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Syllogism Worksheet

Logical reasoning lesson 21: Syllogisms · Set 53 · 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 coins are balls. Some coins are rings. Conclusion: Some rings are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  2. 2.Statements: No cups are rings. Some rings are bags. Conclusion: All bags are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  3. 3.Statements: Some books are coins. All coins are caps. Conclusion: No caps are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  4. 4.Statements: All kites are keys. No kites are toys. Conclusion: Some toys are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  5. 5.Statements: Some caps are books. All keys are books. Conclusion: Some keys are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  6. 6.Statements: All rings are shoes. Some rings are books. Conclusion: Some shoes are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  7. 7.Statements: No bags are caps. Some bags are toys. Conclusion: Some caps are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  8. 8.Statements: No toys are boxes. All bags are toys. Conclusion: All bags are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  9. 9.Statements: All books are toys. No boxes are toys. Conclusion: All books are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  10. 10.Statements: Some coins are boxes. All boxes are shoes. Conclusion: Some shoes are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  11. 11.Statements: Some coins are rings. All coins are cups. Conclusion: All rings are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  12. 12.Statements: No boxes are pens. Some caps are pens. Conclusion: Some caps are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  13. 13.Statements: All pens are shoes. All balls are pens. Conclusion: Some balls are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  14. 14.Statements: All keys are bags. No bags are caps. Conclusion: Some caps are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  15. 15.Statements: All kites are caps. Some caps are bags. Conclusion: Some bags are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  16. 16.Statements: All balls are kites. All bags are balls. Conclusion: No kites are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  17. 17.Statements: Some keys are rings. All pens are keys. Conclusion: No pens are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  18. 18.Statements: All boxes are rings. All caps are boxes. Conclusion: Some rings are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  19. 19.Statements: No books are keys. No keys are cups. Conclusion: Some cups are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  20. 20.Statements: Some shoes are balls. No balls are keys. Conclusion: No shoes are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  21. 21.Statements: Some kites are bells. All bags are kites. Conclusion: All bags are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  22. 22.Statements: No caps are bags. Some bags are pens. Conclusion: Some pens are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  23. 23.Statements: Some coins are keys. All coins are boxes. Conclusion: No boxes are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  24. 24.Statements: No shoes are caps. All balls are caps. Conclusion: Some shoes are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  25. 25.Statements: No pens are books. No pens are keys. Conclusion: No keys are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  26. 26.Statements: Some bags are shoes. Some bells are shoes. Conclusion: All bells are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  27. 27.Statements: Some boxes are kites. All kites are pens. Conclusion: Some boxes are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  28. 28.Statements: All books are shoes. No books are caps. Conclusion: No shoes are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  29. 29.Statements: Some pens are bags. No bags are caps. Conclusion: No caps are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  30. 30.Statements: Some books are rings. All rings are cups. Conclusion: No cups are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  31. 31.Statements: Some bags are books. No balls are books. Conclusion: All bags are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  32. 32.Statements: All cups are books. All books are boxes. Conclusion: No cups are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  33. 33.Statements: No books are cups. All pens are cups. Conclusion: No books are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  34. 34.Statements: No bells are boxes. No cups are bells. Conclusion: All boxes are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  35. 35.Statements: No boxes are bags. All shoes are boxes. Conclusion: No bags are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  36. 36.Statements: All caps are pens. All pens are bags. Conclusion: No caps are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  37. 37.Statements: No balls are cups. Some books are balls. Conclusion: All books are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  38. 38.Statements: All coins are bells. No bells are balls. Conclusion: No coins are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  39. 39.Statements: All bags are books. All books are cups. Conclusion: No bags are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  40. 40.Statements: All bells are coins. No coins are keys. Conclusion: No keys are bells. 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. Yes
  14. No
  15. No
  16. No
  17. No
  18. Yes
  19. No
  20. No
  21. No
  22. No
  23. No
  24. No
  25. No
  26. No
  27. Yes
  28. No
  29. No
  30. No
  31. No
  32. No
  33. Yes
  34. No
  35. Yes
  36. No
  37. No
  38. Yes
  39. No
  40. Yes

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