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Syllogism Worksheet

Logical reasoning lesson 21: Syllogisms · Set 387 · 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 balls. All rings are caps. Conclusion: Some caps are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  2. 2.Statements: Some coins are kites. Some kites are balls. Conclusion: Some coins are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  3. 3.Statements: All rings are balls. All toys are rings. Conclusion: All toys are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  4. 4.Statements: All coins are boxes. All bells are boxes. Conclusion: Some bells are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  5. 5.Statements: Some cups are caps. All shoes are cups. Conclusion: No shoes are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  6. 6.Statements: All bags are pens. No bags are bells. Conclusion: All pens are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  7. 7.Statements: All rings are boxes. All boxes are balls. Conclusion: Some balls are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  8. 8.Statements: All bells are balls. Some balls are coins. Conclusion: Some bells are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  9. 9.Statements: All cups are boxes. Some rings are boxes. Conclusion: No cups are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  10. 10.Statements: Some bells are keys. All kites are keys. Conclusion: All bells are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  11. 11.Statements: All coins are balls. All shoes are balls. Conclusion: All shoes are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  12. 12.Statements: All boxes are coins. Some boxes are books. Conclusion: All books are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  13. 13.Statements: No caps are pens. No bags are pens. Conclusion: Some caps are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  14. 14.Statements: Some boxes are keys. All shoes are boxes. Conclusion: No shoes are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  15. 15.Statements: All bells are pens. No coins are pens. Conclusion: No bells are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  16. 16.Statements: No cups are boxes. No boxes are coins. Conclusion: Some coins are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  17. 17.Statements: No books are toys. Some bells are books. Conclusion: No toys are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  18. 18.Statements: All balls are pens. No pens are bags. Conclusion: No bags are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  19. 19.Statements: Some kites are shoes. All shoes are cups. Conclusion: All cups are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  20. 20.Statements: All coins are pens. No pens are boxes. Conclusion: No boxes are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  21. 21.Statements: Some bells are bags. All bags are shoes. Conclusion: All bells are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  22. 22.Statements: No books are coins. No coins are toys. Conclusion: No toys are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  23. 23.Statements: All rings are bags. All bells are rings. Conclusion: Some bags are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  24. 24.Statements: No books are shoes. No shoes are keys. Conclusion: No books are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  25. 25.Statements: No balls are kites. Some balls are books. Conclusion: All kites are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  26. 26.Statements: All kites are bags. All bags are keys. Conclusion: No keys are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  27. 27.Statements: Some caps are bags. All caps are boxes. Conclusion: Some boxes are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  28. 28.Statements: No toys are bells. No shoes are bells. Conclusion: Some toys are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  29. 29.Statements: All rings are pens. No boxes are pens. Conclusion: No rings are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  30. 30.Statements: Some toys are coins. Some toys are caps. Conclusion: No caps are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  31. 31.Statements: All shoes are boxes. No boxes are pens. Conclusion: Some pens are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  32. 32.Statements: All caps are boxes. No caps are rings. Conclusion: All boxes are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  33. 33.Statements: No coins are pens. Some coins are shoes. Conclusion: Some shoes are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  34. 34.Statements: All keys are books. No books are kites. Conclusion: Some keys are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  35. 35.Statements: All keys are bags. Some books are keys. Conclusion: No bags are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  36. 36.Statements: All pens are balls. No rings are balls. Conclusion: All pens are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  37. 37.Statements: All keys are cups. All keys are kites. Conclusion: No cups are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  38. 38.Statements: All bags are boxes. All boxes are balls. Conclusion: Some balls are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  39. 39.Statements: Some bags are books. Some boxes are books. Conclusion: No boxes are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  40. 40.Statements: All toys are bags. No kites are bags. Conclusion: No toys are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No

Answer key

  1. No
  2. No
  3. Yes
  4. No
  5. No
  6. No
  7. Yes
  8. No
  9. No
  10. No
  11. No
  12. No
  13. No
  14. No
  15. Yes
  16. No
  17. No
  18. Yes
  19. No
  20. Yes
  21. No
  22. No
  23. Yes
  24. No
  25. No
  26. No
  27. Yes
  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. Yes

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