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Syllogism Worksheet

Logical reasoning lesson 21: Syllogisms · Set 381 · 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 rings are books. All shoes are rings. Conclusion: Some books are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  2. 2.Statements: Some bells are caps. No toys are caps. Conclusion: No toys are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  3. 3.Statements: Some kites are cups. Some kites are rings. Conclusion: No cups are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  4. 4.Statements: All keys are coins. Some pens are keys. Conclusion: Some pens are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  5. 5.Statements: No keys are pens. No keys are caps. Conclusion: No pens are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  6. 6.Statements: Some books are shoes. No shoes are pens. Conclusion: No books are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  7. 7.Statements: No kites are shoes. All kites are bells. Conclusion: Some shoes are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  8. 8.Statements: All shoes are coins. All coins are toys. Conclusion: Some toys are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  9. 9.Statements: No toys are balls. No balls are pens. Conclusion: All toys are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  10. 10.Statements: Some pens are cups. All cups are bags. Conclusion: Some pens are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  11. 11.Statements: Some boxes are bells. All boxes are cups. Conclusion: Some bells are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  12. 12.Statements: No bells are boxes. Some bells are cups. Conclusion: Some cups are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  13. 13.Statements: All coins are rings. All boxes are coins. Conclusion: No rings are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  14. 14.Statements: All cups are coins. All coins are pens. Conclusion: Some pens are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  15. 15.Statements: No balls are kites. No rings are kites. Conclusion: All balls are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  16. 16.Statements: Some kites are books. Some books are rings. Conclusion: All kites are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  17. 17.Statements: No caps are kites. All books are kites. Conclusion: Some caps are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  18. 18.Statements: All toys are pens. All shoes are pens. Conclusion: All shoes are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  19. 19.Statements: Some balls are bells. All balls are bags. Conclusion: Some bells are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  20. 20.Statements: Some bags are keys. Some bags are pens. Conclusion: All keys are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  21. 21.Statements: Some shoes are kites. All rings are kites. Conclusion: Some rings are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  22. 22.Statements: All bags are boxes. All bags are rings. Conclusion: All rings are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  23. 23.Statements: All shoes are pens. All pens are bags. Conclusion: All bags are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  24. 24.Statements: No shoes are boxes. Some bags are shoes. Conclusion: Some bags are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  25. 25.Statements: Some books are pens. Some pens are bags. Conclusion: No bags are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  26. 26.Statements: No shoes are boxes. No books are shoes. Conclusion: All books are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  27. 27.Statements: All kites are shoes. All kites are pens. Conclusion: No pens are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  28. 28.Statements: All coins are caps. Some coins are boxes. Conclusion: Some caps are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  29. 29.Statements: All cups are books. No books are shoes. Conclusion: No cups are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  30. 30.Statements: Some bags are coins. All coins are keys. Conclusion: All bags are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  31. 31.Statements: No bells are keys. No coins are bells. Conclusion: Some coins are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  32. 32.Statements: All cups are keys. All cups are boxes. Conclusion: All boxes are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  33. 33.Statements: No rings are keys. All toys are rings. Conclusion: No keys are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  34. 34.Statements: Some pens are shoes. Some boxes are shoes. Conclusion: Some pens are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  35. 35.Statements: No bells are cups. All pens are cups. Conclusion: Some bells are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  36. 36.Statements: Some bells are shoes. All bells are rings. Conclusion: Some shoes are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  37. 37.Statements: Some bags are keys. No keys are books. Conclusion: All bags are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  38. 38.Statements: All caps are pens. No books are pens. Conclusion: All caps are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  39. 39.Statements: All coins are bells. No bells are books. Conclusion: No books are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  40. 40.Statements: No cups are coins. No shoes are coins. Conclusion: Some cups are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No

Answer key

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

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