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Syllogism Worksheet

Logical reasoning lesson 21: Syllogisms · Set 321 · 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 balls are keys. All balls are pens. Conclusion: Some keys are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  2. 2.Statements: No rings are balls. No books are rings. Conclusion: No books are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  3. 3.Statements: No books are shoes. All toys are shoes. Conclusion: No toys are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  4. 4.Statements: Some boxes are shoes. All shoes are bags. Conclusion: Some bags are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  5. 5.Statements: All boxes are balls. All balls are bags. Conclusion: Some bags are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  6. 6.Statements: No boxes are books. All books are keys. Conclusion: Some keys are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  7. 7.Statements: All pens are toys. Some cups are toys. Conclusion: No pens are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  8. 8.Statements: All bags are coins. Some bags are books. Conclusion: No coins are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  9. 9.Statements: All bells are toys. No bells are books. Conclusion: All toys are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  10. 10.Statements: Some bags are cups. Some shoes are cups. Conclusion: No bags are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  11. 11.Statements: No coins are pens. No pens are balls. Conclusion: All coins are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  12. 12.Statements: Some kites are toys. All toys are coins. Conclusion: All kites are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  13. 13.Statements: No books are keys. No pens are books. Conclusion: Some keys are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  14. 14.Statements: No boxes are bags. No caps are boxes. Conclusion: No caps are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  15. 15.Statements: No coins are caps. No bags are coins. Conclusion: No bags are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  16. 16.Statements: Some shoes are balls. Some bags are balls. Conclusion: All shoes are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  17. 17.Statements: Some bells are balls. No toys are bells. Conclusion: Some balls are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  18. 18.Statements: All caps are kites. All caps are cups. Conclusion: Some cups are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  19. 19.Statements: All coins are toys. Some toys are rings. Conclusion: Some rings are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  20. 20.Statements: No coins are shoes. No toys are coins. Conclusion: Some toys are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  21. 21.Statements: Some bags are shoes. No shoes are toys. Conclusion: Some toys are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  22. 22.Statements: No boxes are cups. No cups are keys. Conclusion: All boxes are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  23. 23.Statements: All caps are bags. All rings are caps. Conclusion: No bags are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  24. 24.Statements: All books are bells. No pens are bells. Conclusion: Some books are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  25. 25.Statements: All toys are pens. Some pens are kites. Conclusion: No kites are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  26. 26.Statements: No kites are coins. All balls are coins. Conclusion: No balls are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  27. 27.Statements: All rings are books. Some books are cups. Conclusion: Some rings are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  28. 28.Statements: All pens are bags. All caps are pens. Conclusion: Some caps are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  29. 29.Statements: Some books are rings. All books are bells. Conclusion: Some rings are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  30. 30.Statements: Some boxes are pens. Some caps are pens. Conclusion: No boxes are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  31. 31.Statements: No toys are pens. No pens are bags. Conclusion: No bags are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  32. 32.Statements: All coins are balls. All pens are coins. Conclusion: All balls are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  33. 33.Statements: All bells are bags. Some bags are pens. Conclusion: No pens are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  34. 34.Statements: No rings are cups. All keys are rings. Conclusion: All keys are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  35. 35.Statements: No bags are caps. No rings are caps. Conclusion: Some rings are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  36. 36.Statements: All toys are pens. No balls are pens. Conclusion: Some balls are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  37. 37.Statements: No balls are books. All rings are books. Conclusion: All balls are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  38. 38.Statements: Some bags are caps. All bags are boxes. Conclusion: All caps are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  39. 39.Statements: Some rings are bags. All rings are cups. Conclusion: Some bags are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  40. 40.Statements: No bags are kites. Some kites are pens. Conclusion: All pens are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No

Answer key

  1. Yes
  2. No
  3. Yes
  4. Yes
  5. Yes
  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. No
  22. No
  23. No
  24. No
  25. No
  26. Yes
  27. No
  28. Yes
  29. Yes
  30. No
  31. No
  32. No
  33. No
  34. No
  35. No
  36. No
  37. No
  38. No
  39. Yes
  40. No

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