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Syllogism Worksheet

Logical reasoning lesson 21: Syllogisms · Set 302 · 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 shoes. All coins are shoes. Conclusion: Some coins are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  2. 2.Statements: All pens are rings. All pens are bells. Conclusion: Some bells are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  3. 3.Statements: No pens are balls. All kites are pens. Conclusion: No balls are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  4. 4.Statements: Some kites are toys. All toys are books. Conclusion: All kites are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  5. 5.Statements: Some rings are books. Some pens are books. Conclusion: All rings are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  6. 6.Statements: No pens are cups. All shoes are pens. Conclusion: Some cups are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  7. 7.Statements: Some toys are bags. No toys are balls. Conclusion: No bags are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  8. 8.Statements: All pens are balls. No balls are cups. Conclusion: All pens are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  9. 9.Statements: All pens are balls. All pens are books. Conclusion: Some balls are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  10. 10.Statements: All bells are pens. All pens are keys. Conclusion: Some keys are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  11. 11.Statements: All bells are bags. Some bells are balls. Conclusion: Some balls are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  12. 12.Statements: All rings are books. All rings are bags. Conclusion: No bags are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  13. 13.Statements: No toys are coins. All rings are toys. Conclusion: All rings are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  14. 14.Statements: No shoes are balls. All bells are shoes. Conclusion: No balls are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  15. 15.Statements: All bells are boxes. No books are boxes. Conclusion: All books are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  16. 16.Statements: All coins are books. All coins are kites. Conclusion: No books are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  17. 17.Statements: Some bags are books. Some books are shoes. Conclusion: Some bags are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  18. 18.Statements: Some kites are coins. No toys are kites. Conclusion: All toys are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  19. 19.Statements: All caps are toys. Some caps are kites. Conclusion: Some toys are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  20. 20.Statements: All balls are bags. All balls are books. Conclusion: No books are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  21. 21.Statements: No coins are books. All keys are books. Conclusion: No coins are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  22. 22.Statements: No bags are keys. All books are bags. Conclusion: Some books are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  23. 23.Statements: All balls are cups. All boxes are balls. Conclusion: No cups are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  24. 24.Statements: All rings are caps. No rings are coins. Conclusion: No caps are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  25. 25.Statements: All caps are rings. Some bells are caps. Conclusion: All rings are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  26. 26.Statements: All coins are rings. Some toys are coins. Conclusion: Some toys are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  27. 27.Statements: All cups are bags. All cups are rings. Conclusion: Some rings are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  28. 28.Statements: Some bells are shoes. All shoes are toys. Conclusion: Some toys are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  29. 29.Statements: All balls are toys. All shoes are toys. Conclusion: No shoes are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  30. 30.Statements: No rings are books. Some books are bags. Conclusion: Some rings are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  31. 31.Statements: Some toys are boxes. No toys are shoes. Conclusion: Some boxes are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  32. 32.Statements: Some shoes are caps. All shoes are cups. Conclusion: No caps are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  33. 33.Statements: All toys are bells. All bells are rings. Conclusion: No rings are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  34. 34.Statements: No boxes are caps. All books are caps. Conclusion: No books are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  35. 35.Statements: No shoes are coins. No bells are coins. Conclusion: Some bells are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  36. 36.Statements: All kites are balls. Some books are kites. Conclusion: Some balls are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  37. 37.Statements: All caps are bags. No bags are shoes. Conclusion: Some caps are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  38. 38.Statements: All bells are cups. No cups are toys. Conclusion: All bells are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  39. 39.Statements: All cups are bells. No bells are boxes. Conclusion: No boxes are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  40. 40.Statements: No shoes are bells. All bags are bells. Conclusion: No shoes are bags. 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. Yes
  11. Yes
  12. No
  13. No
  14. Yes
  15. No
  16. No
  17. No
  18. No
  19. Yes
  20. No
  21. Yes
  22. No
  23. No
  24. No
  25. No
  26. Yes
  27. Yes
  28. Yes
  29. No
  30. No
  31. No
  32. No
  33. No
  34. Yes
  35. No
  36. Yes
  37. No
  38. No
  39. Yes
  40. Yes

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