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Syllogism Worksheet

Logical reasoning lesson 21: Syllogisms · Set 330 · 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 keys are bags. No boxes are bags. Conclusion: All keys are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  2. 2.Statements: Some bells are toys. Some rings are toys. Conclusion: All rings are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  3. 3.Statements: All balls are bags. No cups are bags. Conclusion: No balls are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  4. 4.Statements: All keys are caps. No keys are shoes. Conclusion: All caps are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  5. 5.Statements: No keys are shoes. All keys are pens. Conclusion: All shoes are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  6. 6.Statements: No coins are bags. No boxes are coins. Conclusion: All boxes are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  7. 7.Statements: Some pens are kites. No rings are kites. Conclusion: All rings are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  8. 8.Statements: Some books are coins. Some shoes are coins. Conclusion: All books are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  9. 9.Statements: Some books are keys. All keys are shoes. Conclusion: No books are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  10. 10.Statements: Some coins are boxes. All boxes are pens. Conclusion: Some pens are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  11. 11.Statements: All pens are boxes. Some pens are balls. Conclusion: No balls are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  12. 12.Statements: Some pens are rings. Some coins are pens. Conclusion: No rings are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  13. 13.Statements: Some coins are toys. All toys are caps. Conclusion: Some coins are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  14. 14.Statements: No cups are shoes. All caps are cups. Conclusion: All shoes are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  15. 15.Statements: All cups are books. No books are caps. Conclusion: All cups are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  16. 16.Statements: Some bags are boxes. All boxes are keys. Conclusion: No keys are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  17. 17.Statements: Some coins are shoes. All coins are books. Conclusion: No books are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  18. 18.Statements: All balls are bags. All bags are caps. Conclusion: No balls are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  19. 19.Statements: All bags are toys. All bags are cups. Conclusion: Some toys are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  20. 20.Statements: Some toys are coins. All toys are bags. Conclusion: Some coins are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  21. 21.Statements: All boxes are bags. Some bags are pens. Conclusion: Some pens are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  22. 22.Statements: All books are kites. All shoes are books. Conclusion: All shoes are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  23. 23.Statements: All pens are boxes. Some coins are pens. Conclusion: Some coins are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  24. 24.Statements: No pens are kites. All rings are kites. Conclusion: No pens are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  25. 25.Statements: All books are caps. All balls are books. Conclusion: No balls are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  26. 26.Statements: All pens are bags. No cups are bags. Conclusion: No cups are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  27. 27.Statements: No toys are balls. Some books are toys. Conclusion: No balls are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  28. 28.Statements: All pens are coins. All pens are kites. Conclusion: No kites are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  29. 29.Statements: No bags are caps. Some keys are bags. Conclusion: All caps are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  30. 30.Statements: No bags are keys. All cups are bags. Conclusion: Some keys are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  31. 31.Statements: No coins are boxes. Some keys are coins. Conclusion: All boxes are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  32. 32.Statements: Some balls are bags. All books are bags. Conclusion: All balls are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  33. 33.Statements: All caps are bags. No bags are keys. Conclusion: All keys are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  34. 34.Statements: All bells are caps. No caps are shoes. Conclusion: No bells are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  35. 35.Statements: Some boxes are pens. Some pens are balls. Conclusion: No balls are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  36. 36.Statements: Some bags are caps. No balls are bags. Conclusion: All caps are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  37. 37.Statements: Some coins are bags. All bags are keys. Conclusion: Some coins are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  38. 38.Statements: All bells are boxes. Some cups are boxes. Conclusion: Some cups are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  39. 39.Statements: All coins are shoes. No shoes are bags. Conclusion: No coins are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  40. 40.Statements: All bells are coins. All coins are cups. Conclusion: No cups are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No

Answer key

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

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