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Syllogism Worksheet

Logical reasoning lesson 21: Syllogisms · Set 272 · 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 pens. No pens are balls. Conclusion: Some coins are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  2. 2.Statements: No bells are boxes. All caps are bells. Conclusion: No caps are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  3. 3.Statements: No boxes are caps. All caps are kites. Conclusion: Some boxes are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  4. 4.Statements: All books are balls. Some books are shoes. Conclusion: No balls are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  5. 5.Statements: No caps are pens. Some boxes are caps. Conclusion: All boxes are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  6. 6.Statements: Some caps are coins. All boxes are caps. Conclusion: No coins are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  7. 7.Statements: No bags are cups. No rings are bags. Conclusion: No cups are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  8. 8.Statements: No shoes are books. No books are bells. Conclusion: All shoes are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  9. 9.Statements: Some coins are keys. Some shoes are coins. Conclusion: No shoes are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  10. 10.Statements: All books are bells. All boxes are books. Conclusion: No boxes are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  11. 11.Statements: All balls are bells. All bells are toys. Conclusion: All toys are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  12. 12.Statements: Some caps are pens. All pens are kites. Conclusion: Some caps are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  13. 13.Statements: All pens are balls. All rings are pens. Conclusion: All rings are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  14. 14.Statements: Some kites are caps. All kites are bags. Conclusion: All bags are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  15. 15.Statements: Some coins are caps. All coins are kites. Conclusion: Some caps are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  16. 16.Statements: All cups are kites. Some cups are keys. Conclusion: No keys are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  17. 17.Statements: All bags are boxes. All bags are shoes. Conclusion: All shoes are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  18. 18.Statements: Some cups are books. All cups are pens. Conclusion: Some books are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  19. 19.Statements: No shoes are books. No shoes are balls. Conclusion: No balls are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  20. 20.Statements: All cups are shoes. No shoes are books. Conclusion: Some books are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  21. 21.Statements: All bags are balls. Some pens are balls. Conclusion: All pens are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  22. 22.Statements: All rings are bags. Some rings are keys. Conclusion: Some bags are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  23. 23.Statements: No boxes are cups. All bags are boxes. Conclusion: Some cups are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  24. 24.Statements: Some bags are books. No bags are pens. Conclusion: Some pens are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  25. 25.Statements: All bells are kites. No kites are cups. Conclusion: No cups are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  26. 26.Statements: No toys are books. All books are cups. Conclusion: Some cups are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  27. 27.Statements: Some boxes are rings. All rings are balls. Conclusion: Some boxes are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  28. 28.Statements: All books are keys. All toys are keys. Conclusion: Some toys are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  29. 29.Statements: No caps are shoes. All caps are pens. Conclusion: Some shoes are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  30. 30.Statements: No toys are kites. No kites are bags. Conclusion: Some bags are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  31. 31.Statements: Some books are caps. All books are pens. Conclusion: All caps are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  32. 32.Statements: No coins are cups. All bags are cups. Conclusion: No coins are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  33. 33.Statements: Some boxes are balls. Some kites are balls. Conclusion: All boxes are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  34. 34.Statements: All bells are pens. All bells are shoes. Conclusion: Some pens are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  35. 35.Statements: Some cups are coins. No shoes are cups. Conclusion: All shoes are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  36. 36.Statements: All keys are rings. All boxes are keys. Conclusion: Some rings are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  37. 37.Statements: No boxes are balls. No rings are balls. Conclusion: All rings are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  38. 38.Statements: All rings are bells. Some shoes are rings. Conclusion: Some shoes are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  39. 39.Statements: All books are pens. All books are boxes. Conclusion: Some pens are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  40. 40.Statements: Some bells are caps. Some caps are rings. Conclusion: Some bells are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No

Answer key

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

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