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Syllogism Worksheet

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

Answer key

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

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