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Syllogism Worksheet

Logical reasoning lesson 21: Syllogisms · Set 68 · 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 bells. Some bells are shoes. Conclusion: All pens are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  2. 2.Statements: All bags are balls. All bags are boxes. Conclusion: Some balls are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  3. 3.Statements: All coins are keys. All keys are pens. Conclusion: Some pens are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  4. 4.Statements: Some bags are rings. No bells are bags. Conclusion: No rings are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  5. 5.Statements: Some bells are books. Some bells are bags. Conclusion: No books are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  6. 6.Statements: All toys are cups. Some cups are shoes. Conclusion: No toys are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  7. 7.Statements: Some keys are cups. No bells are cups. Conclusion: Some keys are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  8. 8.Statements: All bags are bells. Some bells are books. Conclusion: Some bags are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  9. 9.Statements: No bells are keys. All bags are bells. Conclusion: No keys are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  10. 10.Statements: All caps are balls. No bells are caps. Conclusion: Some balls are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  11. 11.Statements: All rings are kites. No kites are boxes. Conclusion: All boxes are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  12. 12.Statements: Some bags are pens. No books are bags. Conclusion: Some books are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  13. 13.Statements: All keys are shoes. Some pens are shoes. Conclusion: Some pens are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  14. 14.Statements: All books are toys. Some books are kites. Conclusion: No kites are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  15. 15.Statements: No shoes are rings. Some keys are shoes. Conclusion: Some rings are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  16. 16.Statements: Some keys are bags. No pens are keys. Conclusion: No bags are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  17. 17.Statements: Some shoes are cups. All keys are cups. Conclusion: All keys are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  18. 18.Statements: All rings are coins. All bells are rings. Conclusion: All coins are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  19. 19.Statements: Some coins are toys. No toys are cups. Conclusion: All cups are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  20. 20.Statements: All rings are caps. All caps are balls. Conclusion: Some balls are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  21. 21.Statements: Some rings are kites. All rings are bags. Conclusion: All kites are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  22. 22.Statements: No shoes are caps. No shoes are boxes. Conclusion: Some caps are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  23. 23.Statements: All bells are bags. All bags are caps. Conclusion: Some caps are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  24. 24.Statements: All caps are books. Some bags are books. Conclusion: All caps are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  25. 25.Statements: All caps are bells. All toys are caps. Conclusion: All bells are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  26. 26.Statements: Some balls are bags. All bells are bags. Conclusion: Some bells are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  27. 27.Statements: Some boxes are cups. All cups are toys. Conclusion: No toys are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  28. 28.Statements: All boxes are pens. No kites are boxes. Conclusion: All pens are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  29. 29.Statements: No pens are kites. No keys are pens. Conclusion: Some kites are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  30. 30.Statements: Some keys are rings. No keys are pens. Conclusion: Some rings are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  31. 31.Statements: All boxes are balls. All books are boxes. Conclusion: Some balls are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  32. 32.Statements: All bells are rings. No bells are pens. Conclusion: Some rings are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  33. 33.Statements: All bells are pens. All pens are boxes. Conclusion: No bells are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  34. 34.Statements: No kites are pens. All bags are pens. Conclusion: No bags are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  35. 35.Statements: All kites are books. No pens are books. Conclusion: All kites are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  36. 36.Statements: All boxes are bags. All boxes are books. Conclusion: Some books are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  37. 37.Statements: All bags are bells. All coins are bags. Conclusion: No bells are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  38. 38.Statements: No keys are balls. Some keys are coins. Conclusion: No coins are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  39. 39.Statements: All pens are toys. No pens are rings. Conclusion: No rings are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  40. 40.Statements: All pens are rings. No rings are bells. Conclusion: No pens are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No

Answer key

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

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