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Syllogism Worksheet

Logical reasoning lesson 21: Syllogisms · Set 185 · 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 bells are toys. All balls are bells. Conclusion: Some balls are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  2. 2.Statements: All kites are bags. Some kites are rings. Conclusion: Some bags are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  3. 3.Statements: No bags are boxes. All pens are bags. Conclusion: No pens are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  4. 4.Statements: No rings are boxes. All rings are books. Conclusion: All boxes are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  5. 5.Statements: Some boxes are coins. Some books are boxes. Conclusion: Some coins are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  6. 6.Statements: Some caps are books. All books are rings. Conclusion: Some caps are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  7. 7.Statements: Some bells are keys. All coins are keys. Conclusion: All bells are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  8. 8.Statements: All kites are bags. Some cups are kites. Conclusion: Some cups are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  9. 9.Statements: All pens are cups. No caps are cups. Conclusion: No caps are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  10. 10.Statements: Some balls are pens. Some keys are balls. Conclusion: All pens are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  11. 11.Statements: All pens are balls. All books are pens. Conclusion: No balls are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  12. 12.Statements: All coins are pens. No pens are cups. Conclusion: All cups are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  13. 13.Statements: All toys are caps. No books are caps. Conclusion: No toys are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  14. 14.Statements: All bells are toys. Some books are bells. Conclusion: No toys are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  15. 15.Statements: All keys are shoes. Some shoes are kites. Conclusion: No kites are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  16. 16.Statements: All boxes are cups. All keys are boxes. Conclusion: No keys are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  17. 17.Statements: Some bags are shoes. No bags are coins. Conclusion: No coins are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  18. 18.Statements: No bags are books. No bags are shoes. Conclusion: Some books are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  19. 19.Statements: Some books are keys. All keys are caps. Conclusion: No books are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  20. 20.Statements: Some pens are bags. All cups are pens. Conclusion: No cups are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  21. 21.Statements: All pens are rings. All pens are cups. Conclusion: No rings are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  22. 22.Statements: Some balls are rings. All caps are rings. Conclusion: No caps are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  23. 23.Statements: All caps are pens. No shoes are pens. Conclusion: No caps are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  24. 24.Statements: All keys are caps. Some bells are caps. Conclusion: No keys are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  25. 25.Statements: Some books are bells. Some bells are cups. Conclusion: No cups are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  26. 26.Statements: Some keys are books. All keys are bags. Conclusion: Some books are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  27. 27.Statements: Some bags are kites. All bags are keys. Conclusion: Some kites are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  28. 28.Statements: No books are pens. No coins are books. Conclusion: All pens are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  29. 29.Statements: Some boxes are kites. No books are kites. Conclusion: Some boxes are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  30. 30.Statements: No caps are keys. No keys are bells. Conclusion: No caps are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  31. 31.Statements: No balls are keys. All cups are keys. Conclusion: No balls are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  32. 32.Statements: All books are toys. All bags are books. Conclusion: All bags are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  33. 33.Statements: All keys are books. Some rings are books. Conclusion: All rings are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  34. 34.Statements: All cups are coins. All coins are caps. Conclusion: Some cups are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  35. 35.Statements: No bags are rings. All books are bags. Conclusion: All rings are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  36. 36.Statements: All boxes are coins. All coins are cups. Conclusion: No cups are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  37. 37.Statements: Some shoes are cups. All toys are shoes. Conclusion: No cups are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  38. 38.Statements: All shoes are toys. Some toys are boxes. Conclusion: Some shoes are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  39. 39.Statements: No balls are bags. No bags are cups. Conclusion: All balls are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  40. 40.Statements: All cups are balls. Some boxes are cups. Conclusion: All boxes are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No

Answer key

  1. Yes
  2. Yes
  3. Yes
  4. No
  5. No
  6. Yes
  7. No
  8. Yes
  9. Yes
  10. No
  11. No
  12. No
  13. Yes
  14. No
  15. No
  16. No
  17. No
  18. No
  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. No
  34. Yes
  35. No
  36. No
  37. No
  38. No
  39. No
  40. No

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