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Syllogism Worksheet

Logical reasoning lesson 21: Syllogisms · Set 50 · 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 balls are keys. No keys are books. Conclusion: No balls are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  2. 2.Statements: Some keys are books. Some kites are books. Conclusion: All keys are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  3. 3.Statements: All cups are pens. Some boxes are pens. Conclusion: Some boxes are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  4. 4.Statements: All toys are boxes. Some toys are cups. Conclusion: All cups are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  5. 5.Statements: All toys are bells. All balls are toys. Conclusion: Some balls are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  6. 6.Statements: All balls are cups. All keys are cups. Conclusion: No balls are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  7. 7.Statements: Some books are bells. All books are boxes. Conclusion: Some bells are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  8. 8.Statements: All books are cups. No shoes are cups. Conclusion: All books are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  9. 9.Statements: Some bells are keys. No cups are bells. Conclusion: All cups are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  10. 10.Statements: Some shoes are caps. Some caps are balls. Conclusion: All balls are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  11. 11.Statements: Some pens are shoes. All shoes are boxes. Conclusion: All pens are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  12. 12.Statements: Some keys are cups. Some kites are cups. Conclusion: All keys are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  13. 13.Statements: All bells are shoes. No pens are shoes. Conclusion: No bells are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  14. 14.Statements: All cups are books. All books are keys. Conclusion: All cups are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  15. 15.Statements: All caps are boxes. Some boxes are keys. Conclusion: No caps are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  16. 16.Statements: All bags are boxes. All shoes are bags. Conclusion: No shoes are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  17. 17.Statements: All bags are toys. All bags are balls. Conclusion: All toys are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  18. 18.Statements: All kites are coins. No rings are kites. Conclusion: Some rings are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  19. 19.Statements: Some pens are cups. All cups are balls. Conclusion: All pens are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  20. 20.Statements: No boxes are shoes. Some shoes are kites. Conclusion: Some boxes are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  21. 21.Statements: All books are bags. No balls are bags. Conclusion: Some books are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  22. 22.Statements: Some caps are books. No caps are cups. Conclusion: All cups are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  23. 23.Statements: All books are coins. No coins are balls. Conclusion: No books are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  24. 24.Statements: All books are rings. All books are caps. Conclusion: No rings are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  25. 25.Statements: All toys are keys. Some bells are keys. Conclusion: All bells are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  26. 26.Statements: All toys are shoes. Some cups are toys. Conclusion: No cups are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  27. 27.Statements: Some caps are toys. All caps are bags. Conclusion: Some toys are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  28. 28.Statements: Some books are pens. All books are caps. Conclusion: Some caps are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  29. 29.Statements: No toys are balls. Some toys are keys. Conclusion: All keys are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  30. 30.Statements: Some coins are shoes. All shoes are bags. Conclusion: All coins are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  31. 31.Statements: Some coins are keys. All keys are cups. Conclusion: No cups are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  32. 32.Statements: All toys are bags. All toys are caps. Conclusion: Some bags are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  33. 33.Statements: All boxes are coins. Some boxes are balls. Conclusion: Some balls are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  34. 34.Statements: All caps are toys. No toys are shoes. Conclusion: No caps are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  35. 35.Statements: Some toys are kites. Some kites are bags. Conclusion: All bags are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  36. 36.Statements: No pens are bags. All kites are bags. Conclusion: Some kites are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  37. 37.Statements: No kites are pens. All shoes are kites. Conclusion: All pens are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  38. 38.Statements: No rings are coins. All cups are rings. Conclusion: No cups are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  39. 39.Statements: All coins are kites. No coins are boxes. Conclusion: Some kites are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  40. 40.Statements: Some bags are cups. All cups are boxes. Conclusion: Some boxes are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No

Answer key

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

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