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Syllogism Worksheet

Logical reasoning lesson 21: Syllogisms · Set 413 · 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 bags are coins. All bags are balls. Conclusion: Some balls are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  2. 2.Statements: No cups are kites. All caps are kites. Conclusion: No cups are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  3. 3.Statements: No boxes are cups. Some toys are boxes. Conclusion: No toys are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  4. 4.Statements: No rings are cups. Some cups are kites. Conclusion: Some kites are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  5. 5.Statements: All shoes are bells. All coins are bells. Conclusion: Some shoes are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  6. 6.Statements: All shoes are keys. All balls are shoes. Conclusion: Some balls are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  7. 7.Statements: All caps are toys. All toys are coins. Conclusion: No caps are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  8. 8.Statements: No rings are boxes. No caps are rings. Conclusion: All caps are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  9. 9.Statements: Some keys are bells. All keys are balls. Conclusion: All bells are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  10. 10.Statements: All keys are cups. No cups are bags. Conclusion: All keys are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  11. 11.Statements: All bags are pens. All shoes are bags. Conclusion: All pens are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  12. 12.Statements: All cups are caps. All caps are boxes. Conclusion: All cups are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  13. 13.Statements: All keys are bells. Some keys are books. Conclusion: No books are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  14. 14.Statements: All bags are shoes. Some kites are bags. Conclusion: Some shoes are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  15. 15.Statements: No shoes are keys. All boxes are keys. Conclusion: Some shoes are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  16. 16.Statements: All bags are pens. All pens are balls. Conclusion: All bags are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  17. 17.Statements: No boxes are kites. No boxes are caps. Conclusion: All caps are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  18. 18.Statements: All bags are keys. Some books are keys. Conclusion: All books are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  19. 19.Statements: All balls are caps. No caps are boxes. Conclusion: Some balls are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  20. 20.Statements: All books are rings. Some caps are books. Conclusion: No rings are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  21. 21.Statements: All pens are rings. No kites are rings. Conclusion: Some pens are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  22. 22.Statements: All keys are rings. No boxes are rings. Conclusion: No keys are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  23. 23.Statements: No balls are boxes. All balls are caps. Conclusion: All caps are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  24. 24.Statements: Some kites are bells. All kites are pens. Conclusion: All bells are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  25. 25.Statements: Some shoes are boxes. All kites are shoes. Conclusion: All boxes are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  26. 26.Statements: Some caps are toys. All toys are keys. Conclusion: No caps are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  27. 27.Statements: All shoes are toys. All toys are books. Conclusion: Some books are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  28. 28.Statements: No caps are books. No bells are books. Conclusion: All caps are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  29. 29.Statements: All balls are rings. No balls are cups. Conclusion: No cups are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  30. 30.Statements: Some pens are kites. No kites are books. Conclusion: Some books are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  31. 31.Statements: All bags are boxes. All boxes are caps. Conclusion: Some bags are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  32. 32.Statements: All books are pens. No toys are pens. Conclusion: No books are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  33. 33.Statements: Some toys are keys. All keys are cups. Conclusion: Some cups are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  34. 34.Statements: All balls are bells. Some coins are bells. Conclusion: No balls are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  35. 35.Statements: All balls are kites. No bags are kites. Conclusion: No balls are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  36. 36.Statements: No bags are cups. All coins are cups. Conclusion: No coins are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  37. 37.Statements: Some books are rings. Some cups are rings. Conclusion: Some cups are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  38. 38.Statements: All boxes are pens. No balls are pens. Conclusion: No boxes are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  39. 39.Statements: No pens are balls. Some pens are keys. Conclusion: All balls are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  40. 40.Statements: All books are shoes. No boxes are shoes. Conclusion: No books are boxes. 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. Yes
  7. No
  8. No
  9. No
  10. No
  11. No
  12. Yes
  13. No
  14. Yes
  15. No
  16. Yes
  17. No
  18. No
  19. No
  20. No
  21. No
  22. Yes
  23. No
  24. No
  25. No
  26. No
  27. Yes
  28. No
  29. No
  30. No
  31. Yes
  32. Yes
  33. Yes
  34. No
  35. Yes
  36. Yes
  37. No
  38. Yes
  39. No
  40. Yes

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