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Syllogism Worksheet

Logical reasoning lesson 21: Syllogisms · Set 256 · 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 balls are toys. All balls are pens. Conclusion: Some pens are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  2. 2.Statements: Some kites are bells. No balls are bells. Conclusion: All kites are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  3. 3.Statements: Some shoes are pens. No shoes are kites. Conclusion: All pens are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  4. 4.Statements: All pens are books. All pens are coins. Conclusion: All books are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  5. 5.Statements: All kites are keys. No shoes are kites. Conclusion: No keys are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  6. 6.Statements: All caps are boxes. Some bags are caps. Conclusion: Some boxes are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  7. 7.Statements: No coins are keys. No bags are keys. Conclusion: All coins are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  8. 8.Statements: No kites are bags. All kites are keys. Conclusion: All bags are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  9. 9.Statements: All bags are books. No books are balls. Conclusion: Some balls are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  10. 10.Statements: All books are coins. All keys are books. Conclusion: All coins are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  11. 11.Statements: All pens are balls. Some pens are coins. Conclusion: Some balls are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  12. 12.Statements: No cups are books. All shoes are cups. Conclusion: Some books are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  13. 13.Statements: No toys are pens. No toys are bags. Conclusion: All pens are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  14. 14.Statements: No toys are books. All toys are coins. Conclusion: All books are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  15. 15.Statements: No rings are books. All books are kites. Conclusion: Some kites are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  16. 16.Statements: No cups are bags. No balls are bags. Conclusion: All cups are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  17. 17.Statements: All coins are caps. No caps are books. Conclusion: All coins are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  18. 18.Statements: All bags are cups. All books are bags. Conclusion: All cups are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  19. 19.Statements: Some boxes are pens. All rings are boxes. Conclusion: All pens are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  20. 20.Statements: All bells are keys. All keys are cups. Conclusion: All bells are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  21. 21.Statements: All toys are boxes. All boxes are kites. Conclusion: No kites are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  22. 22.Statements: Some bags are cups. No shoes are cups. Conclusion: All shoes are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  23. 23.Statements: All bells are boxes. Some bags are bells. Conclusion: Some boxes are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  24. 24.Statements: All rings are bags. No bags are pens. Conclusion: All rings are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  25. 25.Statements: Some books are pens. All pens are rings. Conclusion: No books are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  26. 26.Statements: No bells are caps. No pens are bells. Conclusion: No pens are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  27. 27.Statements: All boxes are coins. All rings are boxes. Conclusion: Some coins are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  28. 28.Statements: All bags are balls. All books are bags. Conclusion: All balls are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  29. 29.Statements: No kites are cups. No cups are bags. Conclusion: Some kites are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  30. 30.Statements: All toys are coins. No books are coins. Conclusion: No toys are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  31. 31.Statements: All boxes are books. All books are balls. Conclusion: Some boxes are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  32. 32.Statements: No keys are shoes. All bags are keys. Conclusion: Some bags are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  33. 33.Statements: All bells are caps. No caps are cups. Conclusion: Some bells are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  34. 34.Statements: Some kites are toys. All toys are bags. Conclusion: No kites are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  35. 35.Statements: All books are bells. Some caps are books. Conclusion: Some caps are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  36. 36.Statements: All toys are bags. All keys are toys. Conclusion: All bags are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  37. 37.Statements: Some toys are coins. All kites are toys. Conclusion: No kites are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  38. 38.Statements: All bags are books. All books are boxes. Conclusion: Some boxes are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  39. 39.Statements: All boxes are rings. All cups are rings. Conclusion: All boxes are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  40. 40.Statements: All pens are bells. All bells are coins. Conclusion: No coins are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No

Answer key

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

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