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Syllogism Worksheet

Logical reasoning lesson 21: Syllogisms · Set 81 · 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 toys are pens. No kites are pens. Conclusion: Some toys are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  2. 2.Statements: Some pens are rings. Some rings are books. Conclusion: No pens are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  3. 3.Statements: No coins are books. No books are toys. Conclusion: Some toys are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  4. 4.Statements: Some balls are caps. All caps are cups. Conclusion: Some balls are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  5. 5.Statements: All pens are bags. No keys are bags. Conclusion: Some keys are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  6. 6.Statements: Some pens are bells. No cups are bells. Conclusion: No pens are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  7. 7.Statements: No bells are books. All pens are bells. Conclusion: No books are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  8. 8.Statements: No shoes are bags. No boxes are shoes. Conclusion: Some boxes are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  9. 9.Statements: Some books are coins. Some books are bags. Conclusion: Some coins are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  10. 10.Statements: All shoes are balls. No boxes are shoes. Conclusion: All boxes are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  11. 11.Statements: All shoes are keys. Some shoes are caps. Conclusion: No caps are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  12. 12.Statements: No rings are boxes. No shoes are rings. Conclusion: All shoes are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  13. 13.Statements: Some boxes are coins. Some coins are books. Conclusion: No books are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  14. 14.Statements: Some coins are rings. No rings are pens. Conclusion: All coins are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  15. 15.Statements: All bells are balls. No rings are balls. Conclusion: No bells are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  16. 16.Statements: All shoes are keys. All toys are shoes. Conclusion: All keys are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  17. 17.Statements: No books are cups. All cups are kites. Conclusion: Some books are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  18. 18.Statements: No shoes are cups. No cups are boxes. Conclusion: No shoes are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  19. 19.Statements: All bags are caps. Some coins are caps. Conclusion: All coins are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  20. 20.Statements: No keys are boxes. Some keys are balls. Conclusion: Some boxes are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  21. 21.Statements: All pens are boxes. All pens are bags. Conclusion: Some bags are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  22. 22.Statements: Some cups are bags. No balls are cups. Conclusion: Some balls are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  23. 23.Statements: Some books are boxes. No books are bells. Conclusion: No boxes are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  24. 24.Statements: No toys are bells. No toys are rings. Conclusion: No rings are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  25. 25.Statements: All bags are boxes. Some books are bags. Conclusion: Some boxes are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  26. 26.Statements: Some keys are shoes. Some books are keys. Conclusion: All books are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  27. 27.Statements: All bags are shoes. No bags are cups. Conclusion: All shoes are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  28. 28.Statements: Some shoes are balls. No balls are cups. Conclusion: All shoes are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  29. 29.Statements: No cups are books. All kites are cups. Conclusion: All books are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  30. 30.Statements: All bags are coins. Some bags are cups. Conclusion: All coins are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  31. 31.Statements: All shoes are bells. Some shoes are caps. Conclusion: All bells are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  32. 32.Statements: All rings are cups. All rings are bells. Conclusion: Some bells are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  33. 33.Statements: Some boxes are toys. No bags are toys. Conclusion: All bags are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  34. 34.Statements: Some pens are boxes. All boxes are kites. Conclusion: All pens are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  35. 35.Statements: Some shoes are rings. No keys are rings. Conclusion: All shoes are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  36. 36.Statements: Some bags are pens. All pens are bells. Conclusion: No bells are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  37. 37.Statements: Some books are coins. No books are kites. Conclusion: Some coins are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  38. 38.Statements: No kites are coins. Some bags are coins. Conclusion: All bags are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  39. 39.Statements: Some boxes are bags. No books are boxes. Conclusion: Some bags are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  40. 40.Statements: No cups are bells. Some shoes are cups. Conclusion: All bells are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No

Answer key

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

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