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Syllogism Worksheet

Logical reasoning lesson 21: Syllogisms · Set 219 · 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 toys are books. All books are bags. Conclusion: Some bags are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  2. 2.Statements: All rings are books. No bags are books. Conclusion: Some rings are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  3. 3.Statements: Some bags are balls. Some coins are bags. Conclusion: No coins are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  4. 4.Statements: All bags are books. Some coins are bags. Conclusion: No coins are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  5. 5.Statements: All shoes are bags. All kites are bags. Conclusion: No shoes are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  6. 6.Statements: No boxes are cups. All shoes are cups. Conclusion: Some boxes are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  7. 7.Statements: Some cups are coins. All coins are boxes. Conclusion: All boxes are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  8. 8.Statements: All cups are balls. All shoes are cups. Conclusion: No shoes are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  9. 9.Statements: No cups are books. All balls are books. Conclusion: No cups are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  10. 10.Statements: All toys are balls. All boxes are toys. Conclusion: No boxes are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  11. 11.Statements: All shoes are pens. No books are pens. Conclusion: No shoes are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  12. 12.Statements: Some boxes are coins. All coins are caps. Conclusion: All boxes are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  13. 13.Statements: Some cups are kites. All kites are bags. Conclusion: No bags are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  14. 14.Statements: All coins are caps. All balls are coins. Conclusion: Some caps are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  15. 15.Statements: All balls are bells. All keys are balls. Conclusion: All keys are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  16. 16.Statements: No shoes are boxes. Some shoes are toys. Conclusion: No toys are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  17. 17.Statements: No boxes are caps. All coins are boxes. Conclusion: No coins are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  18. 18.Statements: No bags are balls. Some kites are balls. Conclusion: No kites are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  19. 19.Statements: All keys are bags. Some bells are keys. Conclusion: Some bells are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  20. 20.Statements: All pens are balls. No shoes are balls. Conclusion: Some pens are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  21. 21.Statements: All balls are caps. Some caps are shoes. Conclusion: No balls are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  22. 22.Statements: Some balls are keys. All caps are keys. Conclusion: All caps are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  23. 23.Statements: All bags are balls. Some bags are boxes. Conclusion: All boxes are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  24. 24.Statements: Some balls are coins. Some cups are balls. Conclusion: Some coins are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  25. 25.Statements: No bells are toys. All keys are toys. Conclusion: No bells are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  26. 26.Statements: Some books are pens. No shoes are books. Conclusion: Some pens are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  27. 27.Statements: All toys are shoes. Some kites are shoes. Conclusion: No toys are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  28. 28.Statements: Some books are bags. All books are coins. Conclusion: No coins are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  29. 29.Statements: All keys are bags. No keys are coins. Conclusion: No bags are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  30. 30.Statements: All bags are shoes. No coins are shoes. Conclusion: Some bags are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  31. 31.Statements: Some cups are bells. All cups are rings. Conclusion: Some bells are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  32. 32.Statements: All balls are keys. Some keys are books. Conclusion: All books are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  33. 33.Statements: All bags are balls. Some rings are bags. Conclusion: Some balls are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  34. 34.Statements: No balls are bells. Some bells are toys. Conclusion: No balls are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  35. 35.Statements: Some shoes are boxes. No pens are shoes. Conclusion: All pens are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  36. 36.Statements: No toys are caps. Some toys are kites. Conclusion: Some caps are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  37. 37.Statements: All coins are cups. No coins are books. Conclusion: No cups are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  38. 38.Statements: Some cups are bags. No bags are kites. Conclusion: No cups are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  39. 39.Statements: Some shoes are cups. All kites are cups. Conclusion: Some shoes are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  40. 40.Statements: All boxes are rings. No pens are rings. Conclusion: No pens are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No

Answer key

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

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