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Syllogism Worksheet

Logical reasoning lesson 21: Syllogisms · Set 314 · 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 keys. Some books are pens. Conclusion: No keys are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  2. 2.Statements: Some bags are shoes. All shoes are cups. Conclusion: Some cups are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  3. 3.Statements: All balls are boxes. All boxes are keys. Conclusion: Some balls are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  4. 4.Statements: All boxes are kites. Some caps are boxes. Conclusion: All caps are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  5. 5.Statements: No boxes are coins. All cups are boxes. Conclusion: No cups are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  6. 6.Statements: Some bags are bells. Some bags are keys. Conclusion: Some bells are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  7. 7.Statements: All boxes are books. Some kites are boxes. Conclusion: Some kites are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  8. 8.Statements: All cups are pens. No cups are kites. Conclusion: Some kites are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  9. 9.Statements: All bells are coins. Some bells are caps. Conclusion: Some coins are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  10. 10.Statements: No balls are caps. Some balls are toys. Conclusion: All toys are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  11. 11.Statements: All rings are books. Some rings are bags. Conclusion: All bags are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  12. 12.Statements: Some balls are toys. Some toys are books. Conclusion: No books are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  13. 13.Statements: No toys are rings. Some toys are cups. Conclusion: All rings are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  14. 14.Statements: Some bags are rings. No caps are rings. Conclusion: All caps are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  15. 15.Statements: All rings are balls. All shoes are rings. Conclusion: No balls are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  16. 16.Statements: No shoes are toys. Some toys are keys. Conclusion: No keys are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  17. 17.Statements: All boxes are keys. No boxes are caps. Conclusion: All keys are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  18. 18.Statements: No shoes are bags. Some books are bags. Conclusion: All shoes are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  19. 19.Statements: No caps are balls. All coins are caps. Conclusion: No coins are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  20. 20.Statements: No pens are rings. All balls are rings. Conclusion: No balls are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  21. 21.Statements: No bags are boxes. No boxes are bells. Conclusion: All bells are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  22. 22.Statements: Some boxes are balls. Some kites are balls. Conclusion: All boxes are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  23. 23.Statements: Some cups are balls. All cups are shoes. Conclusion: Some shoes are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  24. 24.Statements: All keys are coins. No cups are coins. Conclusion: No cups are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  25. 25.Statements: Some toys are balls. Some balls are shoes. Conclusion: Some shoes are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  26. 26.Statements: No bags are pens. All balls are bags. Conclusion: No pens are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  27. 27.Statements: No books are caps. All boxes are caps. Conclusion: No books are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  28. 28.Statements: Some shoes are balls. All shoes are toys. Conclusion: All toys are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  29. 29.Statements: No balls are pens. No bags are pens. Conclusion: All bags are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  30. 30.Statements: All coins are balls. Some coins are shoes. Conclusion: Some shoes are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  31. 31.Statements: All coins are pens. All coins are kites. Conclusion: No kites are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  32. 32.Statements: Some shoes are cups. All keys are cups. Conclusion: No keys are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  33. 33.Statements: All bags are caps. No toys are bags. Conclusion: No caps are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  34. 34.Statements: Some shoes are balls. No balls are pens. Conclusion: All shoes are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  35. 35.Statements: No bells are boxes. No shoes are bells. Conclusion: No shoes are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  36. 36.Statements: All cups are pens. All cups are kites. Conclusion: No kites are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  37. 37.Statements: No bells are coins. All rings are coins. Conclusion: No rings are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  38. 38.Statements: All books are toys. All shoes are toys. Conclusion: Some books are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  39. 39.Statements: All pens are caps. No caps are coins. Conclusion: No pens are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  40. 40.Statements: All rings are books. No bags are books. Conclusion: All bags are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No

Answer key

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

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