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Syllogism Worksheet

Logical reasoning lesson 21: Syllogisms · Set 245 · 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 toys are bags. No toys are cups. Conclusion: All bags are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  2. 2.Statements: No bells are bags. All books are bells. Conclusion: Some books are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  3. 3.Statements: No coins are balls. No coins are rings. Conclusion: Some balls are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  4. 4.Statements: Some toys are cups. No toys are books. Conclusion: Some cups are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  5. 5.Statements: No cups are bags. All pens are bags. Conclusion: All cups are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  6. 6.Statements: No boxes are cups. Some cups are rings. Conclusion: No rings are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  7. 7.Statements: All keys are toys. All keys are cups. Conclusion: Some toys are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  8. 8.Statements: Some bags are kites. No pens are kites. Conclusion: All bags are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  9. 9.Statements: No balls are rings. Some rings are kites. Conclusion: All kites are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  10. 10.Statements: All toys are coins. Some pens are toys. Conclusion: All pens are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  11. 11.Statements: Some cups are balls. Some books are cups. Conclusion: All books are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  12. 12.Statements: No bags are shoes. All coins are shoes. Conclusion: No coins are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  13. 13.Statements: No books are shoes. All caps are books. Conclusion: Some caps are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  14. 14.Statements: All keys are balls. All keys are caps. Conclusion: Some balls are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  15. 15.Statements: All bells are kites. Some bells are cups. Conclusion: No kites are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  16. 16.Statements: Some keys are cups. Some toys are keys. Conclusion: Some cups are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  17. 17.Statements: No coins are toys. All toys are balls. Conclusion: No coins are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  18. 18.Statements: All coins are keys. Some keys are bells. Conclusion: No bells are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  19. 19.Statements: All rings are caps. Some caps are keys. Conclusion: Some rings are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  20. 20.Statements: Some pens are rings. All rings are shoes. Conclusion: All shoes are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  21. 21.Statements: All rings are shoes. All rings are coins. Conclusion: All shoes are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  22. 22.Statements: All pens are caps. All pens are bells. Conclusion: Some caps are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  23. 23.Statements: All cups are bags. All shoes are cups. Conclusion: All shoes are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  24. 24.Statements: Some books are bags. All cups are bags. Conclusion: All cups are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  25. 25.Statements: Some bags are coins. All coins are cups. Conclusion: Some bags are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  26. 26.Statements: Some pens are caps. No toys are caps. Conclusion: All toys are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  27. 27.Statements: All boxes are bells. Some books are boxes. Conclusion: Some books are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  28. 28.Statements: Some caps are coins. No coins are books. Conclusion: All caps are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  29. 29.Statements: No books are boxes. All books are coins. Conclusion: Some coins are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  30. 30.Statements: All keys are bags. All bells are keys. Conclusion: Some bags are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  31. 31.Statements: No rings are keys. All bells are rings. Conclusion: No bells are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  32. 32.Statements: Some pens are caps. All caps are boxes. Conclusion: Some boxes are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  33. 33.Statements: All kites are coins. No caps are coins. Conclusion: All caps are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  34. 34.Statements: All caps are coins. No kites are caps. Conclusion: No coins are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  35. 35.Statements: All shoes are bags. No bells are bags. Conclusion: All bells are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  36. 36.Statements: All pens are keys. Some pens are caps. Conclusion: Some keys are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  37. 37.Statements: All coins are rings. No kites are rings. Conclusion: No coins are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  38. 38.Statements: All kites are boxes. No boxes are rings. Conclusion: All rings are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  39. 39.Statements: No bells are coins. Some bags are bells. Conclusion: Some bags are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  40. 40.Statements: All bags are pens. All bags are keys. Conclusion: Some keys are pens. 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. Yes
  8. No
  9. No
  10. No
  11. No
  12. Yes
  13. No
  14. Yes
  15. No
  16. No
  17. No
  18. No
  19. No
  20. No
  21. No
  22. Yes
  23. Yes
  24. No
  25. Yes
  26. No
  27. Yes
  28. No
  29. No
  30. Yes
  31. Yes
  32. Yes
  33. No
  34. No
  35. No
  36. Yes
  37. Yes
  38. No
  39. No
  40. Yes

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