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Syllogism Worksheet

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

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