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Syllogism Worksheet

Logical reasoning lesson 21: Syllogisms · Set 41 · 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 boxes are cups. No bells are boxes. Conclusion: Some bells are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  2. 2.Statements: Some balls are bells. Some balls are bags. Conclusion: Some bags are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  3. 3.Statements: Some shoes are toys. No shoes are kites. Conclusion: Some kites are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  4. 4.Statements: Some balls are books. All books are kites. Conclusion: All balls are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  5. 5.Statements: All balls are books. All pens are books. Conclusion: Some pens are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  6. 6.Statements: No shoes are bags. All shoes are keys. Conclusion: No keys are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  7. 7.Statements: No pens are coins. All coins are books. Conclusion: No books are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  8. 8.Statements: All rings are toys. All toys are caps. Conclusion: All rings are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  9. 9.Statements: Some coins are bells. All cups are coins. Conclusion: All cups are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  10. 10.Statements: Some books are pens. Some pens are shoes. Conclusion: All books are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  11. 11.Statements: No cups are books. All books are boxes. Conclusion: No boxes are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  12. 12.Statements: Some boxes are rings. All rings are caps. Conclusion: Some boxes are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  13. 13.Statements: Some coins are boxes. Some keys are boxes. Conclusion: All keys are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  14. 14.Statements: Some books are boxes. Some books are pens. Conclusion: Some boxes are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  15. 15.Statements: All boxes are rings. Some books are boxes. Conclusion: Some books are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  16. 16.Statements: All rings are boxes. No shoes are rings. Conclusion: Some boxes are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  17. 17.Statements: Some books are bags. No books are pens. Conclusion: No pens are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  18. 18.Statements: All caps are shoes. No shoes are boxes. Conclusion: No caps are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  19. 19.Statements: Some pens are caps. All caps are rings. Conclusion: All pens are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  20. 20.Statements: Some pens are cups. All bags are cups. Conclusion: All pens are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  21. 21.Statements: Some rings are cups. Some bags are cups. Conclusion: All bags are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  22. 22.Statements: All bells are boxes. All bells are kites. Conclusion: No boxes are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  23. 23.Statements: Some boxes are caps. No coins are caps. Conclusion: All coins are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  24. 24.Statements: All cups are rings. All boxes are rings. Conclusion: All cups are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  25. 25.Statements: All bells are books. All pens are bells. Conclusion: All pens are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  26. 26.Statements: Some caps are kites. All kites are coins. Conclusion: Some coins are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  27. 27.Statements: All rings are pens. All rings are bells. Conclusion: No pens are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  28. 28.Statements: All balls are cups. All shoes are balls. Conclusion: No cups are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  29. 29.Statements: No shoes are coins. No caps are coins. Conclusion: All shoes are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  30. 30.Statements: Some coins are books. Some toys are coins. Conclusion: No toys are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  31. 31.Statements: All shoes are balls. Some shoes are caps. Conclusion: All balls are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  32. 32.Statements: Some balls are toys. All balls are boxes. Conclusion: No toys are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  33. 33.Statements: All boxes are coins. All boxes are pens. Conclusion: Some coins are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  34. 34.Statements: No books are kites. All shoes are kites. Conclusion: No books are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  35. 35.Statements: All boxes are rings. All rings are keys. Conclusion: All keys are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  36. 36.Statements: No pens are bells. No shoes are pens. Conclusion: All shoes are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  37. 37.Statements: No books are bells. All pens are books. Conclusion: Some pens are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  38. 38.Statements: No balls are bags. All cups are balls. Conclusion: No bags are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  39. 39.Statements: All caps are rings. Some shoes are caps. Conclusion: No rings are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  40. 40.Statements: All coins are caps. Some coins are bags. Conclusion: Some caps 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. Yes
  13. No
  14. No
  15. Yes
  16. No
  17. No
  18. Yes
  19. No
  20. No
  21. No
  22. No
  23. No
  24. No
  25. Yes
  26. Yes
  27. No
  28. No
  29. No
  30. No
  31. No
  32. No
  33. Yes
  34. Yes
  35. No
  36. No
  37. No
  38. Yes
  39. No
  40. Yes

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