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Syllogism Worksheet

Logical reasoning lesson 21: Syllogisms · Set 353 · 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 pens are kites. No balls are kites. Conclusion: Some pens are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  2. 2.Statements: No keys are cups. Some keys are pens. Conclusion: Some pens are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  3. 3.Statements: No cups are kites. All bells are kites. Conclusion: No cups are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  4. 4.Statements: No rings are bags. All rings are pens. Conclusion: All pens are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  5. 5.Statements: All cups are kites. All kites are bags. Conclusion: All cups are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  6. 6.Statements: All kites are bells. All bells are coins. Conclusion: Some coins are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  7. 7.Statements: All rings are kites. All bags are rings. Conclusion: All kites are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  8. 8.Statements: Some bags are cups. No bags are boxes. Conclusion: No cups are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  9. 9.Statements: Some balls are bags. All bags are shoes. Conclusion: Some shoes are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  10. 10.Statements: No toys are balls. Some balls are books. Conclusion: All toys are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  11. 11.Statements: All coins are caps. Some coins are kites. Conclusion: No caps are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  12. 12.Statements: All kites are bells. All toys are kites. Conclusion: Some bells are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  13. 13.Statements: All keys are pens. All keys are cups. Conclusion: All cups are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  14. 14.Statements: All rings are books. No kites are rings. Conclusion: No books are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  15. 15.Statements: All rings are kites. Some bags are rings. Conclusion: Some bags are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  16. 16.Statements: No boxes are rings. No boxes are pens. Conclusion: No rings are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  17. 17.Statements: Some keys are boxes. All keys are rings. Conclusion: Some boxes are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  18. 18.Statements: Some toys are coins. All keys are coins. Conclusion: No keys are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  19. 19.Statements: No balls are pens. Some kites are pens. Conclusion: Some kites are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  20. 20.Statements: No keys are books. Some boxes are keys. Conclusion: All boxes are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  21. 21.Statements: All coins are kites. No kites are bells. Conclusion: All coins are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  22. 22.Statements: No books are toys. All rings are books. Conclusion: No rings are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  23. 23.Statements: All shoes are pens. All shoes are coins. Conclusion: Some coins are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  24. 24.Statements: Some boxes are coins. Some cups are coins. Conclusion: All cups are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  25. 25.Statements: No bags are books. Some books are kites. Conclusion: No bags are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  26. 26.Statements: All toys are books. Some books are kites. Conclusion: No toys are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  27. 27.Statements: No balls are bags. Some balls are coins. Conclusion: No bags are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  28. 28.Statements: Some books are boxes. All books are rings. Conclusion: No rings are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  29. 29.Statements: All cups are pens. Some balls are pens. Conclusion: No cups are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  30. 30.Statements: All balls are toys. All balls are boxes. Conclusion: Some boxes are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  31. 31.Statements: Some kites are keys. No pens are keys. Conclusion: No kites are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  32. 32.Statements: No pens are toys. No pens are shoes. Conclusion: All shoes are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  33. 33.Statements: All boxes are balls. Some rings are boxes. Conclusion: No balls are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  34. 34.Statements: All rings are pens. All bags are rings. Conclusion: Some pens are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  35. 35.Statements: No toys are rings. Some bells are rings. Conclusion: All toys are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  36. 36.Statements: Some books are pens. Some cups are pens. Conclusion: No cups are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  37. 37.Statements: No coins are bags. All pens are bags. Conclusion: No pens are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  38. 38.Statements: No books are coins. No books are pens. Conclusion: All coins are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  39. 39.Statements: All shoes are pens. All rings are shoes. Conclusion: Some rings are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  40. 40.Statements: Some bags are books. All bags are keys. Conclusion: No books are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No

Answer key

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

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