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Syllogism Worksheet

Logical reasoning lesson 21: Syllogisms · Set 62 · 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 pens are keys. No books are keys. Conclusion: All pens are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  2. 2.Statements: All bells are shoes. All boxes are bells. Conclusion: No shoes are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  3. 3.Statements: All balls are books. Some books are kites. Conclusion: No kites are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  4. 4.Statements: Some boxes are cups. All cups are books. Conclusion: All boxes are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  5. 5.Statements: All caps are balls. All caps are cups. Conclusion: Some cups are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  6. 6.Statements: All boxes are bags. No pens are bags. Conclusion: No boxes are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  7. 7.Statements: All caps are pens. All caps are kites. Conclusion: All pens are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  8. 8.Statements: No rings are bags. All keys are rings. Conclusion: All keys are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  9. 9.Statements: No coins are cups. No balls are coins. Conclusion: All cups are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  10. 10.Statements: All shoes are toys. All toys are bells. Conclusion: Some bells are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  11. 11.Statements: Some shoes are pens. No shoes are rings. Conclusion: All rings are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  12. 12.Statements: All keys are toys. No toys are bells. Conclusion: All bells are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  13. 13.Statements: All boxes are bells. All boxes are books. Conclusion: Some bells are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  14. 14.Statements: All keys are bags. All bags are kites. Conclusion: All kites are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  15. 15.Statements: All pens are books. Some bells are books. Conclusion: All pens are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  16. 16.Statements: Some bags are keys. No bags are coins. Conclusion: No coins are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  17. 17.Statements: All keys are balls. All balls are rings. Conclusion: All rings are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  18. 18.Statements: Some coins are boxes. Some shoes are boxes. Conclusion: All coins are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  19. 19.Statements: All keys are coins. Some keys are books. Conclusion: All books are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  20. 20.Statements: No shoes are kites. Some rings are shoes. Conclusion: All rings are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  21. 21.Statements: All bags are cups. Some cups are toys. Conclusion: Some bags are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  22. 22.Statements: No bells are balls. All caps are bells. Conclusion: All caps are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  23. 23.Statements: All bags are toys. No toys are cups. Conclusion: No bags are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  24. 24.Statements: Some pens are keys. No pens are bells. Conclusion: Some keys are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  25. 25.Statements: All shoes are books. All books are caps. Conclusion: All shoes are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  26. 26.Statements: No coins are bags. All books are bags. Conclusion: All books are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  27. 27.Statements: All balls are shoes. Some toys are balls. Conclusion: Some toys are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  28. 28.Statements: Some bells are toys. No keys are bells. Conclusion: Some keys are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  29. 29.Statements: Some boxes are bags. No keys are boxes. Conclusion: All keys are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  30. 30.Statements: All pens are coins. Some bells are coins. Conclusion: No pens are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  31. 31.Statements: Some balls are caps. No balls are kites. Conclusion: Some caps are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  32. 32.Statements: All boxes are rings. No boxes are pens. Conclusion: No pens are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  33. 33.Statements: No coins are rings. Some books are coins. Conclusion: All books are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  34. 34.Statements: All cups are shoes. Some toys are shoes. Conclusion: No toys are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  35. 35.Statements: All books are shoes. No books are coins. Conclusion: All shoes are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  36. 36.Statements: Some boxes are keys. All keys are kites. Conclusion: Some kites are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  37. 37.Statements: All kites are books. All books are keys. Conclusion: Some kites are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  38. 38.Statements: Some shoes are books. Some bags are shoes. Conclusion: All bags are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  39. 39.Statements: All balls are boxes. No balls are books. Conclusion: Some boxes are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  40. 40.Statements: Some bags are toys. Some pens are bags. Conclusion: Some toys are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No

Answer key

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

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