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Syllogism Worksheet

Logical reasoning lesson 21: Syllogisms · Set 398 · 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 cups are books. All cups are shoes. Conclusion: Some shoes are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  2. 2.Statements: All caps are coins. Some caps are boxes. Conclusion: Some boxes are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  3. 3.Statements: No caps are books. Some books are boxes. Conclusion: No boxes are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  4. 4.Statements: No cups are bags. All cups are shoes. Conclusion: Some shoes are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  5. 5.Statements: Some keys are bags. Some kites are keys. Conclusion: Some bags are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  6. 6.Statements: Some coins are caps. No caps are books. Conclusion: No books are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  7. 7.Statements: All shoes are caps. All shoes are coins. Conclusion: No coins are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  8. 8.Statements: Some caps are cups. All cups are toys. Conclusion: Some caps are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  9. 9.Statements: Some kites are boxes. No cups are kites. Conclusion: No cups are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  10. 10.Statements: No balls are books. All balls are toys. Conclusion: All toys are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  11. 11.Statements: All keys are shoes. All shoes are boxes. Conclusion: All boxes are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  12. 12.Statements: No pens are cups. All books are pens. Conclusion: All books are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  13. 13.Statements: All keys are coins. No keys are pens. Conclusion: All pens are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  14. 14.Statements: Some pens are bags. No bags are boxes. Conclusion: No pens are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  15. 15.Statements: Some boxes are shoes. No cups are shoes. Conclusion: All boxes are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  16. 16.Statements: All rings are boxes. No boxes are keys. Conclusion: Some keys are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  17. 17.Statements: Some boxes are coins. All shoes are boxes. Conclusion: Some coins are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  18. 18.Statements: All cups are boxes. All toys are cups. Conclusion: All boxes are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  19. 19.Statements: All cups are bells. All cups are keys. Conclusion: All bells are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  20. 20.Statements: All toys are kites. All kites are bags. Conclusion: No toys are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  21. 21.Statements: No boxes are rings. All rings are books. Conclusion: All books are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  22. 22.Statements: Some bells are books. All pens are bells. Conclusion: Some books are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  23. 23.Statements: All rings are kites. Some toys are rings. Conclusion: Some kites are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  24. 24.Statements: Some kites are bags. No bells are kites. Conclusion: No bags are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  25. 25.Statements: Some rings are coins. All keys are coins. Conclusion: Some rings are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  26. 26.Statements: All caps are pens. All pens are toys. Conclusion: No caps are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  27. 27.Statements: No rings are balls. No kites are rings. Conclusion: Some balls are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  28. 28.Statements: No cups are bags. No bags are shoes. Conclusion: No shoes are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  29. 29.Statements: No keys are pens. No coins are pens. Conclusion: No coins are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  30. 30.Statements: All shoes are cups. All pens are cups. Conclusion: Some shoes are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  31. 31.Statements: No boxes are pens. Some kites are pens. Conclusion: All boxes are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  32. 32.Statements: All pens are toys. All pens are keys. Conclusion: Some toys are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  33. 33.Statements: No toys are shoes. No shoes are balls. Conclusion: No balls are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  34. 34.Statements: All shoes are caps. No toys are shoes. Conclusion: All toys are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  35. 35.Statements: No bags are cups. Some cups are kites. Conclusion: Some bags are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  36. 36.Statements: All books are bags. All pens are books. Conclusion: Some pens are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  37. 37.Statements: No bags are rings. No shoes are rings. Conclusion: Some bags are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  38. 38.Statements: All bags are coins. Some coins are caps. Conclusion: No caps are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  39. 39.Statements: All books are pens. All bags are books. Conclusion: No bags are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  40. 40.Statements: Some caps are books. Some books are coins. Conclusion: Some caps are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No

Answer key

  1. Yes
  2. Yes
  3. No
  4. No
  5. No
  6. No
  7. No
  8. Yes
  9. No
  10. No
  11. No
  12. No
  13. No
  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. No
  27. No
  28. No
  29. No
  30. No
  31. No
  32. Yes
  33. No
  34. No
  35. No
  36. Yes
  37. No
  38. No
  39. No
  40. No

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