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Syllogism Worksheet

Logical reasoning lesson 21: Syllogisms · Set 373 · 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: All pens are books. Some bells are books. Conclusion: All bells are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  2. 2.Statements: Some kites are books. All kites are caps. Conclusion: All books are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  3. 3.Statements: All keys are toys. No boxes are toys. Conclusion: Some boxes are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  4. 4.Statements: All cups are pens. All bags are pens. Conclusion: Some cups are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  5. 5.Statements: No rings are bags. No shoes are rings. Conclusion: All shoes are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  6. 6.Statements: Some toys are bells. All toys are coins. Conclusion: Some coins are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  7. 7.Statements: All pens are keys. Some keys are balls. Conclusion: No balls are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  8. 8.Statements: No cups are toys. Some boxes are toys. Conclusion: All cups are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  9. 9.Statements: No cups are caps. No cups are balls. Conclusion: No caps are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  10. 10.Statements: All balls are books. Some balls are rings. Conclusion: Some rings are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  11. 11.Statements: All caps are bells. Some coins are caps. Conclusion: All coins are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  12. 12.Statements: No kites are coins. All cups are coins. Conclusion: All kites are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  13. 13.Statements: Some toys are bags. All bags are shoes. Conclusion: Some shoes are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  14. 14.Statements: No keys are rings. All keys are coins. Conclusion: No rings are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  15. 15.Statements: Some rings are keys. All keys are coins. Conclusion: No coins are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  16. 16.Statements: No cups are bags. All books are cups. Conclusion: No books are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  17. 17.Statements: Some shoes are rings. No shoes are books. Conclusion: Some books are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  18. 18.Statements: All pens are cups. All cups are balls. Conclusion: Some balls are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  19. 19.Statements: All books are kites. All bags are books. Conclusion: Some kites are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  20. 20.Statements: All shoes are rings. Some bags are shoes. Conclusion: No rings are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  21. 21.Statements: All toys are kites. Some toys are books. Conclusion: All books are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  22. 22.Statements: All toys are cups. All boxes are cups. Conclusion: Some toys are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  23. 23.Statements: Some cups are balls. All keys are cups. Conclusion: All keys are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  24. 24.Statements: All pens are coins. All coins are bells. Conclusion: No bells are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  25. 25.Statements: All bags are books. No kites are books. Conclusion: Some bags are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  26. 26.Statements: All coins are pens. No balls are coins. Conclusion: All balls are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  27. 27.Statements: Some cups are bells. Some cups are boxes. Conclusion: All boxes are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  28. 28.Statements: No pens are caps. No caps are books. Conclusion: Some books are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  29. 29.Statements: All shoes are toys. Some toys are bags. Conclusion: All shoes are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  30. 30.Statements: No pens are shoes. All pens are balls. Conclusion: All balls are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  31. 31.Statements: All caps are boxes. All caps are balls. Conclusion: No balls are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  32. 32.Statements: All kites are cups. No cups are shoes. Conclusion: No shoes are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  33. 33.Statements: All toys are books. All books are caps. Conclusion: All toys are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  34. 34.Statements: No rings are books. All cups are books. Conclusion: No cups are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  35. 35.Statements: Some books are toys. No toys are bells. Conclusion: All books are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  36. 36.Statements: All cups are bags. Some coins are bags. Conclusion: All coins are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  37. 37.Statements: All bells are boxes. All bags are boxes. Conclusion: No bells are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  38. 38.Statements: All pens are shoes. All pens are rings. Conclusion: All shoes are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  39. 39.Statements: No rings are balls. Some rings are toys. Conclusion: No toys are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  40. 40.Statements: All books are cups. No cups are keys. Conclusion: All books are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No

Answer key

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

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