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Syllogism Worksheet

Logical reasoning lesson 21: Syllogisms · Set 94 · 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 books are bags. Some books are pens. Conclusion: Some pens are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  2. 2.Statements: No toys are balls. All rings are balls. Conclusion: No toys are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  3. 3.Statements: Some bells are pens. All pens are shoes. Conclusion: Some shoes are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  4. 4.Statements: All boxes are coins. All kites are boxes. Conclusion: No coins are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  5. 5.Statements: All boxes are books. All books are shoes. Conclusion: All shoes are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  6. 6.Statements: No caps are boxes. All shoes are caps. Conclusion: All shoes are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  7. 7.Statements: Some toys are books. All books are balls. Conclusion: No balls are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  8. 8.Statements: All pens are caps. No cups are caps. Conclusion: No cups are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  9. 9.Statements: No cups are coins. All boxes are cups. Conclusion: All coins are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  10. 10.Statements: All cups are pens. All cups are boxes. Conclusion: All pens are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  11. 11.Statements: No toys are coins. All coins are rings. Conclusion: Some toys are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  12. 12.Statements: No toys are cups. No toys are boxes. Conclusion: All boxes are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  13. 13.Statements: All bags are rings. Some bags are keys. Conclusion: Some rings are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  14. 14.Statements: All shoes are balls. Some shoes are keys. Conclusion: Some keys are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  15. 15.Statements: No bags are cups. No cups are toys. Conclusion: All toys are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  16. 16.Statements: All toys are bags. Some toys are pens. Conclusion: No bags are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  17. 17.Statements: All cups are bells. All cups are keys. Conclusion: Some bells are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  18. 18.Statements: No books are bags. Some books are caps. Conclusion: All bags are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  19. 19.Statements: No books are pens. Some books are shoes. Conclusion: Some shoes are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  20. 20.Statements: No caps are rings. Some pens are caps. Conclusion: Some rings are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  21. 21.Statements: All kites are coins. All kites are shoes. Conclusion: Some coins are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  22. 22.Statements: All boxes are books. Some boxes are toys. Conclusion: Some books are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  23. 23.Statements: No books are keys. All boxes are books. Conclusion: No keys are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  24. 24.Statements: All bags are cups. No bags are kites. Conclusion: No kites are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  25. 25.Statements: All keys are bells. Some caps are keys. Conclusion: All bells are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  26. 26.Statements: All keys are shoes. All keys are rings. Conclusion: Some rings are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  27. 27.Statements: All boxes are bells. No bells are caps. Conclusion: No caps are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  28. 28.Statements: No bells are books. No coins are books. Conclusion: No coins are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  29. 29.Statements: All bells are coins. No coins are cups. Conclusion: No cups are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  30. 30.Statements: Some pens are books. No books are shoes. Conclusion: No pens are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  31. 31.Statements: All kites are boxes. All boxes are rings. Conclusion: All kites are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  32. 32.Statements: No toys are kites. All kites are books. Conclusion: Some toys are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  33. 33.Statements: All rings are kites. All kites are bells. Conclusion: All bells are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  34. 34.Statements: All kites are coins. All coins are bags. Conclusion: All kites are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  35. 35.Statements: All cups are shoes. Some pens are shoes. Conclusion: All cups are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  36. 36.Statements: No books are coins. All caps are coins. Conclusion: Some caps are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  37. 37.Statements: All kites are bells. Some bells are bags. Conclusion: No bags are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  38. 38.Statements: All boxes are coins. All bags are boxes. Conclusion: Some bags are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  39. 39.Statements: No bags are toys. Some bags are boxes. Conclusion: No toys are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  40. 40.Statements: All cups are toys. No rings are toys. Conclusion: No cups are rings. 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. No
  7. No
  8. Yes
  9. No
  10. No
  11. No
  12. No
  13. Yes
  14. Yes
  15. No
  16. No
  17. Yes
  18. No
  19. No
  20. No
  21. Yes
  22. Yes
  23. Yes
  24. No
  25. No
  26. Yes
  27. Yes
  28. No
  29. Yes
  30. No
  31. Yes
  32. No
  33. No
  34. Yes
  35. No
  36. No
  37. No
  38. Yes
  39. No
  40. Yes

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