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Syllogism Worksheet

Logical reasoning lesson 21: Syllogisms · Set 182 · 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 kites are bags. All caps are bags. Conclusion: Some kites are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  2. 2.Statements: No bags are caps. No toys are caps. Conclusion: All bags are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  3. 3.Statements: Some keys are kites. Some boxes are keys. Conclusion: All boxes are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  4. 4.Statements: No pens are bells. All caps are bells. Conclusion: Some caps are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  5. 5.Statements: All boxes are toys. Some bells are boxes. Conclusion: Some toys are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  6. 6.Statements: No rings are caps. All caps are cups. Conclusion: All rings are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  7. 7.Statements: No kites are toys. All bells are kites. Conclusion: No bells are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  8. 8.Statements: No toys are books. All books are coins. Conclusion: No toys are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  9. 9.Statements: All bags are kites. All bags are keys. Conclusion: Some kites are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  10. 10.Statements: All coins are rings. All rings are bells. Conclusion: Some coins are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  11. 11.Statements: Some cups are books. All books are kites. Conclusion: Some cups are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  12. 12.Statements: No rings are cups. No rings are toys. Conclusion: All cups are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  13. 13.Statements: All caps are kites. No shoes are caps. Conclusion: All kites are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  14. 14.Statements: No boxes are pens. All keys are pens. Conclusion: All keys are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  15. 15.Statements: All balls are boxes. No balls are bells. Conclusion: Some bells are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  16. 16.Statements: All caps are keys. Some kites are caps. Conclusion: Some kites are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  17. 17.Statements: Some caps are bags. Some balls are caps. Conclusion: Some bags are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  18. 18.Statements: All books are keys. No bags are keys. Conclusion: No bags are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  19. 19.Statements: All books are pens. Some balls are books. Conclusion: Some pens are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  20. 20.Statements: All pens are shoes. All shoes are cups. Conclusion: All pens are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  21. 21.Statements: Some pens are cups. No cups are caps. Conclusion: All caps are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  22. 22.Statements: No cups are pens. All caps are cups. Conclusion: All pens are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  23. 23.Statements: All shoes are caps. No keys are caps. Conclusion: Some keys are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  24. 24.Statements: All cups are shoes. Some kites are cups. Conclusion: All kites are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  25. 25.Statements: No cups are bells. All toys are bells. Conclusion: No toys are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  26. 26.Statements: All boxes are caps. All boxes are balls. Conclusion: Some caps are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  27. 27.Statements: Some books are keys. No caps are books. Conclusion: Some keys are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  28. 28.Statements: All kites are bags. No pens are kites. Conclusion: All bags are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  29. 29.Statements: All keys are books. No books are rings. Conclusion: Some rings are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  30. 30.Statements: No shoes are pens. All pens are coins. Conclusion: Some shoes are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  31. 31.Statements: All bags are keys. Some rings are bags. Conclusion: All keys are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  32. 32.Statements: All rings are kites. All rings are shoes. Conclusion: All kites are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  33. 33.Statements: No toys are pens. All coins are toys. Conclusion: No pens are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  34. 34.Statements: All cups are pens. No kites are pens. Conclusion: Some kites are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  35. 35.Statements: No cups are caps. Some cups are toys. Conclusion: All caps are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  36. 36.Statements: Some toys are balls. No toys are coins. Conclusion: Some coins are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  37. 37.Statements: No cups are bags. Some caps are bags. Conclusion: All cups are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  38. 38.Statements: Some coins are cups. All coins are caps. Conclusion: All caps are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  39. 39.Statements: No rings are balls. All balls are coins. Conclusion: No rings are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  40. 40.Statements: Some pens are kites. All pens are keys. Conclusion: No kites 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. No
  7. Yes
  8. No
  9. Yes
  10. Yes
  11. Yes
  12. No
  13. No
  14. No
  15. No
  16. Yes
  17. No
  18. Yes
  19. Yes
  20. Yes
  21. No
  22. No
  23. No
  24. No
  25. Yes
  26. Yes
  27. No
  28. No
  29. No
  30. No
  31. No
  32. No
  33. Yes
  34. No
  35. No
  36. No
  37. No
  38. No
  39. No
  40. No

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