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Syllogism Worksheet

Logical reasoning lesson 21: Syllogisms · Set 145 · 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 bags are coins. No bags are toys. Conclusion: No toys are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  2. 2.Statements: All books are bags. Some books are bells. Conclusion: All bells are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  3. 3.Statements: All books are bags. No bags are rings. Conclusion: No rings are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  4. 4.Statements: No balls are cups. No balls are bags. Conclusion: No cups are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  5. 5.Statements: Some cups are bags. All cups are books. Conclusion: Some bags are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  6. 6.Statements: No boxes are coins. All rings are coins. Conclusion: Some boxes are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  7. 7.Statements: All boxes are bags. All shoes are boxes. Conclusion: Some bags are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  8. 8.Statements: No cups are boxes. No keys are cups. Conclusion: All keys are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  9. 9.Statements: All bells are balls. Some toys are balls. Conclusion: All bells are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  10. 10.Statements: Some books are balls. Some bells are books. Conclusion: No balls are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  11. 11.Statements: No books are boxes. Some boxes are bags. Conclusion: Some bags are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  12. 12.Statements: No bells are boxes. All bells are rings. Conclusion: All rings are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  13. 13.Statements: No books are bags. Some books are pens. Conclusion: Some bags are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  14. 14.Statements: No pens are shoes. All books are shoes. Conclusion: All books are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  15. 15.Statements: Some caps are rings. Some caps are pens. Conclusion: All pens are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  16. 16.Statements: Some pens are bells. Some bells are boxes. Conclusion: No boxes are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  17. 17.Statements: All boxes are bags. All bags are bells. Conclusion: All boxes are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  18. 18.Statements: No keys are pens. All pens are books. Conclusion: All keys are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  19. 19.Statements: All shoes are bells. All bells are balls. Conclusion: Some shoes are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  20. 20.Statements: No bells are kites. No shoes are kites. Conclusion: All shoes are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  21. 21.Statements: Some shoes are bells. All shoes are pens. Conclusion: No bells are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  22. 22.Statements: All keys are kites. All keys are bags. Conclusion: No bags are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  23. 23.Statements: All books are coins. All caps are books. Conclusion: No coins are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  24. 24.Statements: Some kites are rings. All rings are toys. Conclusion: Some kites are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  25. 25.Statements: Some keys are rings. All pens are rings. Conclusion: All keys are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  26. 26.Statements: All books are shoes. Some books are balls. Conclusion: Some balls are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  27. 27.Statements: All cups are boxes. No boxes are keys. Conclusion: No keys are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  28. 28.Statements: All pens are boxes. All pens are caps. Conclusion: Some caps are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  29. 29.Statements: Some books are balls. Some balls are cups. Conclusion: No books are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  30. 30.Statements: All boxes are keys. All boxes are shoes. Conclusion: Some shoes are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  31. 31.Statements: All kites are cups. No books are cups. Conclusion: Some books are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  32. 32.Statements: All rings are caps. Some caps are pens. Conclusion: Some rings are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  33. 33.Statements: All keys are caps. Some bells are keys. Conclusion: Some caps are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  34. 34.Statements: Some pens are toys. All toys are bells. Conclusion: Some pens are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  35. 35.Statements: No bags are boxes. No boxes are rings. Conclusion: Some bags are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  36. 36.Statements: All caps are coins. No coins are balls. Conclusion: No caps are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  37. 37.Statements: Some bells are keys. All keys are coins. Conclusion: All coins are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  38. 38.Statements: Some bells are toys. All bells are coins. Conclusion: Some toys are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  39. 39.Statements: No balls are keys. All bags are keys. Conclusion: No balls are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  40. 40.Statements: All coins are bags. No bags are kites. Conclusion: No coins are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No

Answer key

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

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