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Syllogism Worksheet

Logical reasoning lesson 21: Syllogisms · Set 379 · 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: Some books are caps. Some caps are keys. Conclusion: All books are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  2. 2.Statements: Some shoes are toys. Some shoes are bags. Conclusion: No bags are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  3. 3.Statements: All balls are kites. No boxes are kites. Conclusion: All balls are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  4. 4.Statements: Some bags are keys. Some balls are keys. Conclusion: All bags are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  5. 5.Statements: All coins are bells. All coins are toys. Conclusion: All bells are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  6. 6.Statements: Some rings are boxes. Some rings are kites. Conclusion: No kites are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  7. 7.Statements: Some shoes are caps. All caps are balls. Conclusion: All shoes are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  8. 8.Statements: All keys are kites. All keys are balls. Conclusion: All balls are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  9. 9.Statements: All kites are bags. All bags are bells. Conclusion: Some kites are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  10. 10.Statements: All rings are bags. All boxes are bags. Conclusion: No rings are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  11. 11.Statements: All bags are rings. All caps are bags. Conclusion: No rings are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  12. 12.Statements: Some shoes are balls. All bags are shoes. Conclusion: No bags are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  13. 13.Statements: Some toys are balls. Some keys are balls. Conclusion: All keys are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  14. 14.Statements: All toys are books. All boxes are books. Conclusion: All toys are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  15. 15.Statements: All toys are boxes. Some toys are cups. Conclusion: All cups are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  16. 16.Statements: No bells are shoes. All bells are boxes. Conclusion: All boxes are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  17. 17.Statements: All toys are pens. No bells are pens. Conclusion: No toys are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  18. 18.Statements: All boxes are balls. All coins are boxes. Conclusion: No coins are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  19. 19.Statements: No boxes are rings. No boxes are balls. Conclusion: All rings are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  20. 20.Statements: No bells are boxes. Some toys are boxes. Conclusion: Some toys are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  21. 21.Statements: All cups are boxes. No caps are cups. Conclusion: No caps are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  22. 22.Statements: All rings are bells. Some rings are toys. Conclusion: Some toys are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  23. 23.Statements: All books are boxes. All books are toys. Conclusion: No boxes are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  24. 24.Statements: All toys are coins. All books are toys. Conclusion: Some coins are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  25. 25.Statements: Some boxes are toys. All boxes are coins. Conclusion: No toys are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  26. 26.Statements: All pens are boxes. All boxes are balls. Conclusion: No pens are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  27. 27.Statements: No bags are toys. Some shoes are toys. Conclusion: Some shoes are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  28. 28.Statements: No balls are toys. All kites are balls. Conclusion: No toys are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  29. 29.Statements: All balls are toys. All coins are balls. Conclusion: No coins are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  30. 30.Statements: No bags are rings. All kites are bags. Conclusion: All kites are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  31. 31.Statements: No cups are coins. All kites are cups. Conclusion: No coins are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  32. 32.Statements: No rings are balls. All rings are books. Conclusion: Some books are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  33. 33.Statements: All rings are keys. Some rings are bells. Conclusion: All keys are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  34. 34.Statements: Some coins are kites. All kites are boxes. Conclusion: Some coins are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  35. 35.Statements: All cups are kites. All cups are coins. Conclusion: All coins are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  36. 36.Statements: All pens are toys. No toys are boxes. Conclusion: All pens are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  37. 37.Statements: No bags are pens. No rings are pens. Conclusion: No bags are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  38. 38.Statements: Some boxes are kites. Some shoes are boxes. Conclusion: Some shoes are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  39. 39.Statements: All shoes are boxes. Some kites are boxes. Conclusion: No shoes are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  40. 40.Statements: All kites are caps. All caps are bags. Conclusion: All kites are bags. 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. No
  9. Yes
  10. No
  11. No
  12. No
  13. No
  14. No
  15. No
  16. No
  17. Yes
  18. No
  19. No
  20. No
  21. No
  22. Yes
  23. No
  24. Yes
  25. No
  26. No
  27. No
  28. Yes
  29. No
  30. No
  31. Yes
  32. No
  33. No
  34. Yes
  35. No
  36. No
  37. No
  38. No
  39. No
  40. Yes

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