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Syllogism Worksheet

Logical reasoning lesson 21: Syllogisms · Set 383 · 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 books are coins. No cups are coins. Conclusion: No cups are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  2. 2.Statements: Some keys are bells. Some keys are boxes. Conclusion: No bells are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  3. 3.Statements: No rings are keys. No cups are rings. Conclusion: No cups are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  4. 4.Statements: All bags are coins. All balls are bags. Conclusion: All coins are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  5. 5.Statements: All bells are caps. No toys are bells. Conclusion: All caps are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  6. 6.Statements: Some pens are keys. No pens are kites. Conclusion: No keys are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  7. 7.Statements: All boxes are keys. All toys are boxes. Conclusion: Some toys are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  8. 8.Statements: No toys are books. Some boxes are toys. Conclusion: No boxes are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  9. 9.Statements: All keys are pens. All pens are balls. Conclusion: All keys are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  10. 10.Statements: No bells are kites. All bells are books. Conclusion: No kites are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  11. 11.Statements: No shoes are keys. All shoes are kites. Conclusion: All kites are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  12. 12.Statements: All kites are books. No toys are books. Conclusion: No kites are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  13. 13.Statements: All books are pens. All books are boxes. Conclusion: Some boxes are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  14. 14.Statements: All rings are kites. All caps are rings. Conclusion: All caps are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  15. 15.Statements: All keys are shoes. All bells are keys. Conclusion: No bells are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  16. 16.Statements: All bags are books. Some bags are kites. Conclusion: No books are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  17. 17.Statements: All shoes are coins. Some coins are kites. Conclusion: No kites are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  18. 18.Statements: All kites are cups. All bells are cups. Conclusion: Some kites are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  19. 19.Statements: Some cups are bells. All balls are cups. Conclusion: All bells are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  20. 20.Statements: All books are rings. Some books are coins. Conclusion: Some coins are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  21. 21.Statements: All cups are bells. No bags are bells. Conclusion: No bags are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  22. 22.Statements: Some keys are bags. No bags are toys. Conclusion: No keys are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  23. 23.Statements: All rings are balls. No balls are coins. Conclusion: All coins are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  24. 24.Statements: All kites are balls. No shoes are kites. Conclusion: All shoes are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  25. 25.Statements: All boxes are balls. No keys are boxes. Conclusion: No keys are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  26. 26.Statements: Some balls are books. All balls are toys. Conclusion: Some books are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  27. 27.Statements: All caps are balls. All caps are shoes. Conclusion: No balls are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  28. 28.Statements: All kites are caps. Some kites are rings. Conclusion: All caps are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  29. 29.Statements: Some bags are pens. All pens are kites. Conclusion: Some bags are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  30. 30.Statements: No toys are pens. All toys are books. Conclusion: Some books are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  31. 31.Statements: All keys are balls. All keys are caps. Conclusion: No balls are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  32. 32.Statements: Some keys are caps. All caps are coins. Conclusion: Some coins are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  33. 33.Statements: Some toys are cups. No books are toys. Conclusion: All cups are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  34. 34.Statements: Some balls are pens. Some coins are pens. Conclusion: No balls are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  35. 35.Statements: No kites are pens. All kites are boxes. Conclusion: Some boxes are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  36. 36.Statements: All books are boxes. All caps are books. Conclusion: Some boxes are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  37. 37.Statements: All rings are books. Some rings are boxes. Conclusion: All boxes are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  38. 38.Statements: Some coins are bells. Some bells are pens. Conclusion: Some pens are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  39. 39.Statements: Some bells are toys. All boxes are bells. Conclusion: All toys are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  40. 40.Statements: All keys are kites. All kites are toys. Conclusion: All toys are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No

Answer key

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

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