conclusion: No shoes are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  9. 9.Statements: No boxes are bags. Some bags are rings. Conclusion: No rings are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  10. 10.Statements: All balls are bells. All balls are boxes. Conclusion: All bells are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  11. 11.Statements: Some balls are pens. Some kites are balls. Conclusion: All kites are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  12. 12.Statements: Some rings are balls. All rings are boxes. Conclusion: No balls are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  13. 13.Statements: All caps are balls. All caps are kites. Conclusion: Some balls are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  14. 14.Statements: All bags are books. Some balls are bags. Conclusion: All books are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  15. 15.Statements: Some boxes are kites. All boxes are balls. Conclusion: Some balls are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  16. 16.Statements: All balls are books. No boxes are books. Conclusion: Some boxes are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  17. 17.Statements: All bells are keys. All keys are bags. Conclusion: No bags are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  18. 18.Statements: All rings are balls. All books are rings. Conclusion: No balls are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  19. 19.Statements: No coins are cups. All kites are cups. Conclusion: All kites are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  20. 20.Statements: All shoes are pens. All pens are balls. Conclusion: All shoes are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  21. 21.Statements: No keys are boxes. All boxes are books. Conclusion: No books are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  22. 22.Statements: Some pens are bags. All bags are coins. Conclusion: No coins are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  23. 23.Statements: All boxes are bells. Some pens are boxes. Conclusion: Some bells are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  24. 24.Statements: Some toys are cups. No cups are caps. Conclusion: No caps are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  25. 25.Statements: All caps are kites. Some keys are caps. Conclusion: No keys are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  26. 26.Statements: All pens are toys. All toys are caps. Conclusion: No caps are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  27. 27.Statements: Some coins are kites. All kites are books. Conclusion: Some coins are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  28. 28.Statements: No coins are rings. All rings are cups. Conclusion: Some cups are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  29. 29.Statements: All pens are coins. Some pens are bells. Conclusion: All bells are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  30. 30.Statements: All caps are books. All rings are books. Conclusion: No caps are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  31. 31.Statements: All caps are coins. No books are coins. Conclusion: All books are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  32. 32.Statements: All caps are books. No toys are books. Conclusion: No toys are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  33. 33.Statements: Some keys are boxes. Some books are keys. Conclusion: Some boxes are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  34. 34.Statements: All cups are kites. No toys are kites. Conclusion: No toys are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  35. 35.Statements: No bags are cups. No cups are bells. Conclusion: Some bags are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  36. 36.Statements: All boxes are caps. All boxes are books. Conclusion: Some caps are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  37. 37.Statements: Some pens are keys. Some keys are rings. Conclusion: All pens are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  38. 38.Statements: All pens are toys. No pens are keys. Conclusion: All keys are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  39. 39.Statements: All pens are keys. No keys are bags. Conclusion: No bags are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  40. 40.Statements: Some caps are bells. No caps are bags. Conclusion: All bells are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No

Answer key

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

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