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Syllogism Worksheet

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

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