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Syllogism Worksheet

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

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