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Syllogism Worksheet

Logical reasoning lesson 21: Syllogisms · Set 211 · 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 toys are rings. No rings are bags. Conclusion: All toys are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  2. 2.Statements: All kites are shoes. All shoes are books. Conclusion: All books are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  3. 3.Statements: All balls are keys. All keys are rings. Conclusion: Some rings are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  4. 4.Statements: Some books are rings. All shoes are rings. Conclusion: Some books are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  5. 5.Statements: Some balls are kites. All bags are balls. Conclusion: No bags are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  6. 6.Statements: Some balls are coins. All keys are coins. Conclusion: No balls are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  7. 7.Statements: No balls are pens. No pens are books. Conclusion: All books are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  8. 8.Statements: All books are keys. No keys are kites. Conclusion: No kites are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  9. 9.Statements: Some books are shoes. No shoes are bags. Conclusion: All books are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  10. 10.Statements: All kites are books. No books are balls. Conclusion: No balls are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  11. 11.Statements: No coins are books. Some coins are kites. Conclusion: No kites are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  12. 12.Statements: All pens are toys. All shoes are toys. Conclusion: No pens are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  13. 13.Statements: No toys are pens. Some caps are pens. Conclusion: No toys are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  14. 14.Statements: Some keys are coins. All keys are bells. Conclusion: Some coins are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  15. 15.Statements: All bags are caps. All bags are rings. Conclusion: Some caps are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  16. 16.Statements: All bells are rings. All rings are coins. Conclusion: Some bells are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  17. 17.Statements: No shoes are pens. Some shoes are keys. Conclusion: All keys are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  18. 18.Statements: All keys are shoes. Some keys are coins. Conclusion: No coins are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  19. 19.Statements: No coins are keys. All bags are keys. Conclusion: Some bags are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  20. 20.Statements: All coins are books. All toys are coins. Conclusion: No toys are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  21. 21.Statements: Some cups are caps. No coins are cups. Conclusion: All caps are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  22. 22.Statements: No toys are balls. No toys are bags. Conclusion: No balls are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  23. 23.Statements: All coins are kites. No kites are caps. Conclusion: No caps are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  24. 24.Statements: Some keys are boxes. Some boxes are bags. Conclusion: Some bags are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  25. 25.Statements: All coins are balls. All toys are coins. Conclusion: No balls are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  26. 26.Statements: All balls are toys. Some balls are shoes. Conclusion: Some toys are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  27. 27.Statements: No rings are boxes. Some rings are toys. Conclusion: All boxes are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  28. 28.Statements: All boxes are kites. No cups are kites. Conclusion: Some boxes are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  29. 29.Statements: No books are bells. All shoes are books. Conclusion: No bells are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  30. 30.Statements: No balls are cups. No cups are rings. Conclusion: Some rings are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  31. 31.Statements: All pens are balls. No boxes are pens. Conclusion: Some balls are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  32. 32.Statements: All rings are kites. No kites are pens. Conclusion: All pens are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  33. 33.Statements: Some bells are rings. No rings are boxes. Conclusion: All bells are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  34. 34.Statements: Some rings are kites. No rings are cups. Conclusion: No cups are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  35. 35.Statements: No toys are rings. All books are rings. Conclusion: No books are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  36. 36.Statements: All balls are books. All books are boxes. Conclusion: No boxes are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  37. 37.Statements: All caps are pens. No shoes are caps. Conclusion: All pens are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  38. 38.Statements: No balls are keys. Some keys are bags. Conclusion: All bags are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  39. 39.Statements: All coins are keys. Some coins are rings. Conclusion: All rings are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  40. 40.Statements: All pens are books. All pens are toys. Conclusion: Some toys are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No

Answer key

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

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