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Syllogism Worksheet

Logical reasoning lesson 21: Syllogisms · Set 355 · 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: No rings are bags. All bags are coins. Conclusion: All rings are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  2. 2.Statements: All bags are caps. Some shoes are bags. Conclusion: Some caps are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  3. 3.Statements: All kites are bells. No bells are toys. Conclusion: All kites are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  4. 4.Statements: All coins are kites. All kites are bags. Conclusion: Some bags are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  5. 5.Statements: No books are kites. All caps are books. Conclusion: No caps are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  6. 6.Statements: All bags are coins. No books are bags. Conclusion: No coins are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  7. 7.Statements: Some keys are bags. All bags are rings. Conclusion: Some rings are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  8. 8.Statements: Some kites are bells. No kites are books. Conclusion: No bells are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  9. 9.Statements: Some toys are bags. All bags are shoes. Conclusion: No shoes are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  10. 10.Statements: All bells are pens. Some books are bells. Conclusion: Some pens are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  11. 11.Statements: No pens are cups. All cups are shoes. Conclusion: All pens are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  12. 12.Statements: No toys are books. All bells are books. Conclusion: No toys are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  13. 13.Statements: No bells are keys. All shoes are keys. Conclusion: No shoes are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  14. 14.Statements: All balls are boxes. No boxes are keys. Conclusion: No balls are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  15. 15.Statements: No balls are caps. All balls are shoes. Conclusion: All shoes are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  16. 16.Statements: Some boxes are caps. All caps are pens. Conclusion: Some boxes are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  17. 17.Statements: All rings are caps. Some boxes are caps. Conclusion: No boxes are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  18. 18.Statements: Some shoes are balls. No toys are shoes. Conclusion: No balls are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  19. 19.Statements: Some coins are bags. Some coins are books. Conclusion: Some books are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  20. 20.Statements: All bags are caps. All caps are boxes. Conclusion: All bags are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  21. 21.Statements: All bags are balls. All caps are balls. Conclusion: All caps are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  22. 22.Statements: No toys are boxes. No boxes are shoes. Conclusion: Some toys are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  23. 23.Statements: All balls are boxes. All boxes are books. Conclusion: Some balls are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  24. 24.Statements: Some kites are caps. No caps are toys. Conclusion: All toys are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  25. 25.Statements: All pens are keys. No keys are balls. Conclusion: No balls are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  26. 26.Statements: Some coins are kites. Some shoes are coins. Conclusion: Some shoes are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  27. 27.Statements: All shoes are boxes. All boxes are toys. Conclusion: Some shoes are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  28. 28.Statements: All shoes are pens. No shoes are toys. Conclusion: All pens are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  29. 29.Statements: Some shoes are pens. Some shoes are bells. Conclusion: No pens are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  30. 30.Statements: Some keys are toys. All toys are shoes. Conclusion: Some shoes are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  31. 31.Statements: All keys are pens. All pens are kites. Conclusion: No keys are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  32. 32.Statements: No books are coins. No coins are kites. Conclusion: No books are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  33. 33.Statements: All keys are books. No books are bags. Conclusion: No bags are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  34. 34.Statements: All bells are toys. All kites are bells. Conclusion: All kites are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  35. 35.Statements: Some caps are toys. Some cups are toys. Conclusion: No caps are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  36. 36.Statements: All balls are pens. Some toys are balls. Conclusion: All toys are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  37. 37.Statements: All shoes are toys. Some bells are shoes. Conclusion: All bells are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  38. 38.Statements: Some books are coins. All rings are coins. Conclusion: All books are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  39. 39.Statements: Some bags are pens. All pens are boxes. Conclusion: Some boxes are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  40. 40.Statements: No bells are keys. All keys are cups. Conclusion: All bells are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No

Answer key

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

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