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Syllogism Worksheet

Logical reasoning lesson 21: Syllogisms · Set 382 · 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 bells are shoes. No shoes are balls. Conclusion: No bells are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  2. 2.Statements: All pens are toys. Some pens are boxes. Conclusion: No boxes are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  3. 3.Statements: All balls are cups. No cups are caps. Conclusion: All balls are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  4. 4.Statements: No keys are kites. All books are keys. Conclusion: No kites are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  5. 5.Statements: No shoes are bags. No cups are shoes. Conclusion: All bags are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  6. 6.Statements: All coins are balls. Some balls are cups. Conclusion: All coins are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  7. 7.Statements: All kites are cups. All kites are boxes. Conclusion: No boxes are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  8. 8.Statements: Some pens are bags. Some kites are bags. Conclusion: No kites are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  9. 9.Statements: No coins are bags. All books are coins. Conclusion: All books are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  10. 10.Statements: Some cups are rings. No balls are cups. Conclusion: No balls are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  11. 11.Statements: All caps are books. All caps are balls. Conclusion: No books are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  12. 12.Statements: All kites are books. Some kites are cups. Conclusion: No cups are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  13. 13.Statements: All bells are rings. All bells are pens. Conclusion: All pens are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  14. 14.Statements: Some shoes are boxes. No kites are shoes. Conclusion: Some kites are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  15. 15.Statements: All pens are kites. All pens are rings. Conclusion: Some kites are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  16. 16.Statements: All coins are bells. All bells are kites. Conclusion: Some coins are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  17. 17.Statements: Some books are rings. No shoes are rings. Conclusion: Some shoes are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  18. 18.Statements: Some caps are books. All caps are bells. Conclusion: All books are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  19. 19.Statements: All bags are boxes. Some kites are bags. Conclusion: Some boxes are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  20. 20.Statements: All shoes are balls. Some keys are balls. Conclusion: No shoes are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  21. 21.Statements: All caps are pens. All caps are cups. Conclusion: Some pens are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  22. 22.Statements: Some balls are pens. All pens are caps. Conclusion: Some balls are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  23. 23.Statements: All kites are bags. No caps are kites. Conclusion: Some bags are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  24. 24.Statements: Some caps are shoes. Some toys are shoes. Conclusion: Some caps are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  25. 25.Statements: All toys are bells. Some bells are pens. Conclusion: All toys are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  26. 26.Statements: All keys are pens. Some shoes are keys. Conclusion: Some shoes are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  27. 27.Statements: All kites are keys. Some kites are shoes. Conclusion: Some keys are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  28. 28.Statements: All boxes are balls. No balls are toys. Conclusion: All boxes are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  29. 29.Statements: All bags are shoes. Some bags are coins. Conclusion: No shoes are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  30. 30.Statements: All keys are boxes. No cups are keys. Conclusion: All boxes are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  31. 31.Statements: All toys are keys. Some toys are rings. Conclusion: All keys are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  32. 32.Statements: Some bags are books. Some cups are books. Conclusion: All bags are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  33. 33.Statements: Some shoes are kites. No books are kites. Conclusion: No shoes are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  34. 34.Statements: All shoes are toys. Some toys are balls. Conclusion: All shoes are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  35. 35.Statements: Some bags are cups. All cups are rings. Conclusion: All bags are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  36. 36.Statements: No kites are books. Some keys are books. Conclusion: All keys are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  37. 37.Statements: All bags are kites. No kites are bells. Conclusion: All bells are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  38. 38.Statements: All pens are boxes. All cups are boxes. Conclusion: No cups are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  39. 39.Statements: Some caps are rings. All rings are cups. Conclusion: Some cups are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  40. 40.Statements: No books are balls. Some books are toys. Conclusion: Some balls are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No

Answer key

  1. Yes
  2. No
  3. No
  4. Yes
  5. No
  6. No
  7. No
  8. No
  9. No
  10. No
  11. No
  12. No
  13. No
  14. No
  15. Yes
  16. Yes
  17. No
  18. No
  19. Yes
  20. No
  21. Yes
  22. Yes
  23. No
  24. No
  25. No
  26. Yes
  27. Yes
  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. No

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