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Syllogism Worksheet

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

Answer key

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

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