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Syllogism Worksheet

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

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