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Syllogism Worksheet

Logical reasoning lesson 21: Syllogisms · Set 354 · 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 toys are bells. All toys are shoes. Conclusion: All bells are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  2. 2.Statements: All boxes are caps. All caps are pens. Conclusion: Some pens are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  3. 3.Statements: All boxes are caps. All caps are coins. Conclusion: All boxes are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  4. 4.Statements: No bells are books. All coins are books. Conclusion: All bells are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  5. 5.Statements: No keys are bells. All books are bells. Conclusion: Some books are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  6. 6.Statements: All balls are pens. Some balls are bags. Conclusion: All pens are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  7. 7.Statements: All pens are rings. No books are rings. Conclusion: No books are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  8. 8.Statements: All balls are bells. All bells are keys. Conclusion: All keys are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  9. 9.Statements: No balls are bags. All books are bags. Conclusion: All books are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  10. 10.Statements: Some keys are cups. No bags are cups. Conclusion: All bags are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  11. 11.Statements: Some pens are toys. All pens are boxes. Conclusion: Some boxes are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  12. 12.Statements: No bells are shoes. Some caps are shoes. Conclusion: Some bells are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  13. 13.Statements: No toys are caps. All balls are toys. Conclusion: All caps are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  14. 14.Statements: All shoes are toys. All boxes are toys. Conclusion: All shoes are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  15. 15.Statements: All rings are bags. Some toys are rings. Conclusion: All toys are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  16. 16.Statements: No toys are bells. All books are toys. Conclusion: Some bells are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  17. 17.Statements: No rings are kites. All caps are rings. Conclusion: No kites are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  18. 18.Statements: Some boxes are kites. All caps are kites. Conclusion: No boxes are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  19. 19.Statements: All pens are coins. No kites are coins. Conclusion: Some kites are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  20. 20.Statements: No rings are cups. All shoes are cups. Conclusion: Some rings are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  21. 21.Statements: All caps are bags. Some caps are shoes. Conclusion: Some bags are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  22. 22.Statements: No kites are caps. No kites are pens. Conclusion: All pens are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  23. 23.Statements: All coins are keys. No shoes are coins. Conclusion: All keys are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  24. 24.Statements: No toys are pens. Some pens are coins. Conclusion: Some toys are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  25. 25.Statements: Some pens are bags. No pens are boxes. Conclusion: All boxes are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  26. 26.Statements: No pens are cups. All books are cups. Conclusion: All books are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  27. 27.Statements: Some toys are kites. All kites are bells. Conclusion: Some bells are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  28. 28.Statements: All balls are bags. No bags are keys. Conclusion: All balls are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  29. 29.Statements: All books are caps. Some books are coins. Conclusion: Some coins are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  30. 30.Statements: Some boxes are bags. All balls are bags. Conclusion: All boxes are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  31. 31.Statements: No cups are bags. No bags are rings. Conclusion: All rings are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  32. 32.Statements: Some bags are shoes. No shoes are pens. Conclusion: All bags are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  33. 33.Statements: No boxes are kites. All kites are shoes. Conclusion: Some shoes are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  34. 34.Statements: No rings are coins. All kites are rings. Conclusion: No kites are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  35. 35.Statements: No caps are cups. Some bags are cups. Conclusion: All bags are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  36. 36.Statements: Some books are bells. All books are boxes. Conclusion: Some boxes are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  37. 37.Statements: All books are pens. Some cups are books. Conclusion: Some pens are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  38. 38.Statements: No bells are cups. Some bells are coins. Conclusion: No cups are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  39. 39.Statements: Some caps are kites. All kites are books. Conclusion: No caps are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  40. 40.Statements: All books are bags. All shoes are books. Conclusion: Some bags are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No

Answer key

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

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