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Syllogism Worksheet

Logical reasoning lesson 21: Syllogisms · Set 278 · 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 bells are kites. No kites are keys. Conclusion: No keys are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  2. 2.Statements: No coins are rings. All pens are rings. Conclusion: No coins are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  3. 3.Statements: No books are kites. All keys are kites. Conclusion: No keys are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  4. 4.Statements: All balls are rings. All balls are bags. Conclusion: All bags are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  5. 5.Statements: All shoes are coins. Some coins are pens. Conclusion: All pens are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  6. 6.Statements: No bags are cups. All coins are bags. Conclusion: No cups are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  7. 7.Statements: All caps are keys. All keys are books. Conclusion: Some books are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  8. 8.Statements: Some bells are rings. All caps are bells. Conclusion: All caps are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  9. 9.Statements: No cups are coins. Some cups are keys. Conclusion: All coins are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  10. 10.Statements: Some kites are books. No shoes are books. Conclusion: All shoes are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  11. 11.Statements: All kites are bells. No bells are books. Conclusion: No kites are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  12. 12.Statements: Some pens are caps. Some books are pens. Conclusion: No books are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  13. 13.Statements: No books are pens. Some pens are boxes. Conclusion: Some boxes are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  14. 14.Statements: All books are keys. All books are pens. Conclusion: No pens are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  15. 15.Statements: All balls are boxes. Some boxes are keys. Conclusion: No balls are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  16. 16.Statements: No caps are bags. All bags are kites. Conclusion: All caps are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  17. 17.Statements: All balls are shoes. No balls are books. Conclusion: All books are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  18. 18.Statements: Some pens are toys. No boxes are toys. Conclusion: No pens are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  19. 19.Statements: All boxes are bells. All boxes are kites. Conclusion: Some kites are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  20. 20.Statements: No balls are kites. No toys are kites. Conclusion: All toys are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  21. 21.Statements: All boxes are rings. Some keys are rings. Conclusion: All boxes are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  22. 22.Statements: Some pens are shoes. No pens are bags. Conclusion: No shoes are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  23. 23.Statements: No balls are coins. All boxes are coins. Conclusion: No balls are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  24. 24.Statements: Some boxes are books. All boxes are kites. Conclusion: Some books are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  25. 25.Statements: All shoes are keys. No caps are keys. Conclusion: No caps are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  26. 26.Statements: All boxes are kites. No toys are boxes. Conclusion: No kites are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  27. 27.Statements: Some kites are bags. All kites are boxes. Conclusion: All bags are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  28. 28.Statements: Some shoes are rings. All rings are bags. Conclusion: Some shoes are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  29. 29.Statements: Some caps are cups. All toys are caps. Conclusion: Some cups are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  30. 30.Statements: All shoes are bells. Some shoes are keys. Conclusion: All keys are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  31. 31.Statements: All balls are books. Some caps are books. Conclusion: All caps are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  32. 32.Statements: All balls are bells. No bells are rings. Conclusion: Some balls are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  33. 33.Statements: Some bells are shoes. No shoes are cups. Conclusion: No bells are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  34. 34.Statements: No cups are bags. Some boxes are bags. Conclusion: All boxes are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  35. 35.Statements: Some rings are bells. All rings are keys. Conclusion: Some bells are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  36. 36.Statements: Some boxes are rings. Some coins are rings. Conclusion: All coins are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  37. 37.Statements: No kites are cups. No toys are cups. Conclusion: No kites are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  38. 38.Statements: Some pens are bags. All books are pens. Conclusion: Some bags are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  39. 39.Statements: Some boxes are books. All caps are books. Conclusion: Some boxes are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  40. 40.Statements: All coins are boxes. No bells are coins. Conclusion: All bells are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No

Answer key

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

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