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Syllogism Worksheet

Logical reasoning lesson 21: Syllogisms · Set 99 · 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 bags. All kites are bags. Conclusion: No coins are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  2. 2.Statements: Some books are toys. No toys are bells. Conclusion: All bells are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  3. 3.Statements: Some pens are keys. All keys are cups. Conclusion: All cups are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  4. 4.Statements: No coins are toys. All caps are toys. Conclusion: Some coins are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  5. 5.Statements: All keys are bags. Some books are bags. Conclusion: No books are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  6. 6.Statements: All caps are keys. Some keys are shoes. Conclusion: No shoes are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  7. 7.Statements: No books are coins. Some books are balls. Conclusion: All balls are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  8. 8.Statements: All rings are caps. All rings are keys. Conclusion: Some keys are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  9. 9.Statements: All bags are kites. No bags are balls. Conclusion: All kites are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  10. 10.Statements: No boxes are bags. All shoes are bags. Conclusion: All boxes are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  11. 11.Statements: All cups are toys. All toys are bags. Conclusion: Some bags are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  12. 12.Statements: All coins are cups. All coins are toys. Conclusion: No toys are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  13. 13.Statements: Some kites are bags. No cups are bags. Conclusion: Some kites are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  14. 14.Statements: No bags are boxes. All bags are books. Conclusion: Some books are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  15. 15.Statements: No caps are books. All bags are caps. Conclusion: Some books are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  16. 16.Statements: Some coins are bags. Some toys are bags. Conclusion: All coins are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  17. 17.Statements: No cups are books. All bells are cups. Conclusion: No bells are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  18. 18.Statements: Some books are balls. All balls are shoes. Conclusion: All shoes are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  19. 19.Statements: All coins are caps. Some caps are balls. Conclusion: Some balls are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  20. 20.Statements: All bags are balls. All keys are bags. Conclusion: No balls are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  21. 21.Statements: Some toys are bags. Some shoes are bags. Conclusion: All shoes are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  22. 22.Statements: Some balls are kites. Some keys are balls. Conclusion: Some kites are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  23. 23.Statements: All keys are coins. No coins are kites. Conclusion: All kites are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  24. 24.Statements: All boxes are rings. All rings are keys. Conclusion: No boxes are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  25. 25.Statements: All books are caps. All cups are books. Conclusion: All caps are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  26. 26.Statements: No cups are coins. No caps are coins. Conclusion: No cups are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  27. 27.Statements: Some kites are bags. Some books are kites. Conclusion: Some books are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  28. 28.Statements: All coins are toys. All boxes are toys. Conclusion: Some coins are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  29. 29.Statements: All caps are boxes. All keys are caps. Conclusion: Some boxes are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  30. 30.Statements: Some books are toys. All boxes are toys. Conclusion: All boxes are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  31. 31.Statements: Some books are boxes. Some books are toys. Conclusion: All boxes are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  32. 32.Statements: No rings are coins. All keys are rings. Conclusion: No coins are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  33. 33.Statements: All caps are kites. Some bells are caps. Conclusion: All kites are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  34. 34.Statements: No cups are books. No books are balls. Conclusion: Some cups are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  35. 35.Statements: No books are balls. All caps are balls. Conclusion: All caps are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  36. 36.Statements: No books are kites. All kites are coins. Conclusion: Some books are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  37. 37.Statements: All kites are caps. All kites are books. Conclusion: Some caps are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  38. 38.Statements: Some keys are boxes. All boxes are cups. Conclusion: All cups are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  39. 39.Statements: Some bags are books. All books are pens. Conclusion: All pens are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  40. 40.Statements: No books are bags. No bags are caps. Conclusion: All books are caps. 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. Yes
  9. No
  10. No
  11. Yes
  12. No
  13. No
  14. No
  15. No
  16. No
  17. Yes
  18. No
  19. No
  20. No
  21. No
  22. No
  23. No
  24. No
  25. No
  26. No
  27. No
  28. No
  29. Yes
  30. No
  31. No
  32. Yes
  33. No
  34. No
  35. No
  36. No
  37. Yes
  38. No
  39. No
  40. No

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