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Syllogism Worksheet

Logical reasoning lesson 21: Syllogisms · Set 129 · 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 coins are rings. Some coins are kites. Conclusion: Some rings are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  2. 2.Statements: No bells are pens. Some rings are bells. Conclusion: No rings are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  3. 3.Statements: Some boxes are balls. Some cups are boxes. Conclusion: All cups are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  4. 4.Statements: All balls are books. All books are bells. Conclusion: No balls are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  5. 5.Statements: All toys are shoes. No toys are caps. Conclusion: All shoes are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  6. 6.Statements: Some boxes are caps. No boxes are keys. Conclusion: Some caps are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  7. 7.Statements: No balls are rings. Some rings are boxes. Conclusion: Some boxes are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  8. 8.Statements: Some boxes are caps. All boxes are balls. Conclusion: All caps are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  9. 9.Statements: All boxes are cups. All boxes are kites. Conclusion: Some cups are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  10. 10.Statements: Some rings are bells. All bells are caps. Conclusion: All rings are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  11. 11.Statements: No kites are bells. All kites are cups. Conclusion: No cups are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  12. 12.Statements: All balls are books. Some books are boxes. Conclusion: All boxes are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  13. 13.Statements: All pens are rings. No toys are rings. Conclusion: No toys are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  14. 14.Statements: No coins are books. No books are keys. Conclusion: Some keys are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  15. 15.Statements: Some pens are boxes. Some pens are toys. Conclusion: No toys are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  16. 16.Statements: All pens are bags. All pens are coins. Conclusion: Some coins are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  17. 17.Statements: All rings are coins. No rings are pens. Conclusion: All pens are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  18. 18.Statements: Some keys are shoes. All balls are keys. Conclusion: All balls are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  19. 19.Statements: No bags are caps. All caps are kites. Conclusion: All kites are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  20. 20.Statements: Some bags are balls. Some pens are bags. Conclusion: All pens are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  21. 21.Statements: All coins are bags. All pens are coins. Conclusion: No pens are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  22. 22.Statements: No caps are shoes. All bags are shoes. Conclusion: No caps are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  23. 23.Statements: All balls are rings. Some rings are toys. Conclusion: All toys are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  24. 24.Statements: Some bags are cups. Some balls are bags. Conclusion: Some cups are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  25. 25.Statements: No coins are caps. All bells are caps. Conclusion: No bells are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  26. 26.Statements: No balls are books. All shoes are balls. Conclusion: All books are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  27. 27.Statements: All keys are shoes. All balls are keys. Conclusion: All shoes are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  28. 28.Statements: Some pens are kites. All pens are boxes. Conclusion: Some boxes are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  29. 29.Statements: All rings are boxes. Some balls are rings. Conclusion: Some balls are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  30. 30.Statements: All boxes are books. No pens are books. Conclusion: Some boxes are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  31. 31.Statements: All bells are boxes. Some caps are bells. Conclusion: Some boxes are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  32. 32.Statements: No shoes are caps. All caps are keys. Conclusion: All shoes are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  33. 33.Statements: Some keys are boxes. No boxes are bags. Conclusion: Some bags are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  34. 34.Statements: All bells are toys. Some bells are cups. Conclusion: Some toys are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  35. 35.Statements: All caps are keys. All keys are toys. Conclusion: No toys are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  36. 36.Statements: No toys are keys. All toys are balls. Conclusion: Some balls are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  37. 37.Statements: All caps are shoes. Some boxes are caps. Conclusion: No boxes are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  38. 38.Statements: No coins are keys. All rings are keys. Conclusion: All rings are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  39. 39.Statements: Some rings are balls. All balls are coins. Conclusion: Some rings are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  40. 40.Statements: Some shoes are keys. All keys are pens. Conclusion: Some pens are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No

Answer key

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

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