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Syllogism Worksheet

Logical reasoning lesson 21: Syllogisms · Set 88 · 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 boxes are cups. All boxes are kites. Conclusion: Some cups are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  2. 2.Statements: All caps are toys. All keys are caps. Conclusion: No keys are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  3. 3.Statements: All bells are balls. All bells are rings. Conclusion: Some rings are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  4. 4.Statements: All boxes are bags. Some kites are boxes. Conclusion: Some bags are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  5. 5.Statements: All bells are cups. No cups are coins. Conclusion: No bells are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  6. 6.Statements: All boxes are cups. All cups are pens. Conclusion: All pens are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  7. 7.Statements: No bags are cups. No bags are rings. Conclusion: All rings are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  8. 8.Statements: Some toys are kites. No toys are pens. Conclusion: Some kites are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  9. 9.Statements: No keys are bags. All toys are keys. Conclusion: No bags are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  10. 10.Statements: All pens are books. No pens are shoes. Conclusion: All shoes are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  11. 11.Statements: All toys are balls. Some balls are coins. Conclusion: All coins are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  12. 12.Statements: All pens are boxes. Some toys are boxes. Conclusion: Some pens are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  13. 13.Statements: All rings are bags. No coins are bags. Conclusion: No coins are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  14. 14.Statements: Some balls are boxes. Some bells are boxes. Conclusion: All bells are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  15. 15.Statements: Some books are balls. No balls are rings. Conclusion: No rings are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  16. 16.Statements: All bells are keys. No keys are boxes. Conclusion: No bells are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  17. 17.Statements: No coins are bells. No bells are keys. Conclusion: No keys are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  18. 18.Statements: Some bags are kites. No kites are caps. Conclusion: All bags are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  19. 19.Statements: All rings are books. Some boxes are rings. Conclusion: Some boxes are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  20. 20.Statements: No toys are books. All boxes are books. Conclusion: Some toys are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  21. 21.Statements: No kites are pens. No shoes are pens. Conclusion: No kites are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  22. 22.Statements: Some rings are kites. No keys are kites. Conclusion: All rings are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  23. 23.Statements: All keys are rings. Some books are keys. Conclusion: Some rings are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  24. 24.Statements: No keys are rings. Some bags are keys. Conclusion: All rings are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  25. 25.Statements: All pens are shoes. Some bells are pens. Conclusion: No shoes are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  26. 26.Statements: No cups are books. All caps are books. Conclusion: No caps are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  27. 27.Statements: All books are boxes. Some books are cups. Conclusion: No cups are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  28. 28.Statements: All bells are bags. All bags are rings. Conclusion: No bells are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  29. 29.Statements: No kites are toys. All kites are coins. Conclusion: No toys are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  30. 30.Statements: All kites are shoes. No kites are bells. Conclusion: All shoes are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  31. 31.Statements: No keys are books. No books are toys. Conclusion: All keys are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  32. 32.Statements: Some balls are cups. All books are balls. Conclusion: Some books are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  33. 33.Statements: All bells are boxes. No shoes are boxes. Conclusion: All shoes are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  34. 34.Statements: All cups are kites. All kites are bags. Conclusion: Some cups are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  35. 35.Statements: All boxes are books. Some boxes are balls. Conclusion: All balls are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  36. 36.Statements: Some bells are toys. No balls are toys. Conclusion: No balls are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  37. 37.Statements: No toys are keys. All keys are coins. Conclusion: No toys are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  38. 38.Statements: All toys are bells. All books are toys. Conclusion: All books are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  39. 39.Statements: Some toys are coins. All kites are coins. Conclusion: No toys are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  40. 40.Statements: All rings are pens. No rings are books. Conclusion: No pens are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No

Answer key

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

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