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Syllogism Worksheet

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

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