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Syllogism Worksheet

Logical reasoning lesson 21: Syllogisms · Set 228 · 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: Some coins are boxes. Some coins are caps. Conclusion: Some caps are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  2. 2.Statements: No pens are balls. Some balls are kites. Conclusion: All kites are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  3. 3.Statements: All shoes are toys. Some shoes are rings. Conclusion: Some rings are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  4. 4.Statements: All shoes are balls. All pens are shoes. Conclusion: No pens are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  5. 5.Statements: Some keys are kites. All kites are boxes. Conclusion: Some keys are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  6. 6.Statements: All rings are pens. All boxes are pens. Conclusion: No rings are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  7. 7.Statements: Some books are balls. All shoes are balls. Conclusion: No books are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  8. 8.Statements: All pens are shoes. All pens are rings. Conclusion: No rings are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  9. 9.Statements: All caps are shoes. All keys are caps. Conclusion: No keys are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  10. 10.Statements: No cups are books. No keys are cups. Conclusion: All books are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  11. 11.Statements: All caps are balls. Some shoes are caps. Conclusion: Some balls are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  12. 12.Statements: Some bells are caps. All bells are books. Conclusion: Some books are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  13. 13.Statements: No balls are bells. All balls are bags. Conclusion: Some bags are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  14. 14.Statements: All bells are shoes. No boxes are shoes. Conclusion: Some bells are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  15. 15.Statements: No coins are bells. All coins are pens. Conclusion: Some pens are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  16. 16.Statements: All boxes are keys. Some shoes are keys. Conclusion: Some boxes are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  17. 17.Statements: Some boxes are bells. All bells are rings. Conclusion: Some rings are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  18. 18.Statements: All pens are shoes. All pens are balls. Conclusion: All balls are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  19. 19.Statements: All caps are boxes. Some boxes are pens. Conclusion: No caps are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  20. 20.Statements: All balls are pens. No shoes are pens. Conclusion: No balls are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  21. 21.Statements: Some rings are books. All books are cups. Conclusion: No rings are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  22. 22.Statements: No bags are boxes. All cups are bags. Conclusion: No cups are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  23. 23.Statements: No caps are balls. All coins are caps. Conclusion: Some balls are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  24. 24.Statements: No bells are toys. All caps are bells. Conclusion: No toys are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  25. 25.Statements: All toys are bags. No cups are bags. Conclusion: All cups are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  26. 26.Statements: All balls are rings. Some balls are books. Conclusion: Some rings are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  27. 27.Statements: Some shoes are bags. All balls are bags. Conclusion: Some shoes are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  28. 28.Statements: Some bags are pens. All bags are coins. Conclusion: Some pens are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  29. 29.Statements: All coins are bags. All bags are keys. Conclusion: Some coins are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  30. 30.Statements: Some books are pens. All pens are rings. Conclusion: Some rings are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  31. 31.Statements: Some shoes are pens. All shoes are boxes. Conclusion: Some pens are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  32. 32.Statements: Some bells are rings. No bells are books. Conclusion: Some books are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  33. 33.Statements: Some kites are rings. All rings are coins. Conclusion: Some kites are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  34. 34.Statements: All bells are caps. Some shoes are bells. Conclusion: Some shoes are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  35. 35.Statements: All bags are bells. No bags are balls. Conclusion: Some balls are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  36. 36.Statements: Some boxes are shoes. Some rings are shoes. Conclusion: All rings are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  37. 37.Statements: All toys are shoes. No balls are shoes. Conclusion: All balls are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  38. 38.Statements: Some books are coins. Some bags are books. Conclusion: All bags are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  39. 39.Statements: No caps are keys. No keys are boxes. Conclusion: No caps are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  40. 40.Statements: Some books are boxes. All boxes are bags. Conclusion: Some books are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No

Answer key

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

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