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Syllogism Worksheet

Logical reasoning lesson 21: Syllogisms · Set 132 · 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 kites are coins. All kites are shoes. Conclusion: All shoes are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  2. 2.Statements: Some books are keys. No rings are keys. Conclusion: All rings are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  3. 3.Statements: All keys are bags. All keys are books. Conclusion: Some books are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  4. 4.Statements: No books are bells. No bags are bells. Conclusion: No bags are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  5. 5.Statements: Some balls are bags. All boxes are bags. Conclusion: No balls are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  6. 6.Statements: All rings are balls. All keys are rings. Conclusion: No keys are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  7. 7.Statements: All balls are pens. All pens are bells. Conclusion: Some bells are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  8. 8.Statements: All toys are boxes. All boxes are pens. Conclusion: No toys are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  9. 9.Statements: Some bells are coins. No kites are bells. Conclusion: Some coins are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  10. 10.Statements: Some balls are bags. No balls are coins. Conclusion: Some bags are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  11. 11.Statements: Some shoes are pens. No pens are coins. Conclusion: No coins are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  12. 12.Statements: No toys are shoes. All bells are toys. Conclusion: No bells are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  13. 13.Statements: All caps are kites. No kites are coins. Conclusion: No caps are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  14. 14.Statements: All rings are bags. No keys are bags. Conclusion: No keys are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  15. 15.Statements: All caps are toys. No rings are toys. Conclusion: No caps are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  16. 16.Statements: No balls are shoes. All toys are balls. Conclusion: No shoes are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  17. 17.Statements: All coins are rings. All rings are keys. Conclusion: All coins are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  18. 18.Statements: All boxes are kites. Some coins are boxes. Conclusion: All kites are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  19. 19.Statements: Some cups are toys. No toys are books. Conclusion: All books are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  20. 20.Statements: Some bags are toys. No toys are caps. Conclusion: Some caps are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  21. 21.Statements: All bags are cups. Some cups are balls. Conclusion: All balls are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  22. 22.Statements: Some cups are pens. All pens are kites. Conclusion: All kites are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  23. 23.Statements: Some rings are kites. Some rings are boxes. Conclusion: Some kites are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  24. 24.Statements: All shoes are keys. No keys are kites. Conclusion: No kites are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  25. 25.Statements: Some bags are caps. All bags are pens. Conclusion: Some caps are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  26. 26.Statements: Some bells are shoes. All bells are bags. Conclusion: All shoes are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  27. 27.Statements: All toys are shoes. All toys are boxes. Conclusion: Some boxes are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  28. 28.Statements: All pens are books. All pens are toys. Conclusion: Some books are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  29. 29.Statements: All bags are balls. Some bags are boxes. Conclusion: No boxes are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  30. 30.Statements: All bags are shoes. All bags are cups. Conclusion: No shoes are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  31. 31.Statements: Some keys are balls. No keys are pens. Conclusion: Some pens are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  32. 32.Statements: Some boxes are coins. No boxes are cups. Conclusion: No cups are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  33. 33.Statements: All bags are books. All bells are books. Conclusion: No bags are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  34. 34.Statements: Some kites are rings. All kites are shoes. Conclusion: Some shoes are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  35. 35.Statements: All toys are pens. No toys are keys. Conclusion: No pens are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  36. 36.Statements: All kites are pens. No kites are rings. Conclusion: All pens are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  37. 37.Statements: All bags are keys. All boxes are keys. Conclusion: No bags are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  38. 38.Statements: All balls are shoes. All balls are bags. Conclusion: All shoes are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  39. 39.Statements: All cups are coins. No books are coins. Conclusion: Some cups are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  40. 40.Statements: No shoes are keys. All pens are shoes. Conclusion: No keys are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No

Answer key

  1. No
  2. No
  3. Yes
  4. No
  5. No
  6. No
  7. Yes
  8. No
  9. No
  10. No
  11. No
  12. Yes
  13. Yes
  14. Yes
  15. Yes
  16. Yes
  17. Yes
  18. No
  19. No
  20. No
  21. No
  22. No
  23. No
  24. Yes
  25. Yes
  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. No
  40. Yes

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