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Syllogism Worksheet

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

Answer key

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

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