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Syllogism Worksheet

Logical reasoning lesson 21: Syllogisms · Set 280 · 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 shoes are coins. Some kites are coins. Conclusion: No shoes are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  2. 2.Statements: All shoes are kites. All kites are cups. Conclusion: All cups are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  3. 3.Statements: All keys are bells. All rings are keys. Conclusion: All rings are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  4. 4.Statements: No books are pens. All cups are pens. Conclusion: No books are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  5. 5.Statements: All coins are shoes. All pens are coins. Conclusion: No shoes are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  6. 6.Statements: No coins are bags. All shoes are bags. Conclusion: Some shoes are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  7. 7.Statements: Some books are coins. All books are bags. Conclusion: Some bags are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  8. 8.Statements: All kites are bells. All kites are cups. Conclusion: All bells are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  9. 9.Statements: All books are cups. All cups are toys. Conclusion: Some toys are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  10. 10.Statements: All bags are toys. All bags are caps. Conclusion: Some toys are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  11. 11.Statements: All bells are cups. Some boxes are cups. Conclusion: Some boxes are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  12. 12.Statements: All rings are boxes. No books are rings. Conclusion: Some books are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  13. 13.Statements: All shoes are caps. No caps are boxes. Conclusion: No shoes are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  14. 14.Statements: No caps are coins. All keys are caps. Conclusion: No coins are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  15. 15.Statements: No rings are bells. All rings are keys. Conclusion: No keys are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  16. 16.Statements: No balls are kites. All kites are bags. Conclusion: No balls are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  17. 17.Statements: Some toys are pens. No pens are caps. Conclusion: Some caps are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  18. 18.Statements: All rings are bags. All toys are bags. Conclusion: All rings are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  19. 19.Statements: All cups are bells. Some bells are books. Conclusion: All books are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  20. 20.Statements: Some coins are balls. All balls are bells. Conclusion: No bells are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  21. 21.Statements: Some kites are toys. All toys are shoes. Conclusion: Some kites are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  22. 22.Statements: All books are toys. All books are kites. Conclusion: Some toys are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  23. 23.Statements: All cups are caps. No cups are balls. Conclusion: No balls are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  24. 24.Statements: All boxes are keys. All keys are caps. Conclusion: Some boxes are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  25. 25.Statements: Some kites are toys. Some kites are books. Conclusion: All books are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  26. 26.Statements: All bells are books. No coins are books. Conclusion: No coins are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  27. 27.Statements: Some books are coins. Some coins are pens. Conclusion: Some pens are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  28. 28.Statements: All kites are bags. Some bags are rings. Conclusion: Some kites are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  29. 29.Statements: All shoes are coins. All coins are boxes. Conclusion: All boxes are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  30. 30.Statements: Some shoes are boxes. All balls are shoes. Conclusion: All boxes are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  31. 31.Statements: All bags are toys. All books are bags. Conclusion: Some toys are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  32. 32.Statements: All keys are bells. All bells are toys. Conclusion: All keys are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  33. 33.Statements: Some toys are cups. All kites are cups. Conclusion: All toys are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  34. 34.Statements: Some bags are boxes. All bags are books. Conclusion: No boxes are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  35. 35.Statements: Some kites are boxes. All kites are books. Conclusion: No books are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  36. 36.Statements: Some pens are balls. All pens are caps. Conclusion: Some caps are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  37. 37.Statements: All boxes are balls. All boxes are keys. Conclusion: Some balls are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  38. 38.Statements: No balls are books. Some balls are caps. Conclusion: Some books are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  39. 39.Statements: No books are toys. No toys are bags. Conclusion: Some books are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  40. 40.Statements: Some caps are bags. No rings are bags. Conclusion: No caps are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No

Answer key

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

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