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Syllogism Worksheet

Logical reasoning lesson 21: Syllogisms · Set 318 · 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 shoes. All bags are shoes. Conclusion: No bags are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  2. 2.Statements: All shoes are keys. All cups are keys. Conclusion: All shoes are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  3. 3.Statements: Some pens are bags. All bags are balls. Conclusion: Some pens are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  4. 4.Statements: No cups are rings. No caps are cups. Conclusion: All caps are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  5. 5.Statements: All balls are caps. Some toys are caps. Conclusion: Some toys are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  6. 6.Statements: All toys are pens. All coins are toys. Conclusion: No pens are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  7. 7.Statements: No keys are caps. All keys are bells. Conclusion: Some caps are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  8. 8.Statements: All bags are keys. All coins are bags. Conclusion: No keys are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  9. 9.Statements: All books are rings. All shoes are books. Conclusion: Some rings are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  10. 10.Statements: No toys are bags. All books are toys. Conclusion: No bags are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  11. 11.Statements: Some pens are coins. Some bags are coins. Conclusion: All pens are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  12. 12.Statements: Some coins are books. All coins are keys. Conclusion: Some books are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  13. 13.Statements: Some pens are coins. Some kites are coins. Conclusion: Some kites are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  14. 14.Statements: Some cups are toys. No toys are books. Conclusion: All cups are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  15. 15.Statements: Some boxes are coins. Some coins are bags. Conclusion: All bags are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  16. 16.Statements: All keys are caps. No coins are keys. Conclusion: No coins are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  17. 17.Statements: No rings are coins. All coins are keys. Conclusion: Some keys are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  18. 18.Statements: Some kites are bells. No bells are rings. Conclusion: No rings are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  19. 19.Statements: No rings are bags. Some bags are caps. Conclusion: All rings are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  20. 20.Statements: No toys are shoes. Some keys are toys. Conclusion: No keys are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  21. 21.Statements: All coins are bells. No pens are bells. Conclusion: No coins are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  22. 22.Statements: Some caps are cups. Some keys are cups. Conclusion: Some caps are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  23. 23.Statements: All cups are toys. All toys are caps. Conclusion: All caps are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  24. 24.Statements: All toys are pens. Some boxes are toys. Conclusion: Some pens are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  25. 25.Statements: All coins are pens. No cups are pens. Conclusion: Some coins are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  26. 26.Statements: Some rings are bags. No bags are pens. Conclusion: Some rings are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  27. 27.Statements: Some kites are bags. No books are kites. Conclusion: All bags are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  28. 28.Statements: All cups are pens. Some rings are cups. Conclusion: All pens are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  29. 29.Statements: All rings are toys. No rings are books. Conclusion: Some books are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  30. 30.Statements: Some bells are pens. All balls are bells. Conclusion: No pens are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  31. 31.Statements: Some kites are shoes. Some shoes are balls. Conclusion: Some kites are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  32. 32.Statements: No rings are boxes. No cups are rings. Conclusion: All boxes are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  33. 33.Statements: All shoes are bags. All shoes are keys. Conclusion: Some keys are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  34. 34.Statements: All boxes are caps. All books are boxes. Conclusion: Some caps are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  35. 35.Statements: Some bells are coins. No coins are shoes. Conclusion: Some bells are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  36. 36.Statements: Some pens are bells. All keys are pens. Conclusion: All bells are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  37. 37.Statements: All coins are caps. Some caps are bells. Conclusion: All coins are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  38. 38.Statements: All boxes are balls. All keys are balls. Conclusion: No keys are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  39. 39.Statements: All cups are pens. All cups are shoes. Conclusion: No shoes are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  40. 40.Statements: All boxes are coins. No bells are coins. Conclusion: No boxes are bells. 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. No
  8. No
  9. Yes
  10. Yes
  11. No
  12. Yes
  13. No
  14. No
  15. No
  16. No
  17. No
  18. No
  19. No
  20. No
  21. Yes
  22. No
  23. No
  24. Yes
  25. No
  26. No
  27. No
  28. No
  29. No
  30. No
  31. No
  32. No
  33. Yes
  34. Yes
  35. No
  36. No
  37. No
  38. No
  39. No
  40. Yes

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