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Syllogism Worksheet

Logical reasoning lesson 21: Syllogisms · Set 289 · 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 books are balls. No cups are balls. Conclusion: Some books are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  2. 2.Statements: Some keys are kites. No kites are bells. Conclusion: No bells are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  3. 3.Statements: All toys are bags. All bags are caps. Conclusion: All caps are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  4. 4.Statements: All toys are boxes. No toys are kites. Conclusion: No kites are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  5. 5.Statements: All toys are bells. No bags are bells. Conclusion: No bags are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  6. 6.Statements: All toys are balls. Some pens are toys. Conclusion: Some balls are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  7. 7.Statements: Some cups are balls. All balls are shoes. Conclusion: No cups are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  8. 8.Statements: All shoes are bells. All bells are kites. Conclusion: All shoes are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  9. 9.Statements: All bags are balls. All toys are bags. Conclusion: All toys are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  10. 10.Statements: All bells are bags. All toys are bells. Conclusion: All bags are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  11. 11.Statements: All cups are rings. Some rings are bells. Conclusion: Some bells are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  12. 12.Statements: All books are pens. Some keys are pens. Conclusion: No books are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  13. 13.Statements: All balls are rings. No bags are rings. Conclusion: All balls are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  14. 14.Statements: Some bags are books. All books are caps. Conclusion: All bags are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  15. 15.Statements: All books are bags. All books are cups. Conclusion: Some bags are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  16. 16.Statements: Some cups are books. All cups are balls. Conclusion: Some books are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  17. 17.Statements: Some toys are caps. All caps are keys. Conclusion: Some toys are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  18. 18.Statements: All shoes are bags. All coins are bags. Conclusion: Some shoes are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  19. 19.Statements: All toys are books. All coins are books. Conclusion: No toys are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  20. 20.Statements: Some bags are pens. No bags are boxes. Conclusion: All pens are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  21. 21.Statements: Some pens are boxes. No pens are toys. Conclusion: All toys are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  22. 22.Statements: No keys are pens. Some keys are cups. Conclusion: Some cups are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  23. 23.Statements: All bells are pens. All bells are kites. Conclusion: No kites are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  24. 24.Statements: All bags are boxes. All bags are books. Conclusion: Some boxes are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  25. 25.Statements: All cups are caps. All caps are books. Conclusion: All books are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  26. 26.Statements: Some caps are cups. All caps are books. Conclusion: Some books are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  27. 27.Statements: All pens are shoes. All shoes are bags. Conclusion: Some pens are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  28. 28.Statements: All boxes are bags. All pens are boxes. Conclusion: Some pens are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  29. 29.Statements: All bells are caps. No caps are boxes. Conclusion: All bells are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  30. 30.Statements: Some bells are caps. No toys are caps. Conclusion: Some bells are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  31. 31.Statements: Some balls are bells. All bells are pens. Conclusion: Some balls are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  32. 32.Statements: All caps are rings. All rings are pens. Conclusion: Some pens are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  33. 33.Statements: All toys are cups. No balls are cups. Conclusion: No toys are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  34. 34.Statements: All caps are boxes. No keys are boxes. Conclusion: All caps are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  35. 35.Statements: Some cups are boxes. No cups are bags. Conclusion: Some bags are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  36. 36.Statements: All cups are rings. All rings are balls. Conclusion: All cups are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  37. 37.Statements: All bags are books. Some bags are rings. Conclusion: Some books are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  38. 38.Statements: All bags are caps. All books are bags. Conclusion: All caps are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  39. 39.Statements: No coins are pens. No coins are bags. Conclusion: All bags are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  40. 40.Statements: All bells are shoes. All shoes are kites. Conclusion: All kites 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. Yes
  7. No
  8. Yes
  9. Yes
  10. No
  11. No
  12. No
  13. No
  14. No
  15. Yes
  16. Yes
  17. Yes
  18. No
  19. No
  20. No
  21. No
  22. No
  23. No
  24. Yes
  25. No
  26. Yes
  27. Yes
  28. Yes
  29. No
  30. No
  31. Yes
  32. Yes
  33. Yes
  34. No
  35. No
  36. Yes
  37. Yes
  38. No
  39. No
  40. No

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