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Syllogism Worksheet

Logical reasoning lesson 21: Syllogisms · Set 164 · 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 bells are kites. No bags are kites. Conclusion: No bags are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  2. 2.Statements: Some toys are rings. Some rings are kites. Conclusion: No toys are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  3. 3.Statements: All balls are boxes. All boxes are keys. Conclusion: Some keys are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  4. 4.Statements: All bags are caps. All bags are balls. Conclusion: All balls are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  5. 5.Statements: All shoes are rings. All rings are bags. Conclusion: No shoes are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  6. 6.Statements: All pens are cups. No pens are balls. Conclusion: Some cups are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  7. 7.Statements: All kites are cups. All cups are boxes. Conclusion: Some boxes are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  8. 8.Statements: No toys are boxes. All pens are boxes. Conclusion: All pens are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  9. 9.Statements: Some bells are boxes. All keys are bells. Conclusion: No boxes are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  10. 10.Statements: All bells are pens. All balls are pens. Conclusion: No balls are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  11. 11.Statements: All kites are pens. All cups are pens. Conclusion: No kites are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  12. 12.Statements: All balls are keys. Some balls are caps. Conclusion: Some keys are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  13. 13.Statements: All shoes are bags. No bags are pens. Conclusion: All pens are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  14. 14.Statements: All books are pens. No pens are cups. Conclusion: Some books are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  15. 15.Statements: All coins are keys. No pens are coins. Conclusion: Some pens are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  16. 16.Statements: No bags are toys. Some bags are coins. Conclusion: No toys are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  17. 17.Statements: No caps are bags. Some caps are kites. Conclusion: All bags are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  18. 18.Statements: No shoes are coins. Some shoes are toys. Conclusion: No coins are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  19. 19.Statements: No toys are keys. Some caps are toys. Conclusion: Some caps are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  20. 20.Statements: Some kites are toys. All books are toys. Conclusion: Some kites are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  21. 21.Statements: No cups are balls. All cups are pens. Conclusion: All pens are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  22. 22.Statements: All shoes are books. No cups are shoes. Conclusion: All books are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  23. 23.Statements: All caps are cups. All caps are keys. Conclusion: Some cups are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  24. 24.Statements: No bags are balls. Some pens are bags. Conclusion: No pens are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  25. 25.Statements: No pens are cups. All boxes are cups. Conclusion: Some boxes are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  26. 26.Statements: No caps are kites. All coins are caps. Conclusion: No kites are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  27. 27.Statements: All books are kites. Some books are boxes. Conclusion: All kites are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  28. 28.Statements: All cups are coins. Some cups are toys. Conclusion: Some toys are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  29. 29.Statements: All bags are coins. No coins are toys. Conclusion: Some bags are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  30. 30.Statements: Some balls are shoes. Some bags are shoes. Conclusion: No bags are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  31. 31.Statements: All books are coins. All keys are books. Conclusion: All keys are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  32. 32.Statements: No books are bells. No kites are bells. Conclusion: No books are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  33. 33.Statements: No boxes are books. No bells are boxes. Conclusion: Some bells are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  34. 34.Statements: Some toys are keys. Some pens are keys. Conclusion: All pens are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  35. 35.Statements: All boxes are cups. Some cups are kites. Conclusion: No boxes are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  36. 36.Statements: No bags are bells. Some caps are bags. Conclusion: All caps are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  37. 37.Statements: All rings are coins. All bags are coins. Conclusion: Some bags are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  38. 38.Statements: All coins are bags. Some bags are books. Conclusion: Some books are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  39. 39.Statements: All boxes are books. No rings are books. Conclusion: No rings are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  40. 40.Statements: Some rings are coins. Some coins are boxes. Conclusion: Some boxes are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No

Answer key

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

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