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Syllogism Worksheet

Logical reasoning lesson 21: Syllogisms · Set 84 · 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 books are balls. No balls are coins. Conclusion: All coins are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  2. 2.Statements: All boxes are shoes. Some boxes are kites. Conclusion: No shoes are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  3. 3.Statements: Some boxes are kites. Some pens are kites. Conclusion: All boxes are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  4. 4.Statements: No bells are shoes. No shoes are balls. Conclusion: No balls are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  5. 5.Statements: Some caps are bags. Some caps are balls. Conclusion: All balls are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  6. 6.Statements: No bells are books. All rings are bells. Conclusion: No rings are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  7. 7.Statements: Some kites are books. Some caps are books. Conclusion: No kites are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  8. 8.Statements: Some books are toys. Some toys are bags. Conclusion: Some bags are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  9. 9.Statements: All boxes are bells. No books are bells. Conclusion: Some boxes are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  10. 10.Statements: All books are rings. Some books are boxes. Conclusion: Some rings are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  11. 11.Statements: All shoes are boxes. Some shoes are books. Conclusion: All books are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  12. 12.Statements: All cups are shoes. No caps are shoes. Conclusion: All caps are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  13. 13.Statements: Some coins are kites. No bags are kites. Conclusion: All coins are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  14. 14.Statements: No caps are bells. All shoes are bells. Conclusion: Some caps are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  15. 15.Statements: No bags are caps. All boxes are caps. Conclusion: No bags are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  16. 16.Statements: No boxes are rings. No books are boxes. Conclusion: Some books are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  17. 17.Statements: No shoes are keys. No caps are shoes. Conclusion: All caps are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  18. 18.Statements: No coins are toys. All books are toys. Conclusion: Some coins are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  19. 19.Statements: All shoes are boxes. Some balls are shoes. Conclusion: No boxes are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  20. 20.Statements: No rings are bells. All bags are rings. Conclusion: No bags are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  21. 21.Statements: All boxes are bells. All bags are boxes. Conclusion: Some bells are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  22. 22.Statements: All kites are bags. Some kites are pens. Conclusion: Some bags are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  23. 23.Statements: Some shoes are boxes. No coins are shoes. Conclusion: No coins are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  24. 24.Statements: Some coins are shoes. All toys are coins. Conclusion: No shoes are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  25. 25.Statements: No pens are shoes. All pens are bags. Conclusion: Some shoes are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  26. 26.Statements: All books are pens. Some books are bells. Conclusion: Some bells are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  27. 27.Statements: All coins are pens. All shoes are coins. Conclusion: All pens are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  28. 28.Statements: All toys are shoes. All shoes are caps. Conclusion: Some toys are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  29. 29.Statements: All books are toys. Some balls are books. Conclusion: Some balls are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  30. 30.Statements: Some cups are kites. All toys are kites. Conclusion: All cups are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  31. 31.Statements: Some kites are coins. No coins are cups. Conclusion: Some cups are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  32. 32.Statements: All balls are kites. All books are kites. Conclusion: Some balls are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  33. 33.Statements: All kites are pens. Some pens are books. Conclusion: No kites are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  34. 34.Statements: No toys are kites. Some cups are toys. Conclusion: No cups are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  35. 35.Statements: No kites are cups. No cups are books. Conclusion: No books are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  36. 36.Statements: All toys are caps. No bells are toys. Conclusion: Some bells are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  37. 37.Statements: All cups are kites. All keys are kites. Conclusion: All cups are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  38. 38.Statements: All shoes are pens. Some bells are pens. Conclusion: Some bells are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  39. 39.Statements: All books are coins. No coins are bags. Conclusion: No books are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  40. 40.Statements: No cups are shoes. All kites are shoes. Conclusion: All cups are kites. 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. Yes
  7. No
  8. No
  9. No
  10. Yes
  11. No
  12. No
  13. No
  14. No
  15. Yes
  16. No
  17. No
  18. No
  19. No
  20. Yes
  21. Yes
  22. Yes
  23. No
  24. No
  25. No
  26. Yes
  27. No
  28. Yes
  29. Yes
  30. No
  31. No
  32. No
  33. No
  34. No
  35. No
  36. No
  37. No
  38. No
  39. Yes
  40. No

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