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Syllogism Worksheet

Logical reasoning lesson 21: Syllogisms · Set 334 · 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 rings are shoes. All toys are rings. Conclusion: All toys are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  2. 2.Statements: Some coins are boxes. Some coins are pens. Conclusion: Some boxes are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  3. 3.Statements: All balls are rings. All balls are coins. Conclusion: Some rings are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  4. 4.Statements: Some coins are cups. Some books are coins. Conclusion: All cups are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  5. 5.Statements: All coins are caps. No coins are kites. Conclusion: Some kites are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  6. 6.Statements: No pens are books. Some kites are pens. Conclusion: Some kites are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  7. 7.Statements: No coins are bells. All coins are shoes. Conclusion: All shoes are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  8. 8.Statements: No pens are bags. All cups are bags. Conclusion: No pens are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  9. 9.Statements: All cups are bags. Some cups are toys. Conclusion: No bags are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  10. 10.Statements: No boxes are balls. No keys are balls. Conclusion: All boxes are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  11. 11.Statements: No books are bags. No books are caps. Conclusion: All bags are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  12. 12.Statements: Some keys are boxes. All keys are coins. Conclusion: All coins are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  13. 13.Statements: Some balls are coins. No toys are coins. Conclusion: Some balls are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  14. 14.Statements: Some kites are rings. Some shoes are kites. Conclusion: Some rings are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  15. 15.Statements: No pens are toys. No keys are pens. Conclusion: No toys are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  16. 16.Statements: All toys are balls. All toys are pens. Conclusion: Some balls are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  17. 17.Statements: Some toys are shoes. No shoes are books. Conclusion: All books are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  18. 18.Statements: No bags are cups. No cups are caps. Conclusion: All caps are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  19. 19.Statements: All balls are bells. No coins are bells. Conclusion: No coins are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  20. 20.Statements: All books are shoes. All books are cups. Conclusion: All cups are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  21. 21.Statements: All coins are balls. All books are coins. Conclusion: All books are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  22. 22.Statements: Some keys are books. Some books are rings. Conclusion: All rings are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  23. 23.Statements: All shoes are rings. All rings are caps. Conclusion: No shoes are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  24. 24.Statements: All kites are bags. All bags are pens. Conclusion: All kites are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  25. 25.Statements: All pens are coins. Some pens are toys. Conclusion: No coins are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  26. 26.Statements: No bags are rings. All bells are bags. Conclusion: Some rings are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  27. 27.Statements: All caps are bags. No pens are bags. Conclusion: No caps are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  28. 28.Statements: Some kites are cups. Some shoes are cups. Conclusion: Some kites are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  29. 29.Statements: All kites are keys. All keys are toys. Conclusion: No toys are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  30. 30.Statements: No kites are caps. No pens are kites. Conclusion: All pens are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  31. 31.Statements: All cups are coins. Some cups are books. Conclusion: All coins are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  32. 32.Statements: All books are rings. All pens are books. Conclusion: All pens are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  33. 33.Statements: All books are coins. All coins are shoes. Conclusion: Some shoes are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  34. 34.Statements: All rings are bags. Some bags are toys. Conclusion: All rings are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  35. 35.Statements: Some toys are kites. Some rings are kites. Conclusion: Some rings are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  36. 36.Statements: All coins are boxes. Some bags are boxes. Conclusion: All coins are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  37. 37.Statements: No coins are boxes. All bags are coins. Conclusion: Some bags are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  38. 38.Statements: Some kites are boxes. No kites are books. Conclusion: No boxes are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  39. 39.Statements: No coins are caps. All kites are caps. Conclusion: All kites are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  40. 40.Statements: All boxes are kites. All coins are boxes. Conclusion: No coins are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No

Answer key

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

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