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Syllogism Worksheet

Logical reasoning lesson 21: Syllogisms · Set 342 · 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 bags are coins. No bags are boxes. Conclusion: Some coins are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  2. 2.Statements: Some shoes are bags. All bags are books. Conclusion: Some shoes are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  3. 3.Statements: Some keys are pens. All pens are toys. Conclusion: Some keys are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  4. 4.Statements: Some bags are shoes. All bags are balls. Conclusion: All balls are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  5. 5.Statements: Some balls are shoes. All shoes are coins. Conclusion: Some balls are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  6. 6.Statements: No bells are bags. All keys are bells. Conclusion: Some keys are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  7. 7.Statements: Some caps are toys. All toys are books. Conclusion: Some caps are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  8. 8.Statements: All kites are boxes. All kites are shoes. Conclusion: No boxes are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  9. 9.Statements: No shoes are keys. All shoes are rings. Conclusion: All rings are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  10. 10.Statements: All shoes are balls. Some cups are shoes. Conclusion: Some balls are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  11. 11.Statements: No keys are books. All keys are balls. Conclusion: No books are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  12. 12.Statements: All kites are toys. No kites are coins. Conclusion: Some coins are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  13. 13.Statements: All cups are kites. No balls are kites. Conclusion: All balls are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  14. 14.Statements: Some coins are pens. No pens are toys. Conclusion: Some coins are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  15. 15.Statements: All balls are books. Some coins are balls. Conclusion: Some books are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  16. 16.Statements: No books are cups. No coins are books. Conclusion: All coins are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  17. 17.Statements: Some pens are rings. All pens are balls. Conclusion: Some balls are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  18. 18.Statements: Some pens are kites. Some boxes are kites. Conclusion: All boxes are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  19. 19.Statements: No coins are bags. Some shoes are coins. Conclusion: No shoes are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  20. 20.Statements: All balls are toys. No toys are boxes. Conclusion: No balls are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  21. 21.Statements: All rings are boxes. Some boxes are bags. Conclusion: No rings are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  22. 22.Statements: Some bells are cups. Some bells are books. Conclusion: Some cups are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  23. 23.Statements: All bags are cups. All rings are bags. Conclusion: No rings are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  24. 24.Statements: All books are rings. All books are bags. Conclusion: No rings are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  25. 25.Statements: No boxes are balls. All balls are coins. Conclusion: Some coins are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  26. 26.Statements: All kites are coins. All bags are kites. Conclusion: Some bags are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  27. 27.Statements: No cups are coins. No bells are cups. Conclusion: All bells are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  28. 28.Statements: Some pens are cups. No bags are cups. Conclusion: All pens are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  29. 29.Statements: No bells are kites. Some bells are pens. Conclusion: No kites are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  30. 30.Statements: All keys are rings. All boxes are keys. Conclusion: No boxes are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  31. 31.Statements: All bags are caps. All caps are boxes. Conclusion: No bags are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  32. 32.Statements: Some coins are toys. All toys are bags. Conclusion: No bags are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  33. 33.Statements: All kites are bags. No boxes are bags. Conclusion: No boxes are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  34. 34.Statements: All bells are rings. All rings are keys. Conclusion: Some keys are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  35. 35.Statements: All caps are balls. All balls are keys. Conclusion: All keys are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  36. 36.Statements: No boxes are kites. Some rings are boxes. Conclusion: All kites are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  37. 37.Statements: All rings are bags. All rings are kites. Conclusion: Some kites are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  38. 38.Statements: Some caps are shoes. No balls are shoes. Conclusion: Some balls are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  39. 39.Statements: All toys are boxes. All toys are bags. Conclusion: Some bags are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  40. 40.Statements: No balls are pens. No keys are pens. Conclusion: All keys are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No

Answer key

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

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