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Syllogism Worksheet

Logical reasoning lesson 21: Syllogisms · Set 250 · 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 shoes are books. All caps are shoes. Conclusion: All books are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  2. 2.Statements: No coins are rings. All kites are coins. Conclusion: No rings are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  3. 3.Statements: All rings are bags. All bags are bells. Conclusion: Some bells are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  4. 4.Statements: All caps are toys. Some caps are bags. Conclusion: No toys are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  5. 5.Statements: No toys are pens. All pens are bags. Conclusion: No toys are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  6. 6.Statements: All shoes are toys. Some pens are shoes. Conclusion: No pens are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  7. 7.Statements: All keys are rings. No rings are caps. Conclusion: No keys are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  8. 8.Statements: Some keys are kites. Some keys are bells. Conclusion: Some bells are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  9. 9.Statements: All bells are caps. All caps are rings. Conclusion: All rings are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  10. 10.Statements: Some pens are bells. All bells are bags. Conclusion: Some pens are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  11. 11.Statements: No keys are boxes. All pens are boxes. Conclusion: Some keys are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  12. 12.Statements: All coins are boxes. No boxes are pens. Conclusion: Some coins are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  13. 13.Statements: No coins are kites. All balls are kites. Conclusion: All balls are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  14. 14.Statements: Some pens are balls. Some boxes are balls. Conclusion: No pens are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  15. 15.Statements: All kites are keys. All keys are bags. Conclusion: All kites are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  16. 16.Statements: No kites are cups. No coins are cups. Conclusion: Some coins are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  17. 17.Statements: All books are kites. No toys are kites. Conclusion: No books are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  18. 18.Statements: Some books are caps. No cups are caps. Conclusion: Some cups are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  19. 19.Statements: No kites are coins. No coins are caps. Conclusion: All kites are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  20. 20.Statements: No boxes are rings. All keys are rings. Conclusion: No keys are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  21. 21.Statements: All boxes are pens. Some bags are pens. Conclusion: Some boxes are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  22. 22.Statements: No bells are kites. Some shoes are bells. Conclusion: No shoes are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  23. 23.Statements: All coins are caps. Some coins are toys. Conclusion: Some caps are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  24. 24.Statements: No books are bags. All bags are keys. Conclusion: Some keys are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  25. 25.Statements: No books are pens. Some bags are books. Conclusion: All pens are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  26. 26.Statements: No books are keys. Some shoes are keys. Conclusion: No shoes are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  27. 27.Statements: All boxes are books. Some shoes are books. Conclusion: All shoes are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  28. 28.Statements: Some toys are bells. Some boxes are toys. Conclusion: All bells are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  29. 29.Statements: Some keys are toys. No cups are toys. Conclusion: Some cups are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  30. 30.Statements: No shoes are bells. Some shoes are pens. Conclusion: All bells are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  31. 31.Statements: All bells are bags. All bells are cups. Conclusion: All cups are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  32. 32.Statements: Some cups are kites. All kites are shoes. Conclusion: All shoes are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  33. 33.Statements: Some bags are caps. No bags are books. Conclusion: All books are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  34. 34.Statements: Some pens are bags. All pens are coins. Conclusion: Some bags are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  35. 35.Statements: All pens are cups. All cups are coins. Conclusion: All pens are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  36. 36.Statements: All pens are boxes. No bags are boxes. Conclusion: No bags are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  37. 37.Statements: Some caps are balls. No keys are caps. Conclusion: Some keys are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  38. 38.Statements: Some books are bags. All bells are bags. Conclusion: No bells are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  39. 39.Statements: All caps are balls. No balls are coins. Conclusion: No caps are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  40. 40.Statements: All caps are shoes. All caps are books. Conclusion: No books are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No

Answer key

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

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