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Syllogism Worksheet

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

Answer key

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

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