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Syllogism Worksheet

Logical reasoning lesson 21: Syllogisms · Set 150 · 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 bells are cups. All books are bells. Conclusion: Some cups are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  2. 2.Statements: No coins are caps. All balls are coins. Conclusion: No balls are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  3. 3.Statements: No caps are toys. No toys are rings. Conclusion: No rings are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  4. 4.Statements: All rings are coins. Some rings are cups. Conclusion: Some coins are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  5. 5.Statements: No bells are balls. No shoes are bells. Conclusion: Some shoes are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  6. 6.Statements: No books are bags. All bags are kites. Conclusion: All books are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  7. 7.Statements: Some coins are pens. All pens are toys. Conclusion: Some coins are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  8. 8.Statements: All bags are bells. Some caps are bags. Conclusion: All bells are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  9. 9.Statements: All caps are kites. All rings are caps. Conclusion: All rings are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  10. 10.Statements: All pens are cups. All pens are books. Conclusion: Some cups are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  11. 11.Statements: No bells are bags. Some bags are books. Conclusion: No bells are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  12. 12.Statements: All coins are cups. All cups are books. Conclusion: All books are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  13. 13.Statements: Some balls are boxes. All boxes are rings. Conclusion: Some balls are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  14. 14.Statements: Some bells are pens. Some pens are kites. Conclusion: No kites are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  15. 15.Statements: All rings are balls. No balls are bells. Conclusion: No rings are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  16. 16.Statements: No rings are keys. Some coins are keys. Conclusion: All coins are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  17. 17.Statements: Some balls are shoes. No shoes are coins. Conclusion: All balls are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  18. 18.Statements: All pens are bells. All bells are cups. Conclusion: Some pens are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  19. 19.Statements: No keys are toys. All toys are cups. Conclusion: All cups are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  20. 20.Statements: All cups are balls. No cups are caps. Conclusion: Some balls are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  21. 21.Statements: No boxes are bags. No bags are pens. Conclusion: No boxes are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  22. 22.Statements: Some shoes are keys. Some shoes are bags. Conclusion: Some keys are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  23. 23.Statements: All rings are boxes. Some kites are rings. Conclusion: Some kites are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  24. 24.Statements: No bells are balls. No cups are balls. Conclusion: All bells are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  25. 25.Statements: No cups are bags. No toys are cups. Conclusion: Some bags are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  26. 26.Statements: No pens are kites. Some shoes are kites. Conclusion: No pens are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  27. 27.Statements: All bags are rings. All balls are rings. Conclusion: No balls are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  28. 28.Statements: All bells are balls. All bells are boxes. Conclusion: Some boxes are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  29. 29.Statements: All bells are coins. No bells are bags. Conclusion: All coins are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  30. 30.Statements: No balls are bags. Some pens are bags. Conclusion: No balls are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  31. 31.Statements: All shoes are caps. All caps are cups. Conclusion: No cups are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  32. 32.Statements: Some boxes are balls. Some rings are balls. Conclusion: All rings are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  33. 33.Statements: Some caps are coins. Some boxes are coins. Conclusion: All boxes are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  34. 34.Statements: All kites are books. Some kites are keys. Conclusion: No books are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  35. 35.Statements: All balls are kites. No boxes are kites. Conclusion: No boxes are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  36. 36.Statements: Some bags are books. No bags are rings. Conclusion: Some rings are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  37. 37.Statements: All balls are pens. All balls are bags. Conclusion: All pens are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  38. 38.Statements: Some bells are books. No bags are books. Conclusion: All bags are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  39. 39.Statements: All caps are pens. No pens are cups. Conclusion: All caps are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  40. 40.Statements: No books are balls. Some books are pens. Conclusion: All balls are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No

Answer key

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

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