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Syllogism Worksheet

Logical reasoning lesson 21: Syllogisms · Set 106 · 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 shoes are caps. No caps are keys. Conclusion: No keys are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  2. 2.Statements: All balls are books. All balls are rings. Conclusion: All rings are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  3. 3.Statements: All rings are bags. No bags are books. Conclusion: No books are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  4. 4.Statements: Some balls are cups. No rings are cups. Conclusion: Some rings are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  5. 5.Statements: All boxes are pens. No pens are books. Conclusion: No books are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  6. 6.Statements: No toys are coins. All boxes are toys. Conclusion: Some boxes are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  7. 7.Statements: No boxes are keys. All coins are boxes. Conclusion: All keys are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  8. 8.Statements: All bells are caps. All pens are bells. Conclusion: No caps are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  9. 9.Statements: Some coins are shoes. All coins are kites. Conclusion: All kites are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  10. 10.Statements: Some bags are caps. No bags are toys. Conclusion: Some toys are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  11. 11.Statements: Some toys are pens. All pens are bags. Conclusion: Some toys are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  12. 12.Statements: Some bells are balls. All bells are caps. Conclusion: No balls are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  13. 13.Statements: No shoes are bags. All pens are shoes. Conclusion: No pens are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  14. 14.Statements: Some balls are boxes. Some caps are boxes. Conclusion: All caps are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  15. 15.Statements: No books are caps. All coins are books. Conclusion: All caps are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  16. 16.Statements: No pens are balls. All rings are pens. Conclusion: No balls are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  17. 17.Statements: Some keys are bells. All keys are rings. Conclusion: All bells are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  18. 18.Statements: All bells are shoes. Some coins are shoes. Conclusion: Some bells are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  19. 19.Statements: All books are rings. No rings are bags. Conclusion: No books are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  20. 20.Statements: All books are rings. All rings are toys. Conclusion: All books are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  21. 21.Statements: All caps are shoes. No shoes are cups. Conclusion: Some caps are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  22. 22.Statements: All balls are bells. All bells are caps. Conclusion: Some balls are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  23. 23.Statements: Some kites are shoes. Some kites are keys. Conclusion: Some shoes are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  24. 24.Statements: All cups are boxes. Some boxes are books. Conclusion: All books are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  25. 25.Statements: No toys are shoes. All caps are toys. Conclusion: No shoes are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  26. 26.Statements: No rings are caps. All rings are toys. Conclusion: All toys are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  27. 27.Statements: Some bells are coins. Some bells are caps. Conclusion: Some caps are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  28. 28.Statements: All boxes are books. Some boxes are caps. Conclusion: Some books are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  29. 29.Statements: Some caps are rings. All rings are books. Conclusion: All caps are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  30. 30.Statements: All rings are books. No rings are cups. Conclusion: All cups are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  31. 31.Statements: Some books are pens. All books are bags. Conclusion: Some bags are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  32. 32.Statements: Some books are boxes. Some boxes are kites. Conclusion: No kites are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  33. 33.Statements: All pens are caps. Some pens are rings. Conclusion: All caps are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  34. 34.Statements: All balls are keys. Some balls are toys. Conclusion: Some toys are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  35. 35.Statements: All bags are toys. Some bags are pens. Conclusion: Some pens are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  36. 36.Statements: All boxes are bags. Some boxes are shoes. Conclusion: No bags are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  37. 37.Statements: All caps are balls. All balls are kites. Conclusion: Some caps are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  38. 38.Statements: All toys are caps. No boxes are toys. Conclusion: All caps are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  39. 39.Statements: No books are pens. No shoes are books. Conclusion: No pens are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  40. 40.Statements: All bells are books. Some bells are bags. Conclusion: Some bags are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No

Answer key

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

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