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Syllogism Worksheet

Logical reasoning lesson 21: Syllogisms · Set 339 · 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 balls are cups. All cups are bags. Conclusion: No bags are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  2. 2.Statements: Some toys are pens. No kites are toys. Conclusion: Some kites are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  3. 3.Statements: Some bags are rings. No shoes are bags. Conclusion: All shoes are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  4. 4.Statements: Some caps are boxes. No caps are bells. Conclusion: No bells are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  5. 5.Statements: All bags are rings. All balls are rings. Conclusion: All balls are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  6. 6.Statements: No caps are coins. No caps are boxes. Conclusion: No boxes are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  7. 7.Statements: All toys are cups. No cups are bags. Conclusion: Some bags are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  8. 8.Statements: No kites are rings. Some rings are pens. Conclusion: Some kites are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  9. 9.Statements: Some boxes are bells. All boxes are keys. Conclusion: No keys are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  10. 10.Statements: Some books are bags. Some bags are pens. Conclusion: Some pens are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  11. 11.Statements: Some pens are books. All coins are pens. Conclusion: Some books are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  12. 12.Statements: Some shoes are coins. No shoes are bells. Conclusion: Some coins are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  13. 13.Statements: No rings are caps. Some rings are kites. Conclusion: Some kites are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  14. 14.Statements: Some shoes are bags. Some kites are shoes. Conclusion: All kites are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  15. 15.Statements: No caps are shoes. All toys are shoes. Conclusion: No toys are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  16. 16.Statements: No bells are rings. All coins are bells. Conclusion: No rings are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  17. 17.Statements: All books are toys. Some toys are balls. Conclusion: All balls are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  18. 18.Statements: No toys are keys. All pens are toys. Conclusion: No pens are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  19. 19.Statements: Some keys are caps. All caps are bells. Conclusion: Some keys are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  20. 20.Statements: All cups are boxes. All bells are boxes. Conclusion: Some cups are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  21. 21.Statements: All balls are kites. All rings are kites. Conclusion: All rings are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  22. 22.Statements: Some rings are coins. No shoes are coins. Conclusion: Some rings are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  23. 23.Statements: All bells are shoes. All shoes are coins. Conclusion: All coins are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  24. 24.Statements: Some kites are balls. No boxes are balls. Conclusion: No boxes are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  25. 25.Statements: All balls are coins. All coins are bells. Conclusion: All balls are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  26. 26.Statements: All boxes are bags. All boxes are books. Conclusion: All books are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  27. 27.Statements: All kites are bells. Some kites are bags. Conclusion: No bells are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  28. 28.Statements: No pens are balls. All bags are pens. Conclusion: All balls are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  29. 29.Statements: Some bells are books. Some coins are books. Conclusion: Some bells are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  30. 30.Statements: All bells are keys. All bells are shoes. Conclusion: Some keys are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  31. 31.Statements: Some cups are kites. Some coins are kites. Conclusion: All coins are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  32. 32.Statements: All books are kites. All kites are toys. Conclusion: Some books are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  33. 33.Statements: No kites are books. Some kites are boxes. Conclusion: All boxes are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  34. 34.Statements: All bags are kites. All bags are cups. Conclusion: All kites are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  35. 35.Statements: Some coins are caps. Some boxes are caps. Conclusion: All coins are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  36. 36.Statements: Some books are bags. No books are balls. Conclusion: All bags are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  37. 37.Statements: All balls are boxes. All balls are shoes. Conclusion: Some shoes are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  38. 38.Statements: Some balls are toys. Some keys are balls. Conclusion: No toys are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  39. 39.Statements: Some boxes are bags. Some boxes are kites. Conclusion: Some kites are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  40. 40.Statements: All bags are books. All books are cups. Conclusion: All bags are cups. 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. No
  10. No
  11. No
  12. No
  13. No
  14. No
  15. Yes
  16. Yes
  17. No
  18. Yes
  19. Yes
  20. No
  21. No
  22. No
  23. No
  24. No
  25. Yes
  26. No
  27. No
  28. No
  29. No
  30. Yes
  31. No
  32. Yes
  33. No
  34. No
  35. No
  36. No
  37. Yes
  38. No
  39. No
  40. Yes

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