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Syllogism Worksheet

Logical reasoning lesson 21: Syllogisms · Set 297 · 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: No pens are kites. No pens are caps. Conclusion: All kites are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  2. 2.Statements: No bags are boxes. All kites are bags. Conclusion: No kites are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  3. 3.Statements: No pens are books. No pens are rings. Conclusion: All books are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  4. 4.Statements: Some toys are bags. All pens are bags. Conclusion: No pens are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  5. 5.Statements: All coins are bells. No bells are bags. Conclusion: No bags are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  6. 6.Statements: All balls are bells. All bags are balls. Conclusion: Some bags are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  7. 7.Statements: All cups are kites. All cups are shoes. Conclusion: No shoes are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  8. 8.Statements: No books are rings. Some bells are books. Conclusion: All rings are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  9. 9.Statements: Some coins are pens. All kites are pens. Conclusion: No coins are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  10. 10.Statements: All boxes are balls. All balls are bells. Conclusion: All boxes are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  11. 11.Statements: All books are cups. No cups are coins. Conclusion: No coins are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  12. 12.Statements: All kites are keys. Some books are kites. Conclusion: Some keys are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  13. 13.Statements: All bags are rings. All rings are boxes. Conclusion: Some boxes are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  14. 14.Statements: All caps are toys. All toys are kites. Conclusion: Some kites are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  15. 15.Statements: All bags are cups. Some bags are shoes. Conclusion: No cups are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  16. 16.Statements: All cups are toys. Some cups are bags. Conclusion: Some bags are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  17. 17.Statements: All keys are boxes. No bags are keys. Conclusion: Some boxes are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  18. 18.Statements: Some kites are toys. All toys are boxes. Conclusion: Some kites are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  19. 19.Statements: All caps are books. No books are toys. Conclusion: No caps are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  20. 20.Statements: Some keys are boxes. Some coins are keys. Conclusion: No boxes are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  21. 21.Statements: Some pens are books. Some books are shoes. Conclusion: All pens are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  22. 22.Statements: No shoes are books. Some shoes are keys. Conclusion: All keys are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  23. 23.Statements: All bags are toys. No keys are toys. Conclusion: Some keys are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  24. 24.Statements: All bells are rings. All toys are bells. Conclusion: All rings are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  25. 25.Statements: All balls are bags. No boxes are balls. Conclusion: No bags are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  26. 26.Statements: All coins are shoes. No coins are bells. Conclusion: All bells are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  27. 27.Statements: All boxes are cups. Some boxes are bells. Conclusion: Some bells are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  28. 28.Statements: All toys are keys. All keys are boxes. Conclusion: All toys are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  29. 29.Statements: Some rings are keys. All cups are keys. Conclusion: Some cups are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  30. 30.Statements: All pens are toys. No rings are toys. Conclusion: Some rings are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  31. 31.Statements: No shoes are kites. All kites are books. Conclusion: Some shoes are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  32. 32.Statements: All coins are pens. All cups are coins. Conclusion: Some pens are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  33. 33.Statements: All coins are boxes. All coins are caps. Conclusion: Some boxes are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  34. 34.Statements: Some kites are pens. All pens are toys. Conclusion: Some toys are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  35. 35.Statements: All shoes are keys. No bells are shoes. Conclusion: No bells are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  36. 36.Statements: No coins are pens. No pens are cups. Conclusion: All coins are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  37. 37.Statements: No keys are toys. Some coins are toys. Conclusion: All keys are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  38. 38.Statements: No toys are bells. No pens are toys. Conclusion: Some bells are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  39. 39.Statements: All pens are caps. Some coins are caps. Conclusion: No coins are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  40. 40.Statements: All books are toys. All toys are caps. Conclusion: Some books are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No

Answer key

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

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