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Syllogism Worksheet

Logical reasoning lesson 21: Syllogisms · Set 118 · 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 keys are rings. No rings are shoes. Conclusion: No keys are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  2. 2.Statements: No toys are kites. All kites are keys. Conclusion: Some keys are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  3. 3.Statements: All rings are coins. All coins are books. Conclusion: No books are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  4. 4.Statements: No rings are toys. No keys are rings. Conclusion: No toys are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  5. 5.Statements: All cups are coins. No coins are kites. Conclusion: No kites are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  6. 6.Statements: All caps are rings. All rings are bells. Conclusion: No caps are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  7. 7.Statements: All caps are bags. All caps are bells. Conclusion: No bags are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  8. 8.Statements: Some boxes are shoes. Some balls are shoes. Conclusion: Some balls are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  9. 9.Statements: All kites are boxes. No bells are boxes. Conclusion: All kites are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  10. 10.Statements: Some pens are kites. No bags are pens. Conclusion: All bags are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  11. 11.Statements: Some shoes are caps. All caps are books. Conclusion: Some shoes are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  12. 12.Statements: All kites are keys. All kites are books. Conclusion: All books are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  13. 13.Statements: No boxes are bags. All rings are bags. Conclusion: All rings are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  14. 14.Statements: All balls are bags. No bags are shoes. Conclusion: No shoes are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  15. 15.Statements: Some pens are bags. Some boxes are bags. Conclusion: All boxes are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  16. 16.Statements: Some books are shoes. No books are keys. Conclusion: All shoes are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  17. 17.Statements: All boxes are kites. All kites are caps. Conclusion: All boxes are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  18. 18.Statements: No balls are toys. All bells are balls. Conclusion: Some bells are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  19. 19.Statements: All shoes are bells. All shoes are boxes. Conclusion: Some bells are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  20. 20.Statements: No books are balls. Some balls are toys. Conclusion: No books are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  21. 21.Statements: All books are bells. No boxes are bells. Conclusion: No books are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  22. 22.Statements: No pens are keys. All keys are boxes. Conclusion: Some boxes are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  23. 23.Statements: No keys are bags. All kites are bags. Conclusion: Some kites are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  24. 24.Statements: No rings are books. All shoes are books. Conclusion: No shoes are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  25. 25.Statements: Some bells are shoes. All shoes are bags. Conclusion: All bells are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  26. 26.Statements: Some pens are cups. Some bells are cups. Conclusion: No pens are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  27. 27.Statements: All balls are caps. Some keys are balls. Conclusion: Some caps are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  28. 28.Statements: All cups are boxes. Some bags are cups. Conclusion: Some boxes are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  29. 29.Statements: Some bells are coins. Some bells are pens. Conclusion: Some coins are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  30. 30.Statements: Some pens are books. All books are rings. Conclusion: All pens are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  31. 31.Statements: All cups are toys. Some toys are books. Conclusion: All books are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  32. 32.Statements: Some kites are cups. Some bags are cups. Conclusion: No bags are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  33. 33.Statements: All kites are keys. All rings are keys. Conclusion: Some rings are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  34. 34.Statements: Some toys are boxes. No shoes are toys. Conclusion: Some shoes are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  35. 35.Statements: No books are cups. All balls are cups. Conclusion: Some books are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  36. 36.Statements: No balls are books. Some balls are bags. Conclusion: All bags are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  37. 37.Statements: Some coins are bags. All caps are coins. Conclusion: All caps are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  38. 38.Statements: No balls are boxes. No bags are balls. Conclusion: Some bags are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  39. 39.Statements: No boxes are pens. All bells are boxes. Conclusion: No pens are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  40. 40.Statements: All pens are coins. Some bags are pens. Conclusion: Some bags are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No

Answer key

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

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