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Syllogism Worksheet

Logical reasoning lesson 21: Syllogisms · Set 386 · 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: No balls are cups. No cups are caps. Conclusion: All caps are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  2. 2.Statements: Some coins are bells. No shoes are coins. Conclusion: No shoes are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  3. 3.Statements: No coins are pens. All boxes are coins. Conclusion: Some pens are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  4. 4.Statements: No caps are toys. Some toys are shoes. Conclusion: All caps are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  5. 5.Statements: All caps are rings. No bells are rings. Conclusion: No caps are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  6. 6.Statements: All balls are rings. All keys are balls. Conclusion: Some rings are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  7. 7.Statements: All caps are bells. All balls are bells. Conclusion: All balls are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  8. 8.Statements: Some balls are caps. Some coins are caps. Conclusion: No balls are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  9. 9.Statements: No keys are rings. All shoes are keys. Conclusion: All rings are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  10. 10.Statements: Some keys are pens. All keys are books. Conclusion: Some pens are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  11. 11.Statements: All balls are keys. All keys are kites. Conclusion: Some balls are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  12. 12.Statements: All toys are books. All toys are bells. Conclusion: All bells are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  13. 13.Statements: All caps are shoes. All bags are shoes. Conclusion: All bags are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  14. 14.Statements: Some boxes are coins. Some coins are pens. Conclusion: No boxes are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  15. 15.Statements: No caps are bells. No bags are caps. Conclusion: No bells are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  16. 16.Statements: All bells are shoes. No shoes are kites. Conclusion: No bells are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  17. 17.Statements: All caps are books. No caps are bells. Conclusion: Some bells are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  18. 18.Statements: All books are bags. No bags are coins. Conclusion: No coins are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  19. 19.Statements: All bells are boxes. All bells are cups. Conclusion: No cups are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  20. 20.Statements: All pens are keys. All rings are keys. Conclusion: All pens are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  21. 21.Statements: All boxes are rings. No caps are rings. Conclusion: No caps are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  22. 22.Statements: No shoes are books. Some shoes are pens. Conclusion: Some books are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  23. 23.Statements: Some bags are pens. All pens are caps. Conclusion: Some caps are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  24. 24.Statements: Some balls are keys. Some kites are keys. Conclusion: No kites are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  25. 25.Statements: No boxes are bags. Some boxes are kites. Conclusion: Some bags are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  26. 26.Statements: No caps are bags. Some bags are cups. Conclusion: No caps are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  27. 27.Statements: No pens are caps. All pens are rings. Conclusion: All caps are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  28. 28.Statements: All caps are rings. Some bags are rings. Conclusion: Some bags are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  29. 29.Statements: All cups are pens. Some kites are pens. Conclusion: No cups are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  30. 30.Statements: No coins are balls. Some rings are balls. Conclusion: All rings are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  31. 31.Statements: No caps are pens. No caps are cups. Conclusion: Some cups are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  32. 32.Statements: No coins are books. Some toys are coins. Conclusion: All toys are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  33. 33.Statements: No books are caps. Some pens are books. Conclusion: No pens are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  34. 34.Statements: All keys are kites. No bells are kites. Conclusion: No bells are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  35. 35.Statements: All toys are books. Some balls are books. Conclusion: All balls are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  36. 36.Statements: All shoes are kites. Some shoes are pens. Conclusion: All pens are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  37. 37.Statements: All bags are keys. All bells are bags. Conclusion: Some bells are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  38. 38.Statements: All cups are bells. All bells are bags. Conclusion: Some cups are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  39. 39.Statements: No cups are coins. No books are coins. Conclusion: No books are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  40. 40.Statements: All keys are kites. Some keys are toys. Conclusion: Some toys are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No

Answer key

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

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