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Syllogism Worksheet

Logical reasoning lesson 21: Syllogisms · Set 225 · 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 rings are cups. Some rings are books. Conclusion: No cups are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  2. 2.Statements: Some pens are bells. All kites are pens. Conclusion: No kites are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  3. 3.Statements: No bags are kites. All bags are books. Conclusion: Some books are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  4. 4.Statements: No balls are coins. All coins are shoes. Conclusion: All shoes are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  5. 5.Statements: No boxes are kites. No boxes are rings. Conclusion: No kites are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  6. 6.Statements: No balls are bags. All bags are coins. Conclusion: No balls are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  7. 7.Statements: Some bells are cups. No shoes are bells. Conclusion: All shoes are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  8. 8.Statements: All boxes are toys. All boxes are books. Conclusion: Some books are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  9. 9.Statements: All bags are kites. All kites are pens. Conclusion: No bags are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  10. 10.Statements: All bags are caps. All pens are caps. Conclusion: All pens are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  11. 11.Statements: All boxes are keys. All bags are keys. Conclusion: No bags are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  12. 12.Statements: All bags are bells. No toys are bells. Conclusion: All toys are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  13. 13.Statements: All pens are coins. Some caps are coins. Conclusion: Some caps are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  14. 14.Statements: All books are balls. No rings are books. Conclusion: No rings are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  15. 15.Statements: All caps are rings. All rings are bags. Conclusion: All caps are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  16. 16.Statements: Some boxes are bells. All cups are boxes. Conclusion: Some bells are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  17. 17.Statements: Some keys are bags. Some caps are bags. Conclusion: All caps are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  18. 18.Statements: All bells are shoes. All shoes are pens. Conclusion: No bells are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  19. 19.Statements: All books are coins. All books are balls. Conclusion: Some coins are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  20. 20.Statements: Some caps are pens. All bells are caps. Conclusion: All pens are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  21. 21.Statements: Some bells are coins. Some balls are coins. Conclusion: All balls are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  22. 22.Statements: All kites are shoes. All boxes are kites. Conclusion: No shoes are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  23. 23.Statements: All cups are coins. No coins are rings. Conclusion: Some rings are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  24. 24.Statements: All cups are bags. All kites are bags. Conclusion: All cups are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  25. 25.Statements: Some caps are boxes. Some caps are keys. Conclusion: Some boxes are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  26. 26.Statements: All kites are boxes. Some kites are coins. Conclusion: All coins are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  27. 27.Statements: All caps are shoes. All bells are shoes. Conclusion: No caps are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  28. 28.Statements: Some balls are bells. Some bells are books. Conclusion: No balls are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  29. 29.Statements: Some boxes are bags. All boxes are pens. Conclusion: All bags are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  30. 30.Statements: No cups are pens. All pens are books. Conclusion: All cups are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  31. 31.Statements: Some bags are shoes. All bags are boxes. Conclusion: Some shoes are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  32. 32.Statements: All toys are boxes. All boxes are bags. Conclusion: No toys are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  33. 33.Statements: All bells are boxes. No boxes are coins. Conclusion: All bells are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  34. 34.Statements: All bags are coins. All coins are bells. Conclusion: All bags are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  35. 35.Statements: Some pens are caps. All caps are cups. Conclusion: Some cups are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  36. 36.Statements: Some shoes are books. All shoes are rings. Conclusion: Some rings are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  37. 37.Statements: All bags are cups. All bags are pens. Conclusion: Some pens are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  38. 38.Statements: All pens are shoes. Some shoes are toys. Conclusion: No pens are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  39. 39.Statements: No pens are bags. All balls are pens. Conclusion: No bags are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  40. 40.Statements: All kites are balls. All balls are bags. Conclusion: All kites are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No

Answer key

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

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