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Syllogism Worksheet

Logical reasoning lesson 21: Syllogisms · Set 95 · 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: All pens are balls. No pens are bags. Conclusion: All bags are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  2. 2.Statements: Some shoes are bags. No bags are boxes. Conclusion: All shoes are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  3. 3.Statements: Some books are bags. All boxes are bags. Conclusion: All boxes are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  4. 4.Statements: All cups are books. Some cups are bells. Conclusion: No books are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  5. 5.Statements: Some keys are rings. All keys are boxes. Conclusion: Some boxes are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  6. 6.Statements: Some books are pens. No kites are pens. Conclusion: All kites are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  7. 7.Statements: All boxes are rings. All toys are rings. Conclusion: Some toys are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  8. 8.Statements: No books are cups. Some boxes are books. Conclusion: No boxes are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  9. 9.Statements: Some bags are balls. Some bags are toys. Conclusion: All toys are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  10. 10.Statements: No shoes are boxes. All shoes are bags. Conclusion: Some bags are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  11. 11.Statements: All toys are cups. Some toys are shoes. Conclusion: No shoes are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  12. 12.Statements: All toys are kites. Some shoes are kites. Conclusion: All shoes are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  13. 13.Statements: All caps are bells. Some kites are caps. Conclusion: Some kites are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  14. 14.Statements: Some kites are caps. All kites are rings. Conclusion: Some caps are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  15. 15.Statements: Some kites are cups. All cups are keys. Conclusion: No keys are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  16. 16.Statements: All bags are rings. Some bags are balls. Conclusion: Some rings are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  17. 17.Statements: No pens are keys. All boxes are pens. Conclusion: Some keys are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  18. 18.Statements: No pens are bags. Some pens are balls. Conclusion: No balls are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  19. 19.Statements: Some books are shoes. All boxes are shoes. Conclusion: No boxes are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  20. 20.Statements: Some cups are books. Some toys are books. Conclusion: Some toys are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  21. 21.Statements: Some caps are boxes. Some books are boxes. Conclusion: Some books are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  22. 22.Statements: No rings are toys. No rings are balls. Conclusion: Some balls are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  23. 23.Statements: Some boxes are books. No rings are books. Conclusion: Some rings are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  24. 24.Statements: Some kites are boxes. All pens are boxes. Conclusion: Some pens are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  25. 25.Statements: Some toys are books. All boxes are toys. Conclusion: Some books are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  26. 26.Statements: Some cups are keys. No pens are keys. Conclusion: All cups are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  27. 27.Statements: Some books are toys. No balls are books. Conclusion: All balls are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  28. 28.Statements: All bells are bags. No bags are boxes. Conclusion: No bells are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  29. 29.Statements: No books are coins. All boxes are coins. Conclusion: No books are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  30. 30.Statements: All bells are shoes. All shoes are caps. Conclusion: Some caps are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  31. 31.Statements: All kites are keys. All kites are rings. Conclusion: No rings are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  32. 32.Statements: All coins are shoes. Some pens are shoes. Conclusion: All pens are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  33. 33.Statements: No boxes are keys. All coins are boxes. Conclusion: All keys are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  34. 34.Statements: All cups are caps. All caps are pens. Conclusion: Some cups are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  35. 35.Statements: Some bells are rings. All rings are toys. Conclusion: Some bells are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  36. 36.Statements: All caps are pens. No shoes are pens. Conclusion: No shoes are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  37. 37.Statements: All bells are boxes. Some bells are bags. Conclusion: No boxes are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  38. 38.Statements: No caps are shoes. Some caps are boxes. Conclusion: No shoes are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  39. 39.Statements: Some balls are bells. No balls are boxes. Conclusion: All boxes are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  40. 40.Statements: All books are shoes. Some shoes are boxes. Conclusion: Some books are boxes. 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. No
  8. No
  9. No
  10. No
  11. No
  12. No
  13. Yes
  14. Yes
  15. No
  16. Yes
  17. No
  18. No
  19. No
  20. No
  21. No
  22. No
  23. No
  24. No
  25. No
  26. No
  27. No
  28. Yes
  29. Yes
  30. Yes
  31. No
  32. No
  33. No
  34. Yes
  35. Yes
  36. Yes
  37. No
  38. No
  39. No
  40. No

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