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Syllogism Worksheet

Logical reasoning lesson 21: Syllogisms · Set 192 · 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 bags are kites. All kites are coins. Conclusion: All coins are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  2. 2.Statements: No bags are boxes. All boxes are kites. Conclusion: No bags are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  3. 3.Statements: Some caps are pens. No caps are keys. Conclusion: No pens are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  4. 4.Statements: All boxes are balls. All boxes are books. Conclusion: Some balls are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  5. 5.Statements: All cups are books. All caps are cups. Conclusion: Some books are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  6. 6.Statements: No pens are books. All rings are books. Conclusion: No pens are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  7. 7.Statements: No cups are rings. No rings are caps. Conclusion: Some cups are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  8. 8.Statements: No rings are books. All books are boxes. Conclusion: Some boxes are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  9. 9.Statements: No books are coins. All rings are coins. Conclusion: All rings are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  10. 10.Statements: No kites are books. No bags are books. Conclusion: Some kites are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  11. 11.Statements: Some boxes are cups. No cups are kites. Conclusion: Some boxes are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  12. 12.Statements: All shoes are bells. All bells are bags. Conclusion: All bags are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  13. 13.Statements: Some coins are books. Some books are boxes. Conclusion: All coins are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  14. 14.Statements: Some bags are shoes. Some books are bags. Conclusion: All books are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  15. 15.Statements: Some bells are boxes. Some coins are boxes. Conclusion: All coins are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  16. 16.Statements: Some books are bells. Some bells are keys. Conclusion: All books are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  17. 17.Statements: All cups are toys. No caps are cups. Conclusion: Some toys are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  18. 18.Statements: Some books are kites. Some books are cups. Conclusion: All kites are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  19. 19.Statements: All cups are rings. Some pens are rings. Conclusion: All cups are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  20. 20.Statements: No bells are shoes. No shoes are bags. Conclusion: Some bags are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  21. 21.Statements: Some shoes are books. No books are rings. Conclusion: Some rings are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  22. 22.Statements: No boxes are shoes. Some shoes are bells. Conclusion: No bells are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  23. 23.Statements: Some boxes are caps. All caps are toys. Conclusion: Some boxes are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  24. 24.Statements: Some pens are bags. All bags are bells. Conclusion: No bells are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  25. 25.Statements: No boxes are pens. All bags are boxes. Conclusion: All bags are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  26. 26.Statements: Some bags are pens. All pens are rings. Conclusion: Some bags are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  27. 27.Statements: All cups are balls. Some balls are bells. Conclusion: Some bells are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  28. 28.Statements: All shoes are rings. All bags are shoes. Conclusion: All rings are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  29. 29.Statements: No books are kites. All toys are kites. Conclusion: No books are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  30. 30.Statements: No coins are bags. No bags are caps. Conclusion: Some caps are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  31. 31.Statements: All bells are keys. All kites are keys. Conclusion: All kites are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  32. 32.Statements: No balls are books. Some books are caps. Conclusion: No caps are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  33. 33.Statements: No pens are balls. All keys are balls. Conclusion: Some pens are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  34. 34.Statements: No cups are kites. No kites are balls. Conclusion: No cups are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  35. 35.Statements: No books are balls. No bags are balls. Conclusion: No bags are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  36. 36.Statements: No rings are boxes. All kites are boxes. Conclusion: No rings are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  37. 37.Statements: No bags are kites. All bags are books. Conclusion: Some books are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  38. 38.Statements: No books are kites. No pens are kites. Conclusion: No pens are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  39. 39.Statements: All keys are balls. Some keys are coins. Conclusion: Some coins are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  40. 40.Statements: Some kites are pens. All pens are balls. Conclusion: No balls are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No

Answer key

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

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