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Syllogism Worksheet

Logical reasoning lesson 21: Syllogisms · Set 83 · 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 coins are keys. No coins are cups. Conclusion: Some keys are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  2. 2.Statements: Some bags are coins. All coins are keys. Conclusion: Some keys are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  3. 3.Statements: Some kites are balls. All balls are coins. Conclusion: All coins are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  4. 4.Statements: All books are balls. All balls are pens. Conclusion: All books are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  5. 5.Statements: Some toys are boxes. All toys are caps. Conclusion: All boxes are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  6. 6.Statements: Some coins are caps. No keys are coins. Conclusion: No keys are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  7. 7.Statements: Some boxes are shoes. All kites are shoes. Conclusion: All kites are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  8. 8.Statements: All rings are caps. No caps are bells. Conclusion: No rings are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  9. 9.Statements: Some bells are pens. All kites are bells. Conclusion: Some kites are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  10. 10.Statements: No books are bells. All caps are books. Conclusion: No caps are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  11. 11.Statements: Some balls are bags. No boxes are bags. Conclusion: Some balls are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  12. 12.Statements: All shoes are rings. Some caps are shoes. Conclusion: No caps are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  13. 13.Statements: All caps are coins. All boxes are caps. Conclusion: All boxes are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  14. 14.Statements: All caps are keys. Some pens are caps. Conclusion: No pens are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  15. 15.Statements: All bags are kites. No pens are kites. Conclusion: Some bags are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  16. 16.Statements: Some bells are bags. All bells are shoes. Conclusion: All bags are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  17. 17.Statements: Some balls are bags. All balls are shoes. Conclusion: Some shoes are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  18. 18.Statements: All bells are cups. Some boxes are cups. Conclusion: No boxes are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  19. 19.Statements: All caps are toys. Some toys are shoes. Conclusion: All caps are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  20. 20.Statements: All keys are kites. Some keys are cups. Conclusion: Some cups are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  21. 21.Statements: All keys are bags. No caps are bags. Conclusion: No caps are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  22. 22.Statements: No shoes are cups. All bags are shoes. Conclusion: No bags are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  23. 23.Statements: All rings are pens. No rings are kites. Conclusion: All pens are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  24. 24.Statements: No shoes are kites. No shoes are keys. Conclusion: Some keys are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  25. 25.Statements: Some books are toys. All toys are pens. Conclusion: Some pens are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  26. 26.Statements: All caps are toys. All toys are pens. Conclusion: All caps are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  27. 27.Statements: Some pens are boxes. No boxes are shoes. Conclusion: All pens are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  28. 28.Statements: All kites are shoes. All shoes are bags. Conclusion: Some kites are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  29. 29.Statements: Some balls are cups. All cups are coins. Conclusion: Some balls are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  30. 30.Statements: Some bags are coins. All coins are kites. Conclusion: Some bags are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  31. 31.Statements: Some rings are boxes. No rings are shoes. Conclusion: All shoes are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  32. 32.Statements: All keys are kites. All keys are boxes. Conclusion: Some kites are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  33. 33.Statements: All bells are cups. Some rings are cups. Conclusion: All bells are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  34. 34.Statements: Some pens are toys. All toys are rings. Conclusion: All pens are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  35. 35.Statements: All coins are cups. Some kites are cups. Conclusion: All coins are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  36. 36.Statements: No bells are balls. All bells are bags. Conclusion: All balls are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  37. 37.Statements: Some boxes are balls. All boxes are kites. Conclusion: All balls are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  38. 38.Statements: All rings are books. All keys are books. Conclusion: All rings are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  39. 39.Statements: Some caps are boxes. All caps are kites. Conclusion: Some boxes are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  40. 40.Statements: All bells are pens. All pens are kites. Conclusion: All kites are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No

Answer key

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

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