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Syllogism Worksheet

Logical reasoning lesson 21: Syllogisms · Set 333 · 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 shoes are keys. No cups are keys. Conclusion: Some shoes are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  2. 2.Statements: All bells are books. All keys are bells. Conclusion: No books are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  3. 3.Statements: All keys are kites. No bells are kites. Conclusion: Some bells are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  4. 4.Statements: Some pens are caps. All pens are shoes. Conclusion: No shoes are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  5. 5.Statements: Some pens are rings. Some pens are coins. Conclusion: No coins are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  6. 6.Statements: No pens are boxes. All pens are bags. Conclusion: Some bags are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  7. 7.Statements: No pens are bags. Some cups are pens. Conclusion: All cups are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  8. 8.Statements: Some books are rings. Some rings are caps. Conclusion: Some caps are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  9. 9.Statements: All shoes are pens. No books are shoes. Conclusion: No books are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  10. 10.Statements: Some toys are rings. All balls are rings. Conclusion: No toys are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  11. 11.Statements: No cups are bags. No cups are kites. Conclusion: All bags are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  12. 12.Statements: No kites are pens. All coins are kites. Conclusion: Some pens are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  13. 13.Statements: All keys are toys. No toys are bags. Conclusion: All bags are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  14. 14.Statements: No rings are bags. All boxes are rings. Conclusion: No bags are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  15. 15.Statements: No boxes are rings. No boxes are balls. Conclusion: All rings are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  16. 16.Statements: Some coins are balls. All coins are toys. Conclusion: Some balls are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  17. 17.Statements: No coins are keys. All books are coins. Conclusion: Some books are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  18. 18.Statements: All kites are keys. All keys are coins. Conclusion: No coins are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  19. 19.Statements: All shoes are bags. No books are bags. Conclusion: No shoes are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  20. 20.Statements: No books are cups. Some toys are books. Conclusion: No toys are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  21. 21.Statements: Some rings are kites. All books are rings. Conclusion: Some books are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  22. 22.Statements: All pens are boxes. Some kites are boxes. Conclusion: All pens are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  23. 23.Statements: All keys are bags. Some bags are shoes. Conclusion: All shoes are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  24. 24.Statements: All pens are keys. All bags are pens. Conclusion: All keys are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  25. 25.Statements: Some books are kites. Some bells are kites. Conclusion: Some books are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  26. 26.Statements: No bags are kites. No kites are pens. Conclusion: Some pens are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  27. 27.Statements: No boxes are cups. No rings are boxes. Conclusion: All rings are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  28. 28.Statements: All cups are books. All books are kites. Conclusion: Some cups are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  29. 29.Statements: All bags are coins. Some bags are kites. Conclusion: Some coins are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  30. 30.Statements: No balls are kites. All cups are kites. Conclusion: All cups are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  31. 31.Statements: All boxes are kites. No boxes are books. Conclusion: No books are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  32. 32.Statements: No pens are coins. Some pens are caps. Conclusion: Some caps are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  33. 33.Statements: No toys are kites. All toys are balls. Conclusion: Some kites are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  34. 34.Statements: All pens are bells. Some boxes are pens. Conclusion: Some boxes are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  35. 35.Statements: Some keys are balls. Some boxes are balls. Conclusion: Some keys are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  36. 36.Statements: All cups are bells. Some cups are toys. Conclusion: Some bells are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  37. 37.Statements: All books are bags. No bags are keys. Conclusion: All keys are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  38. 38.Statements: All keys are bags. All caps are keys. Conclusion: Some bags are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  39. 39.Statements: All shoes are books. Some bells are shoes. Conclusion: All books are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  40. 40.Statements: No coins are books. No coins are caps. Conclusion: All caps are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No

Answer key

  1. No
  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. Yes
  15. No
  16. Yes
  17. No
  18. No
  19. Yes
  20. No
  21. No
  22. No
  23. No
  24. No
  25. No
  26. No
  27. No
  28. Yes
  29. Yes
  30. No
  31. No
  32. No
  33. No
  34. Yes
  35. No
  36. Yes
  37. No
  38. Yes
  39. No
  40. No

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