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Syllogism Worksheet

Logical reasoning lesson 21: Syllogisms · Set 66 · 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 coins are pens. All caps are coins. Conclusion: No pens are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  2. 2.Statements: All rings are pens. All rings are cups. Conclusion: All pens are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  3. 3.Statements: No bells are cups. All caps are cups. Conclusion: All caps are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  4. 4.Statements: Some boxes are keys. Some caps are boxes. Conclusion: Some keys are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  5. 5.Statements: Some books are coins. No coins are toys. Conclusion: Some books are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  6. 6.Statements: Some balls are toys. All balls are books. Conclusion: No books are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  7. 7.Statements: No coins are bells. All shoes are coins. Conclusion: No shoes are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  8. 8.Statements: Some balls are caps. All balls are bags. Conclusion: Some caps are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  9. 9.Statements: All books are rings. No rings are pens. Conclusion: No books are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  10. 10.Statements: All rings are toys. Some rings are kites. Conclusion: No kites are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  11. 11.Statements: No kites are bells. Some coins are bells. Conclusion: No coins are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  12. 12.Statements: Some boxes are bells. No boxes are toys. Conclusion: No bells are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  13. 13.Statements: All bells are cups. All bells are toys. Conclusion: No cups are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  14. 14.Statements: Some boxes are keys. All keys are coins. Conclusion: No boxes are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  15. 15.Statements: All shoes are caps. Some shoes are rings. Conclusion: Some caps are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  16. 16.Statements: Some bags are cups. All kites are cups. Conclusion: Some kites are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  17. 17.Statements: Some boxes are bells. All bells are books. Conclusion: No books are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  18. 18.Statements: All caps are pens. All bags are caps. Conclusion: No bags are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  19. 19.Statements: Some balls are shoes. All rings are shoes. Conclusion: All rings are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  20. 20.Statements: All boxes are kites. Some toys are kites. Conclusion: All toys are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  21. 21.Statements: No coins are shoes. Some shoes are cups. Conclusion: All coins are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  22. 22.Statements: All rings are bells. No books are bells. Conclusion: No rings are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  23. 23.Statements: Some toys are bells. Some kites are bells. Conclusion: No toys are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  24. 24.Statements: All rings are bells. No bells are balls. Conclusion: Some rings are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  25. 25.Statements: All shoes are caps. No shoes are pens. Conclusion: All caps are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  26. 26.Statements: All bells are caps. All boxes are bells. Conclusion: All caps are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  27. 27.Statements: No books are boxes. All rings are books. Conclusion: No rings are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  28. 28.Statements: Some pens are balls. All balls are boxes. Conclusion: No boxes are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  29. 29.Statements: All bags are books. No books are bells. Conclusion: No bags are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  30. 30.Statements: No cups are pens. All boxes are cups. Conclusion: No boxes are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  31. 31.Statements: Some balls are bags. Some balls are cups. Conclusion: All bags are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  32. 32.Statements: All coins are shoes. All coins are pens. Conclusion: Some pens are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  33. 33.Statements: All keys are boxes. No boxes are cups. Conclusion: No cups are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  34. 34.Statements: No kites are bells. Some bells are shoes. Conclusion: No kites are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  35. 35.Statements: No cups are books. No coins are books. Conclusion: All cups are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  36. 36.Statements: No toys are rings. No rings are books. Conclusion: No toys are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  37. 37.Statements: All rings are keys. No keys are boxes. Conclusion: Some rings are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  38. 38.Statements: No coins are boxes. All boxes are toys. Conclusion: All toys are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  39. 39.Statements: No bags are cups. All books are bags. Conclusion: All books are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  40. 40.Statements: All kites are caps. Some bells are caps. Conclusion: All bells are kites. 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. Yes
  8. Yes
  9. Yes
  10. No
  11. No
  12. No
  13. No
  14. No
  15. Yes
  16. No
  17. No
  18. No
  19. No
  20. No
  21. No
  22. Yes
  23. No
  24. No
  25. No
  26. No
  27. Yes
  28. No
  29. Yes
  30. Yes
  31. No
  32. Yes
  33. Yes
  34. No
  35. No
  36. No
  37. No
  38. No
  39. No
  40. No

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