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Syllogism Worksheet

Logical reasoning lesson 21: Syllogisms · Set 247 · 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 balls. All rings are bags. Conclusion: No rings are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  2. 2.Statements: No boxes are bags. All boxes are pens. Conclusion: All bags are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  3. 3.Statements: No bags are caps. All caps are coins. Conclusion: No bags are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  4. 4.Statements: Some toys are books. All toys are keys. Conclusion: No books are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  5. 5.Statements: No coins are caps. All pens are coins. Conclusion: No pens are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  6. 6.Statements: All rings are kites. All rings are caps. Conclusion: Some kites are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  7. 7.Statements: Some bells are toys. No toys are cups. Conclusion: Some cups are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  8. 8.Statements: All rings are balls. Some rings are caps. Conclusion: All balls are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  9. 9.Statements: All toys are shoes. All shoes are kites. Conclusion: All toys are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  10. 10.Statements: No rings are bags. All balls are rings. Conclusion: No bags are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  11. 11.Statements: No bells are shoes. All shoes are balls. Conclusion: No bells are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  12. 12.Statements: All cups are shoes. All shoes are books. Conclusion: All books are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  13. 13.Statements: All keys are pens. No shoes are pens. Conclusion: All shoes are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  14. 14.Statements: All pens are toys. Some bags are pens. Conclusion: No bags are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  15. 15.Statements: No cups are kites. No kites are coins. Conclusion: All coins are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  16. 16.Statements: Some kites are cups. All books are cups. Conclusion: Some kites are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  17. 17.Statements: No keys are books. Some caps are keys. Conclusion: All books are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  18. 18.Statements: Some caps are bags. Some toys are bags. Conclusion: Some caps are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  19. 19.Statements: Some balls are bells. Some balls are boxes. Conclusion: No boxes are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  20. 20.Statements: Some bags are caps. All bags are keys. Conclusion: All keys are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  21. 21.Statements: Some coins are boxes. No bags are coins. Conclusion: All bags are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  22. 22.Statements: No rings are boxes. All books are boxes. Conclusion: No books are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  23. 23.Statements: Some pens are shoes. All shoes are coins. Conclusion: No pens are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  24. 24.Statements: Some coins are keys. All keys are balls. Conclusion: No balls are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  25. 25.Statements: No cups are books. All rings are cups. Conclusion: No rings are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  26. 26.Statements: No boxes are rings. No pens are rings. Conclusion: All boxes are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  27. 27.Statements: No cups are rings. All bells are rings. Conclusion: All bells are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  28. 28.Statements: No coins are toys. No toys are cups. Conclusion: Some coins are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  29. 29.Statements: All toys are kites. No rings are toys. Conclusion: Some kites are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  30. 30.Statements: All toys are pens. All boxes are pens. Conclusion: Some toys are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  31. 31.Statements: No caps are cups. All bells are cups. Conclusion: Some caps are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  32. 32.Statements: All coins are bags. All coins are books. Conclusion: Some bags are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  33. 33.Statements: Some toys are boxes. Some toys are balls. Conclusion: Some boxes are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  34. 34.Statements: Some cups are kites. All keys are cups. Conclusion: Some keys are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  35. 35.Statements: All boxes are rings. All boxes are keys. Conclusion: Some rings are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  36. 36.Statements: All bells are coins. All coins are toys. Conclusion: All bells are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  37. 37.Statements: No bells are boxes. All coins are bells. Conclusion: Some coins are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  38. 38.Statements: No bags are boxes. No toys are bags. Conclusion: All boxes are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  39. 39.Statements: All bags are kites. Some bags are toys. Conclusion: Some toys are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  40. 40.Statements: Some coins are toys. No toys are cups. Conclusion: Some cups are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No

Answer key

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

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