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Syllogism Worksheet

Logical reasoning lesson 21: Syllogisms · Set 260 · 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 caps. All boxes are toys. Conclusion: No caps are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  2. 2.Statements: Some coins are books. All coins are cups. Conclusion: Some cups are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  3. 3.Statements: No books are shoes. All books are bags. Conclusion: Some shoes are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  4. 4.Statements: All pens are bells. All bells are kites. Conclusion: No kites are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  5. 5.Statements: No cups are pens. All pens are balls. Conclusion: Some balls are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  6. 6.Statements: All caps are books. All books are bells. Conclusion: Some caps are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  7. 7.Statements: All bags are caps. Some toys are caps. Conclusion: Some bags are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  8. 8.Statements: All toys are bells. Some toys are bags. Conclusion: All bells are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  9. 9.Statements: All kites are cups. Some keys are kites. Conclusion: No keys are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  10. 10.Statements: All rings are kites. No coins are kites. Conclusion: Some rings are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  11. 11.Statements: No shoes are pens. No balls are shoes. Conclusion: All balls are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  12. 12.Statements: Some pens are coins. All toys are coins. Conclusion: Some toys are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  13. 13.Statements: All bells are pens. Some bells are rings. Conclusion: No rings are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  14. 14.Statements: No pens are bags. All toys are bags. Conclusion: No toys are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  15. 15.Statements: No keys are cups. All toys are cups. Conclusion: All keys are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  16. 16.Statements: All bags are boxes. Some caps are bags. Conclusion: Some caps are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  17. 17.Statements: All bells are boxes. No coins are boxes. Conclusion: No bells are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  18. 18.Statements: Some cups are pens. All cups are bags. Conclusion: All pens are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  19. 19.Statements: All balls are bells. No bells are coins. Conclusion: All balls are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  20. 20.Statements: No balls are cups. All rings are cups. Conclusion: No rings are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  21. 21.Statements: No keys are pens. All keys are balls. Conclusion: Some pens are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  22. 22.Statements: All toys are keys. Some keys are bells. Conclusion: All bells are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  23. 23.Statements: Some caps are pens. Some pens are boxes. Conclusion: No boxes are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  24. 24.Statements: Some cups are shoes. All shoes are coins. Conclusion: Some cups are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  25. 25.Statements: No bells are books. All books are cups. Conclusion: All bells are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  26. 26.Statements: No rings are shoes. All shoes are coins. Conclusion: All coins are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  27. 27.Statements: No toys are boxes. Some toys are books. Conclusion: All books are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  28. 28.Statements: All coins are toys. All pens are coins. Conclusion: All pens are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  29. 29.Statements: Some books are bells. No bells are keys. Conclusion: No books are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  30. 30.Statements: All balls are toys. No boxes are balls. Conclusion: No toys are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  31. 31.Statements: No coins are rings. No cups are rings. Conclusion: All coins are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  32. 32.Statements: All boxes are shoes. Some boxes are coins. Conclusion: Some coins are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  33. 33.Statements: All caps are bells. All books are caps. Conclusion: All books are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  34. 34.Statements: No caps are shoes. All bags are shoes. Conclusion: No bags are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  35. 35.Statements: All bags are bells. All bells are pens. Conclusion: Some pens are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  36. 36.Statements: Some boxes are shoes. No rings are shoes. Conclusion: No boxes are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  37. 37.Statements: All kites are pens. Some pens are bags. Conclusion: All bags are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  38. 38.Statements: No cups are boxes. Some shoes are cups. Conclusion: No shoes are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  39. 39.Statements: Some toys are books. All toys are balls. Conclusion: Some balls are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  40. 40.Statements: All caps are books. All boxes are caps. Conclusion: All boxes are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No

Answer key

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

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