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Syllogism Worksheet

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

Answer key

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

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