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Syllogism Worksheet

Logical reasoning lesson 21: Syllogisms · Set 286 · 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 balls are cups. All shoes are balls. Conclusion: All cups are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  2. 2.Statements: All bags are balls. All cups are bags. Conclusion: No cups are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  3. 3.Statements: No books are boxes. All shoes are boxes. Conclusion: No books are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  4. 4.Statements: Some coins are pens. All pens are cups. Conclusion: No coins are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  5. 5.Statements: Some bells are shoes. All bells are coins. Conclusion: Some coins are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  6. 6.Statements: Some bags are shoes. All bags are balls. Conclusion: No shoes are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  7. 7.Statements: Some cups are bells. All caps are cups. Conclusion: All caps are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  8. 8.Statements: Some bells are toys. All toys are rings. Conclusion: All rings are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  9. 9.Statements: No coins are rings. All bags are rings. Conclusion: Some coins are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  10. 10.Statements: All balls are boxes. Some balls are books. Conclusion: No boxes are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  11. 11.Statements: Some cups are keys. All keys are caps. Conclusion: All cups are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  12. 12.Statements: Some kites are bags. All cups are bags. Conclusion: Some cups are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  13. 13.Statements: Some boxes are bells. All pens are boxes. Conclusion: Some bells are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  14. 14.Statements: No bags are keys. No books are keys. Conclusion: Some bags are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  15. 15.Statements: No pens are keys. No keys are cups. Conclusion: All cups are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  16. 16.Statements: Some bags are keys. No toys are keys. Conclusion: No toys are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  17. 17.Statements: Some cups are kites. Some toys are kites. Conclusion: All cups are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  18. 18.Statements: All balls are boxes. No shoes are boxes. Conclusion: No shoes are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  19. 19.Statements: All pens are kites. Some kites are boxes. Conclusion: Some pens are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  20. 20.Statements: All boxes are toys. No shoes are toys. Conclusion: Some shoes are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  21. 21.Statements: All rings are toys. Some bags are rings. Conclusion: Some bags are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  22. 22.Statements: No boxes are pens. All cups are pens. Conclusion: All boxes are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  23. 23.Statements: Some coins are keys. Some coins are toys. Conclusion: All toys are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  24. 24.Statements: Some balls are cups. Some cups are coins. Conclusion: Some coins are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  25. 25.Statements: No keys are cups. Some cups are rings. Conclusion: No keys are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  26. 26.Statements: All shoes are rings. No rings are cups. Conclusion: Some shoes are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  27. 27.Statements: No bags are cups. All kites are bags. Conclusion: Some kites are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  28. 28.Statements: All balls are caps. Some caps are pens. Conclusion: Some balls are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  29. 29.Statements: All keys are toys. No cups are toys. Conclusion: Some keys are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  30. 30.Statements: All pens are shoes. Some shoes are boxes. Conclusion: All pens are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  31. 31.Statements: No books are coins. All bells are coins. Conclusion: All books are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  32. 32.Statements: No books are balls. Some toys are balls. Conclusion: No books are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  33. 33.Statements: Some bags are shoes. All books are shoes. Conclusion: No books are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  34. 34.Statements: All keys are coins. Some bags are keys. Conclusion: Some coins are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  35. 35.Statements: Some pens are shoes. All bags are shoes. Conclusion: All pens are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  36. 36.Statements: Some cups are bags. All bags are kites. Conclusion: All kites are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  37. 37.Statements: All bells are balls. All boxes are bells. Conclusion: No boxes are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  38. 38.Statements: No boxes are pens. All balls are boxes. Conclusion: All balls are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  39. 39.Statements: All rings are shoes. All caps are rings. Conclusion: Some caps are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  40. 40.Statements: Some kites are cups. All kites are pens. Conclusion: Some cups are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No

Answer key

  1. No
  2. No
  3. Yes
  4. No
  5. Yes
  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. Yes
  19. No
  20. No
  21. Yes
  22. No
  23. No
  24. No
  25. No
  26. No
  27. No
  28. No
  29. No
  30. No
  31. No
  32. No
  33. No
  34. Yes
  35. No
  36. No
  37. No
  38. No
  39. Yes
  40. Yes

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