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Syllogism Worksheet

Logical reasoning lesson 21: Syllogisms · Set 157 · 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 caps are boxes. No keys are caps. Conclusion: No keys are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  2. 2.Statements: All shoes are caps. No keys are shoes. Conclusion: No caps are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  3. 3.Statements: All caps are cups. Some cups are coins. Conclusion: All caps are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  4. 4.Statements: No coins are balls. All coins are rings. Conclusion: Some rings are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  5. 5.Statements: All shoes are pens. No boxes are pens. Conclusion: No boxes are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  6. 6.Statements: No bags are balls. No kites are balls. Conclusion: All kites are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  7. 7.Statements: All bells are books. No boxes are bells. Conclusion: No boxes are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  8. 8.Statements: All toys are balls. No balls are books. Conclusion: No toys are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  9. 9.Statements: All caps are keys. All keys are books. Conclusion: Some caps are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  10. 10.Statements: All coins are cups. No books are coins. Conclusion: All cups are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  11. 11.Statements: Some rings are books. All books are keys. Conclusion: No rings are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  12. 12.Statements: No kites are books. All books are boxes. Conclusion: Some kites are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  13. 13.Statements: Some bags are boxes. No bags are coins. Conclusion: Some coins are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  14. 14.Statements: All books are pens. Some shoes are pens. Conclusion: All shoes are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  15. 15.Statements: No books are caps. All keys are caps. Conclusion: No keys are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  16. 16.Statements: All bags are cups. All bags are balls. Conclusion: Some balls are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  17. 17.Statements: Some coins are balls. No caps are coins. Conclusion: No balls are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  18. 18.Statements: No boxes are caps. All toys are caps. Conclusion: Some toys are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  19. 19.Statements: Some bags are bells. No bells are keys. Conclusion: All bags are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  20. 20.Statements: No shoes are bells. Some bells are bags. Conclusion: All shoes are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  21. 21.Statements: No bags are toys. Some cups are bags. Conclusion: All toys are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  22. 22.Statements: Some balls are bells. All bells are books. Conclusion: No balls are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  23. 23.Statements: Some books are pens. No books are bags. Conclusion: All bags are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  24. 24.Statements: Some toys are pens. All toys are bags. Conclusion: All bags are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  25. 25.Statements: All pens are kites. All kites are balls. Conclusion: Some balls are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  26. 26.Statements: All bells are pens. All bells are shoes. Conclusion: Some shoes are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  27. 27.Statements: All keys are cups. Some cups are books. Conclusion: All keys are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  28. 28.Statements: All bags are boxes. All bags are books. Conclusion: Some books are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  29. 29.Statements: Some bags are shoes. All shoes are kites. Conclusion: No bags are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  30. 30.Statements: All shoes are bells. All caps are shoes. Conclusion: No bells are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  31. 31.Statements: All keys are coins. Some boxes are coins. Conclusion: Some keys are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  32. 32.Statements: No kites are bags. All books are bags. Conclusion: All books are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  33. 33.Statements: No caps are rings. Some rings are bags. Conclusion: All caps are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  34. 34.Statements: All kites are keys. All kites are pens. Conclusion: Some pens are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  35. 35.Statements: All cups are bells. All cups are toys. Conclusion: Some toys are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  36. 36.Statements: No rings are bells. No rings are cups. Conclusion: No cups are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  37. 37.Statements: All boxes are shoes. No rings are shoes. Conclusion: No rings are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  38. 38.Statements: All balls are bells. All bells are pens. Conclusion: Some pens are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  39. 39.Statements: Some keys are cups. No toys are keys. Conclusion: All toys are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  40. 40.Statements: All bells are rings. All coins are rings. Conclusion: Some coins are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No

Answer key

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

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