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Syllogism Worksheet

Logical reasoning lesson 21: Syllogisms · Set 181 · 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 pens are bags. Some cups are pens. Conclusion: Some cups are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  2. 2.Statements: Some kites are books. No kites are keys. Conclusion: Some keys are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  3. 3.Statements: No boxes are toys. Some bags are toys. Conclusion: All boxes are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  4. 4.Statements: All keys are books. All keys are kites. Conclusion: All kites are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  5. 5.Statements: All boxes are books. Some boxes are cups. Conclusion: Some books are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  6. 6.Statements: All bags are coins. Some bags are books. Conclusion: All coins are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  7. 7.Statements: All pens are shoes. All keys are pens. Conclusion: All shoes are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  8. 8.Statements: All balls are cups. Some balls are bags. Conclusion: All bags are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  9. 9.Statements: No bells are bags. Some bags are balls. Conclusion: No bells are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  10. 10.Statements: No bags are kites. Some bags are boxes. Conclusion: All boxes are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  11. 11.Statements: Some rings are shoes. All pens are rings. Conclusion: All pens are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  12. 12.Statements: All caps are shoes. All shoes are pens. Conclusion: No caps are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  13. 13.Statements: No caps are books. Some books are bells. Conclusion: No bells are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  14. 14.Statements: All balls are boxes. All boxes are rings. Conclusion: All balls are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  15. 15.Statements: All books are balls. All balls are boxes. Conclusion: No boxes are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  16. 16.Statements: All bags are bells. No bags are pens. Conclusion: Some pens are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  17. 17.Statements: All shoes are boxes. All boxes are rings. Conclusion: Some rings are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  18. 18.Statements: No toys are bags. Some toys are keys. Conclusion: Some bags are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  19. 19.Statements: All shoes are cups. No keys are cups. Conclusion: Some keys are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  20. 20.Statements: All toys are books. No balls are books. Conclusion: No toys are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  21. 21.Statements: All caps are toys. All books are toys. Conclusion: All caps are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  22. 22.Statements: No books are shoes. All coins are shoes. Conclusion: Some books are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  23. 23.Statements: All keys are toys. All keys are shoes. Conclusion: Some shoes are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  24. 24.Statements: Some bags are balls. All bags are kites. Conclusion: Some kites are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  25. 25.Statements: All shoes are books. All books are coins. Conclusion: Some coins are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  26. 26.Statements: All rings are bags. No coins are bags. Conclusion: No rings are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  27. 27.Statements: No rings are shoes. Some shoes are toys. Conclusion: All rings are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  28. 28.Statements: All cups are coins. No books are coins. Conclusion: All cups are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  29. 29.Statements: No keys are caps. All shoes are keys. Conclusion: No shoes are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  30. 30.Statements: Some shoes are toys. Some rings are toys. Conclusion: Some shoes are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  31. 31.Statements: All books are boxes. All books are cups. Conclusion: All cups are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  32. 32.Statements: Some bags are kites. Some keys are bags. Conclusion: No kites are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  33. 33.Statements: All pens are cups. No pens are books. Conclusion: All books are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  34. 34.Statements: Some pens are toys. Some toys are boxes. Conclusion: Some pens are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  35. 35.Statements: No boxes are toys. All balls are toys. Conclusion: Some balls are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  36. 36.Statements: All books are keys. All keys are cups. Conclusion: No books are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  37. 37.Statements: All coins are books. All toys are books. Conclusion: No coins are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  38. 38.Statements: All kites are rings. Some kites are keys. Conclusion: Some keys are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  39. 39.Statements: No cups are shoes. Some books are shoes. Conclusion: All books are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  40. 40.Statements: No kites are rings. All bells are rings. Conclusion: Some bells are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No

Answer key

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

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