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Syllogism Worksheet

Logical reasoning lesson 21: Syllogisms · Set 364 · 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 balls are keys. All keys are books. Conclusion: No books are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  2. 2.Statements: All rings are balls. All bells are rings. Conclusion: All bells are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  3. 3.Statements: All rings are caps. All balls are rings. Conclusion: No balls are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  4. 4.Statements: All balls are pens. All pens are bells. Conclusion: All bells are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  5. 5.Statements: All bells are balls. Some balls are toys. Conclusion: Some toys are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  6. 6.Statements: Some coins are shoes. All shoes are toys. Conclusion: Some toys are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  7. 7.Statements: Some books are rings. No coins are rings. Conclusion: Some coins are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  8. 8.Statements: Some rings are kites. All kites are pens. Conclusion: Some pens are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  9. 9.Statements: No rings are keys. No bells are keys. Conclusion: No bells are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  10. 10.Statements: All coins are books. Some books are bags. Conclusion: All bags are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  11. 11.Statements: All boxes are pens. No kites are boxes. Conclusion: No kites are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  12. 12.Statements: No coins are kites. All kites are shoes. Conclusion: All shoes are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  13. 13.Statements: No pens are kites. Some bells are pens. Conclusion: All bells are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  14. 14.Statements: No kites are pens. All rings are kites. Conclusion: Some pens are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  15. 15.Statements: All coins are boxes. All coins are bags. Conclusion: No bags are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  16. 16.Statements: Some bags are balls. No bells are balls. Conclusion: No bells are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  17. 17.Statements: All pens are boxes. No boxes are keys. Conclusion: No keys are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  18. 18.Statements: All bells are pens. Some bells are keys. Conclusion: All pens are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  19. 19.Statements: All toys are bags. All bags are pens. Conclusion: All pens are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  20. 20.Statements: Some bags are toys. All toys are books. Conclusion: No books are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  21. 21.Statements: Some coins are shoes. Some coins are books. Conclusion: All books are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  22. 22.Statements: Some shoes are bags. All bags are boxes. Conclusion: Some shoes are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  23. 23.Statements: All boxes are kites. All coins are boxes. Conclusion: Some coins are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  24. 24.Statements: No toys are kites. No toys are bags. Conclusion: Some bags are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  25. 25.Statements: Some bags are books. No books are kites. Conclusion: All kites are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  26. 26.Statements: All keys are bells. All kites are keys. Conclusion: All bells are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  27. 27.Statements: All caps are cups. All coins are caps. Conclusion: All coins are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  28. 28.Statements: Some toys are balls. All balls are rings. Conclusion: Some toys are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  29. 29.Statements: No cups are bags. All kites are bags. Conclusion: All cups are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  30. 30.Statements: All keys are cups. Some pens are cups. Conclusion: No keys are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  31. 31.Statements: Some bags are keys. All pens are keys. Conclusion: No bags are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  32. 32.Statements: No bags are coins. Some coins are boxes. Conclusion: All boxes are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  33. 33.Statements: All cups are books. All cups are bells. Conclusion: No books are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  34. 34.Statements: All kites are coins. No coins are pens. Conclusion: No kites are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  35. 35.Statements: All cups are shoes. No kites are shoes. Conclusion: Some kites are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  36. 36.Statements: Some bells are bags. All pens are bags. Conclusion: Some pens are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  37. 37.Statements: Some bells are kites. No bells are shoes. Conclusion: No kites are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  38. 38.Statements: All boxes are kites. Some balls are kites. Conclusion: No balls are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  39. 39.Statements: No keys are boxes. All books are keys. Conclusion: No boxes are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  40. 40.Statements: Some keys are kites. Some kites are bags. Conclusion: Some bags are keys. 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. Yes
  9. No
  10. No
  11. No
  12. No
  13. No
  14. No
  15. No
  16. No
  17. Yes
  18. No
  19. No
  20. No
  21. No
  22. Yes
  23. Yes
  24. No
  25. No
  26. No
  27. Yes
  28. Yes
  29. No
  30. No
  31. No
  32. No
  33. No
  34. Yes
  35. No
  36. No
  37. No
  38. No
  39. Yes
  40. No

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