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Syllogism Worksheet

Logical reasoning lesson 21: Syllogisms · Set 254 · 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 caps. All caps are bells. Conclusion: Some bells are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  2. 2.Statements: Some shoes are bags. All shoes are toys. Conclusion: No toys are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  3. 3.Statements: All kites are toys. All kites are books. Conclusion: Some toys are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  4. 4.Statements: All cups are keys. All books are cups. Conclusion: All books are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  5. 5.Statements: All kites are bags. Some boxes are kites. Conclusion: All boxes are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  6. 6.Statements: All toys are cups. No pens are cups. Conclusion: No pens are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  7. 7.Statements: All pens are bells. All kites are pens. Conclusion: All bells are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  8. 8.Statements: No pens are balls. All pens are caps. Conclusion: Some balls are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  9. 9.Statements: All books are pens. All pens are kites. Conclusion: All books are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  10. 10.Statements: No keys are shoes. Some keys are coins. Conclusion: All shoes are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  11. 11.Statements: No pens are kites. Some bags are kites. Conclusion: All bags are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  12. 12.Statements: All pens are shoes. Some toys are shoes. Conclusion: Some toys are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  13. 13.Statements: All balls are books. No books are rings. Conclusion: No rings are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  14. 14.Statements: All bags are books. All books are keys. Conclusion: Some bags are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  15. 15.Statements: All shoes are keys. All toys are keys. Conclusion: No shoes are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  16. 16.Statements: Some balls are pens. All coins are pens. Conclusion: All balls are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  17. 17.Statements: All balls are boxes. No boxes are shoes. Conclusion: All balls are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  18. 18.Statements: Some coins are kites. No rings are kites. Conclusion: No coins are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  19. 19.Statements: Some boxes are bags. All caps are boxes. Conclusion: All caps are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  20. 20.Statements: All books are kites. No kites are keys. Conclusion: No books are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  21. 21.Statements: No shoes are bells. Some bells are caps. Conclusion: No shoes are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  22. 22.Statements: All rings are boxes. No boxes are balls. Conclusion: No rings are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  23. 23.Statements: All caps are books. No boxes are books. Conclusion: Some caps are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  24. 24.Statements: All keys are shoes. Some keys are kites. Conclusion: No kites are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  25. 25.Statements: No cups are pens. All balls are cups. Conclusion: Some pens are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  26. 26.Statements: All books are bags. Some bags are rings. Conclusion: All rings are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  27. 27.Statements: All bags are caps. Some bags are keys. Conclusion: No caps are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  28. 28.Statements: All pens are boxes. Some bags are pens. Conclusion: All boxes are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  29. 29.Statements: All cups are boxes. No boxes are kites. Conclusion: All cups are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  30. 30.Statements: No books are coins. All coins are rings. Conclusion: All rings are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  31. 31.Statements: Some pens are rings. All rings are caps. Conclusion: No pens are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  32. 32.Statements: Some bags are rings. All shoes are bags. Conclusion: Some rings are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  33. 33.Statements: All shoes are caps. Some caps are coins. Conclusion: All coins are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  34. 34.Statements: Some balls are keys. All rings are balls. Conclusion: Some rings are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  35. 35.Statements: All shoes are boxes. All shoes are toys. Conclusion: Some boxes are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  36. 36.Statements: Some bells are books. All shoes are books. Conclusion: No bells are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  37. 37.Statements: No pens are shoes. No shoes are cups. Conclusion: Some cups are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  38. 38.Statements: No pens are coins. All balls are coins. Conclusion: Some balls are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  39. 39.Statements: Some books are balls. All balls are keys. Conclusion: No keys are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  40. 40.Statements: Some kites are pens. No books are pens. Conclusion: Some kites are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No

Answer key

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

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