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Syllogism Worksheet

Logical reasoning lesson 21: Syllogisms · Set 367 · 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 balls are cups. All cups are toys. Conclusion: No toys are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  2. 2.Statements: No caps are boxes. All boxes are keys. Conclusion: Some keys are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  3. 3.Statements: All rings are shoes. Some rings are bells. Conclusion: Some bells are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  4. 4.Statements: All bells are pens. No pens are books. Conclusion: No books are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  5. 5.Statements: Some bells are cups. All balls are bells. Conclusion: Some cups are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  6. 6.Statements: All keys are rings. No coins are rings. Conclusion: No coins are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  7. 7.Statements: All coins are boxes. All coins are pens. Conclusion: Some boxes are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  8. 8.Statements: No books are pens. Some pens are rings. Conclusion: All rings are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  9. 9.Statements: All pens are books. Some rings are pens. Conclusion: No rings are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  10. 10.Statements: Some toys are coins. No coins are keys. Conclusion: No keys are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  11. 11.Statements: Some caps are coins. No caps are keys. Conclusion: All keys are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  12. 12.Statements: All keys are shoes. Some coins are shoes. Conclusion: All keys are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  13. 13.Statements: All boxes are bells. No bells are balls. Conclusion: No balls are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  14. 14.Statements: Some kites are coins. Some kites are bells. Conclusion: Some coins are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  15. 15.Statements: No caps are books. All shoes are caps. Conclusion: Some books are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  16. 16.Statements: No caps are books. All coins are books. Conclusion: Some coins are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  17. 17.Statements: All books are coins. All coins are boxes. Conclusion: All books are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  18. 18.Statements: All bells are rings. All toys are rings. Conclusion: Some toys are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  19. 19.Statements: No bells are coins. No bags are bells. Conclusion: All coins are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  20. 20.Statements: No boxes are toys. All boxes are bags. Conclusion: All toys are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  21. 21.Statements: All bags are keys. No bags are coins. Conclusion: Some coins are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  22. 22.Statements: All books are balls. Some books are caps. Conclusion: Some balls are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  23. 23.Statements: All kites are bags. Some boxes are bags. Conclusion: All boxes are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  24. 24.Statements: Some keys are pens. All keys are books. Conclusion: Some pens are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  25. 25.Statements: Some bags are books. All books are bells. Conclusion: Some bags are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  26. 26.Statements: Some shoes are kites. All kites are books. Conclusion: All shoes are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  27. 27.Statements: All coins are cups. All bells are cups. Conclusion: No bells are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  28. 28.Statements: All cups are coins. No coins are rings. Conclusion: All cups are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  29. 29.Statements: All pens are cups. All bags are cups. Conclusion: All pens are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  30. 30.Statements: All caps are pens. All cups are caps. Conclusion: No cups are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  31. 31.Statements: All caps are coins. All caps are pens. Conclusion: All pens are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  32. 32.Statements: Some keys are rings. All keys are caps. Conclusion: Some caps are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  33. 33.Statements: All shoes are boxes. No bags are boxes. Conclusion: All bags are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  34. 34.Statements: All caps are bells. Some coins are caps. Conclusion: No coins are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  35. 35.Statements: No toys are pens. No toys are bells. Conclusion: All pens are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  36. 36.Statements: No bells are bags. Some coins are bells. Conclusion: Some bags are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  37. 37.Statements: All toys are bags. All bags are books. Conclusion: Some toys are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  38. 38.Statements: All kites are bags. No rings are kites. Conclusion: Some rings are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  39. 39.Statements: All kites are toys. No caps are toys. Conclusion: No kites are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  40. 40.Statements: Some keys are shoes. All shoes are books. Conclusion: No books are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No

Answer key

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

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