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Syllogism Worksheet

Logical reasoning lesson 21: Syllogisms · Set 405 · 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 pens. All pens are coins. Conclusion: Some balls are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  2. 2.Statements: All books are shoes. All pens are books. Conclusion: No pens are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  3. 3.Statements: Some coins are balls. Some kites are balls. Conclusion: All kites are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  4. 4.Statements: No caps are books. Some books are kites. Conclusion: Some caps are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  5. 5.Statements: Some shoes are coins. No shoes are bells. Conclusion: Some coins are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  6. 6.Statements: All coins are boxes. No coins are rings. Conclusion: Some boxes are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  7. 7.Statements: Some toys are keys. No keys are pens. Conclusion: No toys are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  8. 8.Statements: All toys are boxes. No cups are boxes. Conclusion: No toys are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  9. 9.Statements: No books are coins. All pens are coins. Conclusion: No books are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  10. 10.Statements: Some books are boxes. Some pens are boxes. Conclusion: All pens are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  11. 11.Statements: All cups are boxes. No boxes are pens. Conclusion: All cups are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  12. 12.Statements: All bags are coins. Some bags are kites. Conclusion: Some coins are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  13. 13.Statements: All keys are cups. No keys are rings. Conclusion: No rings are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  14. 14.Statements: No books are pens. No caps are pens. Conclusion: All caps are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  15. 15.Statements: Some pens are cups. Some pens are kites. Conclusion: All cups are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  16. 16.Statements: Some cups are boxes. No rings are cups. Conclusion: All rings are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  17. 17.Statements: No shoes are rings. Some bags are shoes. Conclusion: Some bags are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  18. 18.Statements: Some bells are bags. Some bells are books. Conclusion: Some books are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  19. 19.Statements: No pens are boxes. Some pens are cups. Conclusion: All cups are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  20. 20.Statements: No bags are books. No kites are books. Conclusion: All bags are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  21. 21.Statements: All bags are boxes. No boxes are caps. Conclusion: All bags are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  22. 22.Statements: All keys are bags. All cups are keys. Conclusion: Some cups are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  23. 23.Statements: No books are shoes. All kites are books. Conclusion: All shoes are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  24. 24.Statements: Some caps are cups. All toys are cups. Conclusion: All toys are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  25. 25.Statements: Some bells are rings. All rings are cups. Conclusion: Some bells are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  26. 26.Statements: No bags are toys. Some books are toys. Conclusion: All books are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  27. 27.Statements: All toys are pens. Some pens are bells. Conclusion: Some bells are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  28. 28.Statements: No cups are caps. No kites are caps. Conclusion: Some kites are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  29. 29.Statements: Some rings are bags. No caps are bags. Conclusion: All caps are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  30. 30.Statements: All pens are rings. Some pens are balls. Conclusion: Some rings are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  31. 31.Statements: All keys are shoes. Some bags are keys. Conclusion: Some shoes are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  32. 32.Statements: Some bells are caps. Some caps are kites. Conclusion: No bells are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  33. 33.Statements: All balls are toys. All coins are balls. Conclusion: All coins are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  34. 34.Statements: All toys are books. All books are cups. Conclusion: All cups are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  35. 35.Statements: Some pens are bags. All pens are cups. Conclusion: Some cups are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  36. 36.Statements: All caps are toys. Some bells are toys. Conclusion: All bells are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  37. 37.Statements: No books are pens. All bells are books. Conclusion: Some pens are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  38. 38.Statements: No books are toys. Some books are boxes. Conclusion: No toys are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  39. 39.Statements: All balls are bags. All pens are bags. Conclusion: All pens are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  40. 40.Statements: No toys are pens. All pens are cups. Conclusion: All toys are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No

Answer key

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

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