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Syllogism Worksheet

Logical reasoning lesson 21: Syllogisms · Set 213 · 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: Some pens are coins. No cups are pens. Conclusion: All coins are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  2. 2.Statements: All rings are toys. No toys are coins. Conclusion: No rings are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  3. 3.Statements: Some pens are keys. Some toys are keys. Conclusion: No pens are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  4. 4.Statements: All caps are books. Some bells are caps. Conclusion: Some books are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  5. 5.Statements: Some boxes are pens. No boxes are balls. Conclusion: Some pens are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  6. 6.Statements: All pens are bells. No bells are coins. Conclusion: No coins are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  7. 7.Statements: All cups are keys. Some coins are cups. Conclusion: All keys are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  8. 8.Statements: Some pens are boxes. All pens are shoes. Conclusion: Some boxes are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  9. 9.Statements: No rings are coins. All cups are rings. Conclusion: All coins are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  10. 10.Statements: Some bells are kites. No bells are bags. Conclusion: No kites are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  11. 11.Statements: All pens are bags. Some bags are keys. Conclusion: No keys are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  12. 12.Statements: All shoes are pens. All bags are shoes. Conclusion: All pens are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  13. 13.Statements: All rings are bags. No toys are bags. Conclusion: No rings are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  14. 14.Statements: All bags are balls. Some caps are bags. Conclusion: No caps are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  15. 15.Statements: Some books are kites. Some books are cups. Conclusion: Some kites are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  16. 16.Statements: All rings are cups. No caps are cups. Conclusion: No rings are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  17. 17.Statements: Some kites are balls. Some balls are toys. Conclusion: All kites are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  18. 18.Statements: All cups are toys. No pens are toys. Conclusion: No cups are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  19. 19.Statements: No cups are toys. All toys are books. Conclusion: All cups are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  20. 20.Statements: All caps are rings. No bags are caps. Conclusion: Some rings are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  21. 21.Statements: No kites are bells. Some balls are kites. Conclusion: No balls are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  22. 22.Statements: All rings are pens. Some pens are boxes. Conclusion: Some boxes are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  23. 23.Statements: Some books are keys. No books are bags. Conclusion: Some keys are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  24. 24.Statements: All kites are coins. Some kites are shoes. Conclusion: Some coins are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  25. 25.Statements: Some pens are shoes. All keys are pens. Conclusion: Some shoes are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  26. 26.Statements: Some toys are bells. No boxes are toys. Conclusion: Some bells are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  27. 27.Statements: All shoes are bags. All toys are shoes. Conclusion: All bags are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  28. 28.Statements: No bells are pens. Some pens are books. Conclusion: All bells are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  29. 29.Statements: Some bells are toys. All pens are toys. Conclusion: All bells are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  30. 30.Statements: All boxes are toys. All toys are balls. Conclusion: No boxes are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  31. 31.Statements: Some caps are balls. All caps are rings. Conclusion: Some balls are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  32. 32.Statements: Some books are keys. All toys are keys. Conclusion: Some toys are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  33. 33.Statements: No pens are cups. Some cups are kites. Conclusion: All pens are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  34. 34.Statements: Some books are keys. Some rings are keys. Conclusion: All rings are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  35. 35.Statements: No shoes are boxes. Some boxes are books. Conclusion: All shoes are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  36. 36.Statements: All caps are books. All caps are pens. Conclusion: No books are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  37. 37.Statements: All bells are rings. All rings are coins. Conclusion: All coins are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  38. 38.Statements: All balls are keys. Some balls are cups. Conclusion: No cups are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  39. 39.Statements: All cups are coins. No bells are coins. Conclusion: No cups are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  40. 40.Statements: Some balls are books. All bags are books. Conclusion: Some bags are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No

Answer key

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

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