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Syllogism Worksheet

Logical reasoning lesson 21: Syllogisms · Set 236 · 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 cups are bags. Some bells are cups. Conclusion: Some bags are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  2. 2.Statements: All shoes are toys. No keys are toys. Conclusion: Some shoes are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  3. 3.Statements: No bells are books. All bags are books. Conclusion: No bells are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  4. 4.Statements: All boxes are cups. No toys are boxes. Conclusion: Some cups are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  5. 5.Statements: All balls are shoes. Some boxes are shoes. Conclusion: All boxes are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  6. 6.Statements: All rings are shoes. All toys are rings. Conclusion: No shoes are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  7. 7.Statements: All bags are books. All books are caps. Conclusion: All bags are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  8. 8.Statements: All balls are bells. All balls are keys. Conclusion: Some keys are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  9. 9.Statements: All cups are coins. No cups are pens. Conclusion: No pens are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  10. 10.Statements: No shoes are pens. All shoes are toys. Conclusion: Some toys are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  11. 11.Statements: No keys are bags. No pens are bags. Conclusion: All pens are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  12. 12.Statements: No bells are kites. All kites are boxes. Conclusion: All boxes are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  13. 13.Statements: All coins are keys. All keys are toys. Conclusion: All toys are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  14. 14.Statements: All boxes are rings. Some pens are boxes. Conclusion: All pens are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  15. 15.Statements: All books are toys. No boxes are books. Conclusion: All toys are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  16. 16.Statements: Some books are balls. No boxes are balls. Conclusion: Some boxes are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  17. 17.Statements: No toys are keys. Some shoes are keys. Conclusion: Some toys are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  18. 18.Statements: Some books are cups. Some caps are cups. Conclusion: All caps are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  19. 19.Statements: All shoes are cups. No cups are boxes. Conclusion: No shoes are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  20. 20.Statements: Some bags are boxes. All bags are books. Conclusion: Some books are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  21. 21.Statements: No bags are keys. All keys are pens. Conclusion: All bags are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  22. 22.Statements: Some kites are books. All kites are bells. Conclusion: Some books are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  23. 23.Statements: No bells are caps. All coins are bells. Conclusion: No caps are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  24. 24.Statements: All caps are boxes. Some caps are pens. Conclusion: All pens are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  25. 25.Statements: Some caps are toys. Some coins are toys. Conclusion: No coins are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  26. 26.Statements: Some bags are boxes. Some bags are pens. Conclusion: Some pens are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  27. 27.Statements: Some balls are rings. No toys are rings. Conclusion: Some toys are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  28. 28.Statements: Some pens are toys. No pens are bags. Conclusion: All toys are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  29. 29.Statements: All toys are bags. All coins are bags. Conclusion: All toys are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  30. 30.Statements: All keys are pens. No cups are pens. Conclusion: All keys are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  31. 31.Statements: All bags are boxes. All rings are boxes. Conclusion: All rings are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  32. 32.Statements: All balls are bags. No balls are bells. Conclusion: All bells are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  33. 33.Statements: Some balls are cups. No pens are cups. Conclusion: All balls are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  34. 34.Statements: Some boxes are pens. Some pens are cups. Conclusion: No cups are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  35. 35.Statements: All rings are cups. No shoes are cups. Conclusion: All shoes are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  36. 36.Statements: No keys are balls. Some keys are bags. Conclusion: All bags are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  37. 37.Statements: Some boxes are keys. No rings are boxes. Conclusion: All rings are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  38. 38.Statements: All keys are books. No caps are books. Conclusion: Some caps are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  39. 39.Statements: All bags are books. No books are boxes. Conclusion: No bags are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  40. 40.Statements: No kites are boxes. All toys are boxes. Conclusion: No toys are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No

Answer key

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

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