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Syllogism Worksheet

Logical reasoning lesson 21: Syllogisms · Set 361 · 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 balls are toys. Some pens are balls. Conclusion: All pens are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  2. 2.Statements: No kites are bags. Some bags are books. Conclusion: Some kites are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  3. 3.Statements: Some shoes are balls. No cups are shoes. Conclusion: All cups are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  4. 4.Statements: Some coins are toys. All toys are bags. Conclusion: No bags are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  5. 5.Statements: All shoes are keys. No keys are rings. Conclusion: No shoes are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  6. 6.Statements: No caps are cups. No cups are pens. Conclusion: No caps are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  7. 7.Statements: All rings are bells. All rings are coins. Conclusion: Some coins are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  8. 8.Statements: All cups are bags. All cups are caps. Conclusion: All bags are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  9. 9.Statements: All kites are cups. No caps are cups. Conclusion: Some kites are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  10. 10.Statements: No boxes are books. No books are bells. Conclusion: Some boxes are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  11. 11.Statements: Some toys are boxes. Some boxes are rings. Conclusion: Some rings are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  12. 12.Statements: No boxes are toys. No toys are books. Conclusion: All boxes are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  13. 13.Statements: Some caps are pens. All caps are kites. Conclusion: Some pens are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  14. 14.Statements: Some caps are books. No caps are balls. Conclusion: Some books are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  15. 15.Statements: Some bags are rings. No books are rings. Conclusion: All bags are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  16. 16.Statements: No bells are toys. Some keys are toys. Conclusion: No bells are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  17. 17.Statements: Some books are kites. All kites are balls. Conclusion: Some books are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  18. 18.Statements: No books are bags. No bags are pens. Conclusion: No pens are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  19. 19.Statements: No rings are kites. All keys are kites. Conclusion: All keys are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  20. 20.Statements: All books are toys. Some cups are books. Conclusion: Some toys are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  21. 21.Statements: All keys are kites. No rings are kites. Conclusion: Some rings are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  22. 22.Statements: Some coins are pens. No coins are bags. Conclusion: Some bags are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  23. 23.Statements: No toys are caps. Some toys are bells. Conclusion: No bells are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  24. 24.Statements: No boxes are bags. Some bags are coins. Conclusion: All coins are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  25. 25.Statements: No bells are kites. No coins are kites. Conclusion: All bells are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  26. 26.Statements: All shoes are bags. All books are bags. Conclusion: No books are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  27. 27.Statements: All cups are books. No caps are cups. Conclusion: All caps are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  28. 28.Statements: No boxes are kites. Some kites are toys. Conclusion: All toys are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  29. 29.Statements: Some kites are toys. No boxes are toys. Conclusion: All kites are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  30. 30.Statements: Some coins are pens. Some bells are coins. Conclusion: All pens are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  31. 31.Statements: Some shoes are balls. All bags are balls. Conclusion: No bags are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  32. 32.Statements: Some caps are balls. All caps are bells. Conclusion: All bells are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  33. 33.Statements: Some caps are coins. Some coins are pens. Conclusion: All pens are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  34. 34.Statements: No kites are bags. No kites are rings. Conclusion: No bags are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  35. 35.Statements: No caps are pens. Some pens are books. Conclusion: Some caps are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  36. 36.Statements: No boxes are keys. All shoes are keys. Conclusion: No boxes are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  37. 37.Statements: Some balls are cups. All balls are rings. Conclusion: All cups are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  38. 38.Statements: All toys are pens. All keys are toys. Conclusion: No pens are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  39. 39.Statements: Some caps are balls. No books are caps. Conclusion: All books are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  40. 40.Statements: No caps are keys. All bells are caps. Conclusion: Some bells are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No

Answer key

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

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