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Syllogism Worksheet

Logical reasoning lesson 21: Syllogisms · Set 285 · 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 shoes are keys. Some boxes are keys. Conclusion: Some boxes are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  2. 2.Statements: Some balls are caps. All rings are caps. Conclusion: All balls are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  3. 3.Statements: No pens are keys. All coins are pens. Conclusion: No coins are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  4. 4.Statements: All shoes are bags. All shoes are books. Conclusion: No bags are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  5. 5.Statements: Some keys are cups. No keys are pens. Conclusion: All pens are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  6. 6.Statements: Some boxes are coins. All boxes are bells. Conclusion: No bells are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  7. 7.Statements: All toys are keys. All toys are shoes. Conclusion: Some shoes are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  8. 8.Statements: All balls are rings. Some rings are books. Conclusion: All books are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  9. 9.Statements: All books are pens. All kites are pens. Conclusion: All kites are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  10. 10.Statements: Some caps are rings. No bells are rings. Conclusion: All bells are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  11. 11.Statements: Some coins are caps. Some coins are books. Conclusion: Some caps are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  12. 12.Statements: No coins are kites. Some books are coins. Conclusion: All kites are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  13. 13.Statements: All bells are books. Some books are pens. Conclusion: All bells are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  14. 14.Statements: Some boxes are keys. Some keys are rings. Conclusion: No boxes are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  15. 15.Statements: All keys are toys. All keys are coins. Conclusion: No coins are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  16. 16.Statements: All toys are keys. Some keys are shoes. Conclusion: Some toys are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  17. 17.Statements: Some shoes are toys. All toys are keys. Conclusion: Some keys are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  18. 18.Statements: All cups are bells. Some cups are keys. Conclusion: Some bells are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  19. 19.Statements: Some cups are caps. All caps are pens. Conclusion: Some pens are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  20. 20.Statements: All rings are keys. No books are keys. Conclusion: No books are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  21. 21.Statements: All toys are bells. All bells are bags. Conclusion: All toys are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  22. 22.Statements: No bags are cups. All boxes are cups. Conclusion: All boxes are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  23. 23.Statements: No boxes are cups. All coins are cups. Conclusion: No coins are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  24. 24.Statements: All balls are bags. All shoes are bags. Conclusion: All shoes are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  25. 25.Statements: All toys are coins. No coins are balls. Conclusion: Some toys are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  26. 26.Statements: All kites are coins. Some rings are kites. Conclusion: All coins are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  27. 27.Statements: Some keys are books. No keys are bags. Conclusion: All bags are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  28. 28.Statements: No cups are kites. No cups are coins. Conclusion: Some coins are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  29. 29.Statements: Some books are cups. Some books are toys. Conclusion: Some cups are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  30. 30.Statements: Some toys are bags. No bags are pens. Conclusion: Some pens are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  31. 31.Statements: All rings are toys. All rings are bells. Conclusion: Some bells are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  32. 32.Statements: Some keys are books. Some keys are shoes. Conclusion: Some books are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  33. 33.Statements: No balls are bells. All boxes are bells. Conclusion: No balls are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  34. 34.Statements: Some keys are bags. All kites are keys. Conclusion: All bags are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  35. 35.Statements: All boxes are pens. All boxes are shoes. Conclusion: No shoes are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  36. 36.Statements: No bells are bags. Some bells are kites. Conclusion: No bags are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  37. 37.Statements: All coins are caps. All coins are bags. Conclusion: Some caps are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  38. 38.Statements: All shoes are kites. Some keys are shoes. Conclusion: Some keys are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  39. 39.Statements: All pens are books. Some balls are books. Conclusion: No balls are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  40. 40.Statements: All shoes are books. Some books are boxes. Conclusion: All shoes are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No

Answer key

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

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