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Syllogism Worksheet

Logical reasoning lesson 21: Syllogisms · Set 378 · 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 shoes are balls. All caps are shoes. Conclusion: Some caps are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  2. 2.Statements: No pens are books. All pens are bags. Conclusion: All bags are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  3. 3.Statements: All books are caps. Some caps are coins. Conclusion: No coins are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  4. 4.Statements: All keys are bags. No keys are pens. Conclusion: Some bags are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  5. 5.Statements: All books are caps. All boxes are books. Conclusion: No boxes are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  6. 6.Statements: All kites are shoes. Some kites are toys. Conclusion: All shoes are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  7. 7.Statements: All coins are boxes. No caps are boxes. Conclusion: All caps are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  8. 8.Statements: All boxes are bags. All keys are boxes. Conclusion: Some bags are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  9. 9.Statements: All balls are bells. All bells are rings. Conclusion: Some balls are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  10. 10.Statements: All rings are boxes. Some caps are boxes. Conclusion: No rings are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  11. 11.Statements: All pens are kites. No toys are pens. Conclusion: All kites are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  12. 12.Statements: No boxes are shoes. All kites are shoes. Conclusion: No boxes are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  13. 13.Statements: All bells are bags. No books are bells. Conclusion: No bags are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  14. 14.Statements: No balls are shoes. All cups are balls. Conclusion: Some shoes are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  15. 15.Statements: All toys are cups. Some keys are toys. Conclusion: No cups are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  16. 16.Statements: Some shoes are cups. All shoes are pens. Conclusion: All cups are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  17. 17.Statements: Some bells are books. Some toys are books. Conclusion: No toys are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  18. 18.Statements: Some pens are balls. Some balls are bags. Conclusion: Some bags are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  19. 19.Statements: Some books are keys. All keys are shoes. Conclusion: Some shoes are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  20. 20.Statements: All bells are caps. All caps are coins. Conclusion: Some coins are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  21. 21.Statements: All pens are kites. No kites are toys. Conclusion: No pens are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  22. 22.Statements: All shoes are rings. All keys are shoes. Conclusion: Some rings are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  23. 23.Statements: No kites are toys. Some kites are cups. Conclusion: No toys are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  24. 24.Statements: Some pens are bells. All pens are books. Conclusion: No books are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  25. 25.Statements: No bags are toys. All cups are bags. Conclusion: No cups are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  26. 26.Statements: All keys are bells. No bells are cups. Conclusion: Some keys are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  27. 27.Statements: All pens are boxes. Some bags are pens. Conclusion: All boxes are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  28. 28.Statements: All coins are rings. All rings are pens. Conclusion: Some pens are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  29. 29.Statements: All keys are kites. Some keys are toys. Conclusion: Some kites are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  30. 30.Statements: No bags are rings. All balls are bags. Conclusion: No rings are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  31. 31.Statements: All cups are boxes. No books are boxes. Conclusion: All books are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  32. 32.Statements: All bells are keys. Some bells are coins. Conclusion: No coins are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  33. 33.Statements: Some bags are rings. All caps are bags. Conclusion: No rings are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  34. 34.Statements: All coins are boxes. Some coins are kites. Conclusion: No boxes are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  35. 35.Statements: No balls are caps. No pens are caps. Conclusion: No balls are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  36. 36.Statements: All boxes are bags. No keys are boxes. Conclusion: Some keys are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  37. 37.Statements: All keys are cups. No cups are rings. Conclusion: No rings are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  38. 38.Statements: All books are kites. All kites are balls. Conclusion: No balls are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  39. 39.Statements: Some cups are balls. No balls are boxes. Conclusion: Some cups are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  40. 40.Statements: Some pens are keys. All pens are bags. Conclusion: All bags are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No

Answer key

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

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