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Syllogism Worksheet

Logical reasoning lesson 21: Syllogisms · Set 345 · 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 caps are keys. All keys are pens. Conclusion: Some pens are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  2. 2.Statements: No shoes are rings. No pens are rings. Conclusion: Some pens are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  3. 3.Statements: Some caps are books. All coins are caps. Conclusion: No coins are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  4. 4.Statements: No balls are bells. No keys are balls. Conclusion: All keys are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  5. 5.Statements: No boxes are bags. All rings are boxes. Conclusion: No rings are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  6. 6.Statements: No kites are boxes. Some bells are kites. Conclusion: All bells are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  7. 7.Statements: All shoes are keys. All keys are coins. Conclusion: Some coins are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  8. 8.Statements: All keys are toys. All toys are books. Conclusion: Some books are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  9. 9.Statements: All pens are keys. Some bells are keys. Conclusion: No pens are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  10. 10.Statements: All kites are bags. No bags are pens. Conclusion: No pens are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  11. 11.Statements: Some books are caps. Some books are kites. Conclusion: All kites are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  12. 12.Statements: All kites are boxes. Some kites are cups. Conclusion: Some boxes are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  13. 13.Statements: All keys are rings. All rings are books. Conclusion: Some books are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  14. 14.Statements: No toys are balls. All toys are boxes. Conclusion: All boxes are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  15. 15.Statements: All toys are keys. Some toys are rings. Conclusion: Some rings are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  16. 16.Statements: No boxes are books. All books are pens. Conclusion: All boxes are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  17. 17.Statements: All cups are caps. All boxes are caps. Conclusion: No cups are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  18. 18.Statements: All bags are cups. Some bags are pens. Conclusion: Some cups are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  19. 19.Statements: Some boxes are balls. No balls are rings. Conclusion: All boxes are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  20. 20.Statements: No boxes are rings. Some rings are balls. Conclusion: All boxes are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  21. 21.Statements: All rings are caps. Some rings are bags. Conclusion: All caps are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  22. 22.Statements: All bags are toys. All pens are bags. Conclusion: No toys are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  23. 23.Statements: All coins are bells. All bells are cups. Conclusion: All coins are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  24. 24.Statements: All bags are rings. Some bags are keys. Conclusion: All rings are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  25. 25.Statements: No shoes are boxes. Some shoes are kites. Conclusion: All kites are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  26. 26.Statements: All bells are cups. No cups are bags. Conclusion: No bells are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  27. 27.Statements: All bags are caps. No caps are rings. Conclusion: No rings are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  28. 28.Statements: No books are rings. Some pens are rings. Conclusion: Some books are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  29. 29.Statements: Some kites are cups. All bells are cups. Conclusion: No bells are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  30. 30.Statements: Some boxes are bags. All shoes are boxes. Conclusion: All bags are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  31. 31.Statements: Some bags are boxes. All bags are balls. Conclusion: Some balls are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  32. 32.Statements: No bags are bells. All balls are bells. Conclusion: No balls are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  33. 33.Statements: All books are kites. No kites are coins. Conclusion: No books are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  34. 34.Statements: All coins are caps. No books are caps. Conclusion: Some books are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  35. 35.Statements: All boxes are cups. Some cups are bells. Conclusion: All boxes are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  36. 36.Statements: No shoes are boxes. No pens are shoes. Conclusion: Some pens are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  37. 37.Statements: No toys are coins. Some shoes are coins. Conclusion: Some toys are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  38. 38.Statements: No books are rings. All kites are books. Conclusion: Some rings are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  39. 39.Statements: All caps are cups. No cups are keys. Conclusion: No keys are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  40. 40.Statements: Some kites are rings. Some books are rings. Conclusion: All kites are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No

Answer key

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

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