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Syllogism Worksheet

Logical reasoning lesson 21: Syllogisms · Set 329 · 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 boxes. All toys are rings. Conclusion: No toys are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  2. 2.Statements: All pens are bags. All pens are toys. Conclusion: No toys are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  3. 3.Statements: All shoes are caps. No caps are toys. Conclusion: No toys are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  4. 4.Statements: Some balls are shoes. All shoes are bells. Conclusion: All balls are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  5. 5.Statements: Some shoes are balls. All balls are caps. Conclusion: Some caps are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  6. 6.Statements: All shoes are bells. Some shoes are toys. Conclusion: All bells are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  7. 7.Statements: Some keys are books. All keys are bags. Conclusion: Some books are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  8. 8.Statements: All caps are coins. All coins are bags. Conclusion: All caps are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  9. 9.Statements: All toys are balls. All balls are caps. Conclusion: All toys are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  10. 10.Statements: All bells are pens. All bells are kites. Conclusion: Some pens are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  11. 11.Statements: No pens are caps. Some rings are caps. Conclusion: All rings are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  12. 12.Statements: No bags are boxes. Some pens are boxes. Conclusion: All bags are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  13. 13.Statements: No kites are bells. All rings are bells. Conclusion: No kites are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  14. 14.Statements: All coins are bags. No coins are pens. Conclusion: All pens are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  15. 15.Statements: No coins are keys. All coins are rings. Conclusion: No rings are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  16. 16.Statements: Some toys are bags. All pens are toys. Conclusion: Some bags are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  17. 17.Statements: All bells are toys. No books are toys. Conclusion: All books are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  18. 18.Statements: All bells are books. No pens are books. Conclusion: All bells are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  19. 19.Statements: No pens are kites. No boxes are pens. Conclusion: All kites are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  20. 20.Statements: Some books are bags. No pens are bags. Conclusion: All books are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  21. 21.Statements: No boxes are rings. No boxes are books. Conclusion: Some books are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  22. 22.Statements: No balls are rings. No shoes are rings. Conclusion: Some balls are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  23. 23.Statements: All pens are caps. All pens are boxes. Conclusion: All boxes are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  24. 24.Statements: All caps are coins. Some caps are bells. Conclusion: Some coins are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  25. 25.Statements: All caps are cups. Some bells are caps. Conclusion: All bells are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  26. 26.Statements: All cups are rings. Some coins are cups. Conclusion: Some coins are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  27. 27.Statements: All shoes are bags. No bells are bags. Conclusion: No bells are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  28. 28.Statements: Some pens are bags. All shoes are pens. Conclusion: No bags are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  29. 29.Statements: All pens are books. All pens are balls. Conclusion: All balls are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  30. 30.Statements: All coins are books. All rings are coins. Conclusion: All books are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  31. 31.Statements: All shoes are balls. No balls are rings. Conclusion: No shoes are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  32. 32.Statements: No toys are cups. Some boxes are toys. Conclusion: No boxes are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  33. 33.Statements: No rings are caps. No caps are cups. Conclusion: Some cups are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  34. 34.Statements: Some balls are kites. All balls are books. Conclusion: Some kites are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  35. 35.Statements: All balls are boxes. All toys are balls. Conclusion: All toys are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  36. 36.Statements: All bags are cups. Some cups are caps. Conclusion: No caps are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  37. 37.Statements: No caps are kites. All shoes are kites. Conclusion: No shoes are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  38. 38.Statements: No pens are books. All shoes are books. Conclusion: Some shoes are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  39. 39.Statements: No balls are cups. All cups are books. Conclusion: All balls are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  40. 40.Statements: All caps are shoes. All shoes are pens. Conclusion: All caps are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No

Answer key

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

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