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Syllogism Worksheet

Logical reasoning lesson 21: Syllogisms · Set 109 · 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 keys are books. All books are shoes. Conclusion: Some shoes are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  2. 2.Statements: All caps are coins. Some caps are bags. Conclusion: No bags are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  3. 3.Statements: All books are boxes. No pens are books. Conclusion: All boxes are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  4. 4.Statements: All coins are boxes. All shoes are coins. Conclusion: All shoes are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  5. 5.Statements: All coins are boxes. Some boxes are books. Conclusion: No coins are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  6. 6.Statements: All bags are shoes. Some bags are books. Conclusion: All books are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  7. 7.Statements: All books are pens. No boxes are pens. Conclusion: Some boxes are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  8. 8.Statements: All coins are books. All coins are pens. Conclusion: Some books are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  9. 9.Statements: All kites are balls. All balls are bags. Conclusion: Some bags are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  10. 10.Statements: No bells are bags. Some bells are balls. Conclusion: All bags are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  11. 11.Statements: All kites are toys. No toys are bags. Conclusion: No bags are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  12. 12.Statements: Some caps are rings. All caps are boxes. Conclusion: Some boxes are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  13. 13.Statements: No coins are rings. All caps are coins. Conclusion: No rings are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  14. 14.Statements: No cups are caps. All toys are cups. Conclusion: All caps are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  15. 15.Statements: All balls are keys. Some keys are boxes. Conclusion: No boxes are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  16. 16.Statements: No coins are books. Some books are shoes. Conclusion: No coins are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  17. 17.Statements: Some bags are rings. All bags are boxes. Conclusion: No rings are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  18. 18.Statements: All balls are boxes. Some bags are boxes. Conclusion: All balls are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  19. 19.Statements: No shoes are pens. Some balls are shoes. Conclusion: No pens are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  20. 20.Statements: All pens are rings. No rings are cups. Conclusion: All pens are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  21. 21.Statements: Some cups are shoes. Some keys are cups. Conclusion: Some keys are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  22. 22.Statements: All books are coins. Some cups are coins. Conclusion: All books are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  23. 23.Statements: All pens are books. Some caps are books. Conclusion: All pens are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  24. 24.Statements: Some boxes are keys. All toys are keys. Conclusion: All toys are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  25. 25.Statements: All bags are books. All boxes are bags. Conclusion: Some books are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  26. 26.Statements: All books are caps. No caps are balls. Conclusion: No books are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  27. 27.Statements: All coins are toys. No toys are bells. Conclusion: No coins are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  28. 28.Statements: No balls are kites. All kites are bells. Conclusion: All bells are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  29. 29.Statements: Some shoes are toys. All toys are coins. Conclusion: Some shoes are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  30. 30.Statements: All bells are pens. All pens are rings. Conclusion: All bells are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  31. 31.Statements: All books are bells. No rings are bells. Conclusion: Some rings are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  32. 32.Statements: All toys are books. Some boxes are toys. Conclusion: No boxes are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  33. 33.Statements: All coins are balls. Some balls are pens. Conclusion: All coins are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  34. 34.Statements: No rings are cups. No rings are pens. Conclusion: Some cups are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  35. 35.Statements: All shoes are coins. Some boxes are shoes. Conclusion: Some boxes are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  36. 36.Statements: Some balls are toys. All toys are pens. Conclusion: Some pens are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  37. 37.Statements: Some caps are kites. All kites are bells. Conclusion: Some caps are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  38. 38.Statements: All toys are boxes. Some toys are pens. Conclusion: Some boxes are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  39. 39.Statements: No kites are coins. No kites are pens. Conclusion: All pens are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  40. 40.Statements: Some kites are shoes. All shoes are rings. Conclusion: No rings are kites. 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. Yes
  9. Yes
  10. No
  11. Yes
  12. Yes
  13. Yes
  14. No
  15. No
  16. No
  17. No
  18. No
  19. No
  20. No
  21. No
  22. No
  23. No
  24. No
  25. Yes
  26. Yes
  27. Yes
  28. No
  29. Yes
  30. Yes
  31. No
  32. No
  33. No
  34. No
  35. Yes
  36. Yes
  37. Yes
  38. Yes
  39. No
  40. No

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