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Syllogism Worksheet

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

Answer key

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

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