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Syllogism Worksheet

Logical reasoning lesson 21: Syllogisms · Set 223 · 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 books are bags. All bags are kites. Conclusion: All kites are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  2. 2.Statements: All caps are bags. All pens are caps. Conclusion: Some pens are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  3. 3.Statements: Some coins are pens. All coins are toys. Conclusion: Some toys are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  4. 4.Statements: No books are keys. No books are balls. Conclusion: No keys are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  5. 5.Statements: All coins are bells. All bells are boxes. Conclusion: No boxes are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  6. 6.Statements: Some shoes are kites. Some toys are kites. Conclusion: Some toys are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  7. 7.Statements: Some pens are shoes. No bells are pens. Conclusion: All shoes are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  8. 8.Statements: All caps are pens. All pens are shoes. Conclusion: No caps are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  9. 9.Statements: Some boxes are keys. No books are keys. Conclusion: Some boxes are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  10. 10.Statements: All bells are bags. No bags are cups. Conclusion: Some bells are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  11. 11.Statements: All bags are toys. Some boxes are bags. Conclusion: No boxes are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  12. 12.Statements: All bags are shoes. No bells are bags. Conclusion: No shoes are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  13. 13.Statements: Some balls are coins. No bells are balls. Conclusion: Some bells are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  14. 14.Statements: All boxes are coins. Some boxes are pens. Conclusion: All pens are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  15. 15.Statements: All balls are toys. No toys are coins. Conclusion: No balls are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  16. 16.Statements: Some caps are boxes. All boxes are books. Conclusion: Some books are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  17. 17.Statements: All keys are cups. No kites are keys. Conclusion: No kites are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  18. 18.Statements: All bags are toys. Some toys are bells. Conclusion: All bells are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  19. 19.Statements: Some caps are keys. No keys are books. Conclusion: All caps are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  20. 20.Statements: All bags are rings. No shoes are rings. Conclusion: No bags are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  21. 21.Statements: Some bells are cups. Some cups are boxes. Conclusion: Some boxes are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  22. 22.Statements: No bags are pens. No bags are coins. Conclusion: Some pens are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  23. 23.Statements: No toys are books. No bags are books. Conclusion: Some bags are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  24. 24.Statements: All books are pens. All toys are books. Conclusion: All toys are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  25. 25.Statements: No rings are books. Some books are keys. Conclusion: All keys are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  26. 26.Statements: All boxes are coins. Some boxes are kites. Conclusion: Some kites are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  27. 27.Statements: All books are caps. No caps are balls. Conclusion: Some balls are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  28. 28.Statements: All kites are bells. Some bells are bags. Conclusion: No kites are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  29. 29.Statements: No boxes are rings. No boxes are shoes. Conclusion: All shoes are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  30. 30.Statements: No coins are balls. All balls are caps. Conclusion: No caps are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  31. 31.Statements: All balls are books. All balls are bags. Conclusion: Some bags are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  32. 32.Statements: Some bags are rings. All rings are cups. Conclusion: Some bags are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  33. 33.Statements: Some pens are boxes. All boxes are rings. Conclusion: Some pens are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  34. 34.Statements: All caps are balls. No balls are books. Conclusion: Some books are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  35. 35.Statements: No caps are cups. Some balls are cups. Conclusion: Some balls are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  36. 36.Statements: All coins are books. All coins are boxes. Conclusion: Some boxes are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  37. 37.Statements: No pens are balls. Some shoes are balls. Conclusion: Some shoes are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  38. 38.Statements: All bells are caps. All bells are pens. Conclusion: Some pens are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  39. 39.Statements: All keys are shoes. All shoes are books. Conclusion: No keys are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  40. 40.Statements: Some shoes are books. No books are caps. Conclusion: No caps are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No

Answer key

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

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