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Syllogism Worksheet

Logical reasoning lesson 21: Syllogisms · Set 243 · 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 keys are shoes. All shoes are boxes. Conclusion: Some boxes are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  2. 2.Statements: All boxes are cups. No cups are caps. Conclusion: No caps are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  3. 3.Statements: Some books are bags. All keys are bags. Conclusion: No keys are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  4. 4.Statements: No toys are boxes. All coins are boxes. Conclusion: Some coins are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  5. 5.Statements: Some shoes are caps. All bags are caps. Conclusion: All shoes are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  6. 6.Statements: Some books are rings. No pens are books. Conclusion: No pens are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  7. 7.Statements: All bells are books. All coins are bells. Conclusion: All books are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  8. 8.Statements: Some cups are bells. No pens are bells. Conclusion: All cups are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  9. 9.Statements: No shoes are bells. All shoes are balls. Conclusion: All balls are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  10. 10.Statements: Some keys are toys. All toys are bells. Conclusion: Some bells are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  11. 11.Statements: No keys are books. No kites are keys. Conclusion: All books are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  12. 12.Statements: Some kites are caps. No books are kites. Conclusion: All books are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  13. 13.Statements: No kites are bags. All bags are coins. Conclusion: All kites are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  14. 14.Statements: All balls are bells. All boxes are balls. Conclusion: All bells are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  15. 15.Statements: Some caps are boxes. All boxes are rings. Conclusion: No caps are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  16. 16.Statements: All coins are cups. No coins are books. Conclusion: No cups are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  17. 17.Statements: Some cups are shoes. Some shoes are coins. Conclusion: All cups are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  18. 18.Statements: Some kites are toys. All kites are bags. Conclusion: Some bags are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  19. 19.Statements: No coins are balls. All coins are caps. Conclusion: Some caps are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  20. 20.Statements: All bags are keys. No caps are bags. Conclusion: Some caps are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  21. 21.Statements: All caps are bells. Some caps are pens. Conclusion: Some bells are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  22. 22.Statements: Some toys are cups. Some keys are cups. Conclusion: Some toys are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  23. 23.Statements: Some bags are coins. All cups are bags. Conclusion: All cups are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  24. 24.Statements: Some shoes are books. Some books are bells. Conclusion: All bells are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  25. 25.Statements: All bags are shoes. No shoes are caps. Conclusion: All bags are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  26. 26.Statements: No balls are keys. Some shoes are balls. Conclusion: Some shoes are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  27. 27.Statements: All keys are coins. No coins are bells. Conclusion: All bells are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  28. 28.Statements: All keys are bags. Some balls are keys. Conclusion: No bags are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  29. 29.Statements: All caps are books. All keys are caps. Conclusion: All books are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  30. 30.Statements: No keys are bells. No toys are keys. Conclusion: Some bells are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  31. 31.Statements: No bells are cups. All rings are cups. Conclusion: No rings are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  32. 32.Statements: All kites are balls. All balls are rings. Conclusion: All rings are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  33. 33.Statements: No caps are coins. Some coins are pens. Conclusion: Some pens are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  34. 34.Statements: No pens are cups. All cups are bags. Conclusion: Some pens are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  35. 35.Statements: No shoes are balls. No rings are shoes. Conclusion: All balls are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  36. 36.Statements: Some caps are toys. All toys are shoes. Conclusion: Some caps are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  37. 37.Statements: Some books are pens. No books are toys. Conclusion: No pens are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  38. 38.Statements: Some pens are keys. No pens are kites. Conclusion: Some keys are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  39. 39.Statements: Some caps are kites. Some kites are coins. Conclusion: Some caps are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  40. 40.Statements: All books are balls. All pens are books. Conclusion: Some balls are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No

Answer key

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

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