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Syllogism Worksheet

Logical reasoning lesson 21: Syllogisms · Set 293 · 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 bells are toys. All toys are coins. Conclusion: Some bells are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  2. 2.Statements: All bags are pens. All bags are balls. Conclusion: Some pens are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  3. 3.Statements: All kites are books. All kites are coins. Conclusion: Some coins are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  4. 4.Statements: All bells are keys. No coins are keys. Conclusion: No bells are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  5. 5.Statements: Some boxes are keys. No bags are keys. Conclusion: All boxes are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  6. 6.Statements: All toys are pens. No pens are bags. Conclusion: Some bags are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  7. 7.Statements: No cups are books. All books are toys. Conclusion: No toys are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  8. 8.Statements: All shoes are boxes. No shoes are books. Conclusion: All boxes are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  9. 9.Statements: Some books are rings. No kites are books. Conclusion: No kites are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  10. 10.Statements: All keys are bags. No keys are caps. Conclusion: No caps are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  11. 11.Statements: All keys are bells. No bells are toys. Conclusion: All toys are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  12. 12.Statements: All bells are coins. No coins are boxes. Conclusion: No bells are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  13. 13.Statements: Some cups are coins. No pens are coins. Conclusion: All cups are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  14. 14.Statements: Some shoes are kites. All kites are boxes. Conclusion: Some boxes are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  15. 15.Statements: No cups are rings. All coins are rings. Conclusion: No coins are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  16. 16.Statements: No keys are rings. All rings are bells. Conclusion: All keys are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  17. 17.Statements: All keys are pens. No pens are bags. Conclusion: No bags are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  18. 18.Statements: Some keys are cups. No cups are bags. Conclusion: Some bags are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  19. 19.Statements: All pens are keys. No pens are balls. Conclusion: Some keys are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  20. 20.Statements: No cups are toys. Some cups are bags. Conclusion: No bags are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  21. 21.Statements: All rings are keys. Some caps are keys. Conclusion: All caps are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  22. 22.Statements: Some caps are keys. Some cups are caps. Conclusion: No cups are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  23. 23.Statements: All rings are coins. All coins are boxes. Conclusion: Some rings are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  24. 24.Statements: All keys are books. Some shoes are books. Conclusion: No keys are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  25. 25.Statements: No shoes are rings. All keys are shoes. Conclusion: Some keys are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  26. 26.Statements: All bags are bells. All bells are pens. Conclusion: All pens are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  27. 27.Statements: All bells are books. Some bells are balls. Conclusion: Some balls are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  28. 28.Statements: All bells are pens. No pens are bags. Conclusion: All bags are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  29. 29.Statements: All books are toys. Some bags are toys. Conclusion: All books are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  30. 30.Statements: All kites are bells. All kites are shoes. Conclusion: No bells are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  31. 31.Statements: Some books are shoes. All books are pens. Conclusion: No shoes are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  32. 32.Statements: All coins are boxes. No boxes are kites. Conclusion: No coins are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  33. 33.Statements: All caps are cups. All shoes are caps. Conclusion: All cups are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  34. 34.Statements: Some toys are balls. All bells are balls. Conclusion: All toys are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  35. 35.Statements: All pens are boxes. Some books are boxes. Conclusion: No books are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  36. 36.Statements: All bells are rings. Some bags are rings. Conclusion: No bells are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  37. 37.Statements: All keys are bags. All pens are keys. Conclusion: All pens are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  38. 38.Statements: No balls are kites. All balls are books. Conclusion: Some kites are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  39. 39.Statements: No shoes are toys. All shoes are rings. Conclusion: No rings are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  40. 40.Statements: All boxes are rings. Some coins are rings. Conclusion: Some coins are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No

Answer key

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

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