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Syllogism Worksheet

Logical reasoning lesson 21: Syllogisms · Set 131 · 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 keys are kites. No keys are balls. Conclusion: All balls are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  2. 2.Statements: All keys are coins. All shoes are coins. Conclusion: All keys are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  3. 3.Statements: All boxes are bags. Some bags are cups. Conclusion: Some cups are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  4. 4.Statements: All books are kites. No kites are bags. Conclusion: No books are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  5. 5.Statements: All pens are keys. No keys are rings. Conclusion: No rings are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  6. 6.Statements: All shoes are kites. All coins are kites. Conclusion: All coins are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  7. 7.Statements: Some balls are bells. No bells are keys. Conclusion: All keys are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  8. 8.Statements: Some books are boxes. All boxes are shoes. Conclusion: All books are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  9. 9.Statements: Some cups are coins. Some cups are bells. Conclusion: All bells are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  10. 10.Statements: No shoes are balls. No cups are shoes. Conclusion: All balls are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  11. 11.Statements: Some shoes are books. No books are coins. Conclusion: All coins are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  12. 12.Statements: Some boxes are books. All books are keys. Conclusion: All keys are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  13. 13.Statements: All bags are bells. Some pens are bags. Conclusion: No pens are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  14. 14.Statements: All shoes are coins. All coins are kites. Conclusion: All kites are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  15. 15.Statements: Some kites are caps. All caps are boxes. Conclusion: Some boxes are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  16. 16.Statements: All keys are balls. All balls are rings. Conclusion: All rings are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  17. 17.Statements: All pens are boxes. All boxes are caps. Conclusion: No pens are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  18. 18.Statements: Some rings are pens. All pens are cups. Conclusion: No cups are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  19. 19.Statements: Some books are pens. No pens are shoes. Conclusion: All shoes are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  20. 20.Statements: All keys are rings. All rings are bags. Conclusion: No keys are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  21. 21.Statements: No cups are shoes. No books are shoes. Conclusion: No books are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  22. 22.Statements: No shoes are bells. Some bells are keys. Conclusion: No shoes are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  23. 23.Statements: Some balls are boxes. Some boxes are bells. Conclusion: All balls are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  24. 24.Statements: All keys are pens. Some bells are keys. Conclusion: Some bells are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  25. 25.Statements: All bags are boxes. Some bags are books. Conclusion: Some books are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  26. 26.Statements: Some pens are balls. All balls are keys. Conclusion: No pens are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  27. 27.Statements: No balls are rings. No bags are rings. Conclusion: All balls are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  28. 28.Statements: Some caps are pens. All pens are coins. Conclusion: Some coins are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  29. 29.Statements: Some toys are boxes. All boxes are caps. Conclusion: All caps are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  30. 30.Statements: No boxes are bells. No rings are boxes. Conclusion: No rings are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  31. 31.Statements: All keys are cups. Some keys are balls. Conclusion: No balls are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  32. 32.Statements: All keys are cups. All cups are boxes. Conclusion: All keys are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  33. 33.Statements: Some shoes are bells. No shoes are balls. Conclusion: No balls are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  34. 34.Statements: Some cups are pens. No caps are pens. Conclusion: No caps are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  35. 35.Statements: Some shoes are balls. No shoes are books. Conclusion: Some balls are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  36. 36.Statements: No caps are coins. All coins are cups. Conclusion: Some cups are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  37. 37.Statements: No bags are boxes. Some rings are boxes. Conclusion: Some bags are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  38. 38.Statements: No bells are bags. Some bags are books. Conclusion: No bells are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  39. 39.Statements: All coins are toys. All coins are pens. Conclusion: Some toys are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  40. 40.Statements: Some bags are balls. No bags are books. Conclusion: No books are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No

Answer key

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

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