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Syllogism Worksheet

Logical reasoning lesson 21: Syllogisms · Set 338 · 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 kites are cups. All cups are balls. Conclusion: All kites are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  2. 2.Statements: Some toys are rings. All rings are kites. Conclusion: Some toys are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  3. 3.Statements: All coins are books. Some kites are books. Conclusion: No kites are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  4. 4.Statements: No rings are books. All books are balls. Conclusion: Some balls are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  5. 5.Statements: All keys are balls. No caps are keys. Conclusion: No balls are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  6. 6.Statements: Some keys are balls. Some shoes are balls. Conclusion: All keys are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  7. 7.Statements: Some cups are coins. All coins are bells. Conclusion: All cups are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  8. 8.Statements: All toys are coins. Some toys are pens. Conclusion: Some coins are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  9. 9.Statements: Some coins are caps. All caps are boxes. Conclusion: No coins are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  10. 10.Statements: No toys are keys. No coins are keys. Conclusion: No coins are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  11. 11.Statements: No coins are cups. Some coins are boxes. Conclusion: No boxes are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  12. 12.Statements: All cups are bells. All cups are balls. Conclusion: Some bells are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  13. 13.Statements: All pens are cups. All pens are balls. Conclusion: Some balls are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  14. 14.Statements: Some shoes are bells. Some bells are balls. Conclusion: Some balls are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  15. 15.Statements: All shoes are bags. Some shoes are bells. Conclusion: No bags are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  16. 16.Statements: No bells are rings. All rings are keys. Conclusion: All bells are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  17. 17.Statements: All bells are cups. Some cups are boxes. Conclusion: All boxes are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  18. 18.Statements: All caps are bells. Some caps are books. Conclusion: Some bells are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  19. 19.Statements: All bells are pens. Some rings are bells. Conclusion: All rings are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  20. 20.Statements: All shoes are books. No bells are books. Conclusion: No bells are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  21. 21.Statements: All coins are books. Some rings are books. Conclusion: Some coins are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  22. 22.Statements: Some rings are cups. All cups are bells. Conclusion: Some bells are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  23. 23.Statements: No toys are rings. All shoes are rings. Conclusion: No toys are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  24. 24.Statements: No cups are pens. All cups are kites. Conclusion: All pens are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  25. 25.Statements: No bells are coins. No bells are balls. Conclusion: No balls are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  26. 26.Statements: All pens are shoes. No books are shoes. Conclusion: No pens are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  27. 27.Statements: Some coins are pens. Some coins are keys. Conclusion: All pens are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  28. 28.Statements: All caps are cups. All cups are shoes. Conclusion: No caps are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  29. 29.Statements: All bells are rings. All pens are bells. Conclusion: No pens are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  30. 30.Statements: No shoes are bells. No shoes are books. Conclusion: Some bells are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  31. 31.Statements: Some keys are kites. No keys are balls. Conclusion: All kites are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  32. 32.Statements: All pens are keys. All cups are pens. Conclusion: All cups are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  33. 33.Statements: All cups are pens. All pens are keys. Conclusion: Some cups are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  34. 34.Statements: All shoes are bells. No shoes are caps. Conclusion: Some caps are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  35. 35.Statements: Some books are bags. All bags are toys. Conclusion: All toys are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  36. 36.Statements: Some caps are rings. No pens are rings. Conclusion: No pens are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  37. 37.Statements: Some shoes are kites. No books are kites. Conclusion: All books are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  38. 38.Statements: No bells are boxes. No toys are boxes. Conclusion: Some toys are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  39. 39.Statements: No toys are shoes. All toys are keys. Conclusion: All shoes are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  40. 40.Statements: All balls are books. All books are bells. Conclusion: Some balls are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No

Answer key

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

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