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Syllogism Worksheet

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

Answer key

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

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