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Syllogism Worksheet

Logical reasoning lesson 21: Syllogisms · Set 149 · 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 books. Some bags are books. Conclusion: Some bags are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  2. 2.Statements: All balls are cups. All cups are toys. Conclusion: Some toys are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  3. 3.Statements: Some boxes are balls. Some balls are pens. Conclusion: All pens are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  4. 4.Statements: All boxes are kites. All kites are coins. Conclusion: Some coins are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  5. 5.Statements: All bells are rings. All caps are bells. Conclusion: All caps are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  6. 6.Statements: All bags are cups. All balls are bags. Conclusion: All balls are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  7. 7.Statements: Some kites are toys. No toys are shoes. Conclusion: No shoes are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  8. 8.Statements: All bags are coins. Some books are bags. Conclusion: Some coins are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  9. 9.Statements: Some toys are boxes. Some boxes are rings. Conclusion: All toys are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  10. 10.Statements: All coins are books. No caps are books. Conclusion: Some coins are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  11. 11.Statements: All kites are cups. No cups are coins. Conclusion: All kites are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  12. 12.Statements: All books are caps. All toys are caps. Conclusion: All books are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  13. 13.Statements: No shoes are rings. No balls are rings. Conclusion: All shoes are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  14. 14.Statements: All balls are caps. All balls are keys. Conclusion: Some keys are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  15. 15.Statements: All bags are keys. All pens are bags. Conclusion: All keys are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  16. 16.Statements: Some rings are pens. No rings are books. Conclusion: Some pens are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  17. 17.Statements: No balls are books. Some books are kites. Conclusion: Some balls are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  18. 18.Statements: Some boxes are rings. Some cups are rings. Conclusion: All cups are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  19. 19.Statements: No pens are boxes. No shoes are pens. Conclusion: No boxes are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  20. 20.Statements: All pens are bells. Some shoes are pens. Conclusion: Some bells are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  21. 21.Statements: No pens are books. Some kites are books. Conclusion: No pens are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  22. 22.Statements: No shoes are balls. Some books are balls. Conclusion: Some shoes are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  23. 23.Statements: Some cups are rings. All cups are keys. Conclusion: No keys are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  24. 24.Statements: All books are kites. All books are pens. Conclusion: Some kites are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  25. 25.Statements: Some books are pens. All boxes are pens. Conclusion: No books are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  26. 26.Statements: Some bags are boxes. No bags are shoes. Conclusion: No boxes are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  27. 27.Statements: No cups are books. No pens are cups. Conclusion: Some pens are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  28. 28.Statements: All pens are toys. No toys are books. Conclusion: All pens are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  29. 29.Statements: Some shoes are boxes. Some toys are shoes. Conclusion: No toys are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  30. 30.Statements: No coins are books. All bags are books. Conclusion: No coins are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  31. 31.Statements: No balls are rings. All rings are boxes. Conclusion: All balls are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  32. 32.Statements: Some pens are kites. All kites are shoes. Conclusion: Some shoes are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  33. 33.Statements: No caps are pens. All rings are pens. Conclusion: No rings are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  34. 34.Statements: All kites are caps. No caps are books. Conclusion: Some books are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  35. 35.Statements: All keys are boxes. All books are boxes. Conclusion: All books are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  36. 36.Statements: All caps are books. No rings are books. Conclusion: All rings are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  37. 37.Statements: All shoes are caps. No balls are shoes. Conclusion: All caps are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  38. 38.Statements: No rings are caps. All caps are boxes. Conclusion: No boxes are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  39. 39.Statements: No books are bags. All pens are books. Conclusion: No bags are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  40. 40.Statements: No bags are shoes. No rings are bags. Conclusion: All shoes are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No

Answer key

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

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