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Syllogism Worksheet

Logical reasoning lesson 21: Syllogisms · Set 371 · 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: No books are rings. Some keys are rings. Conclusion: No keys are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  2. 2.Statements: No toys are pens. Some pens are rings. Conclusion: No toys are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  3. 3.Statements: Some balls are bells. No toys are bells. Conclusion: All balls are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  4. 4.Statements: No kites are bells. Some kites are boxes. Conclusion: No boxes are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  5. 5.Statements: No rings are books. All coins are rings. Conclusion: All books are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  6. 6.Statements: All boxes are shoes. Some boxes are cups. Conclusion: All shoes are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  7. 7.Statements: No boxes are coins. No boxes are cups. Conclusion: Some coins are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  8. 8.Statements: Some kites are pens. No bells are pens. Conclusion: Some kites are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  9. 9.Statements: All cups are bags. All cups are balls. Conclusion: Some balls are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  10. 10.Statements: Some pens are bags. No bags are cups. Conclusion: No cups are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  11. 11.Statements: No cups are toys. No cups are bells. Conclusion: No bells are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  12. 12.Statements: Some keys are bags. All bags are rings. Conclusion: Some keys are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  13. 13.Statements: Some boxes are coins. Some coins are bags. Conclusion: Some bags are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  14. 14.Statements: All cups are bags. Some caps are bags. Conclusion: No cups are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  15. 15.Statements: All shoes are keys. All keys are books. Conclusion: No shoes are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  16. 16.Statements: No coins are caps. No coins are rings. Conclusion: All caps are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  17. 17.Statements: All books are coins. No coins are pens. Conclusion: No pens are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  18. 18.Statements: Some bags are kites. Some kites are rings. Conclusion: No bags are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  19. 19.Statements: No rings are pens. All caps are rings. Conclusion: No caps are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  20. 20.Statements: All balls are bells. All kites are balls. Conclusion: Some kites are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  21. 21.Statements: All bells are balls. No boxes are balls. Conclusion: All boxes are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  22. 22.Statements: Some caps are cups. All keys are cups. Conclusion: No keys are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  23. 23.Statements: No shoes are toys. No toys are balls. Conclusion: All shoes are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  24. 24.Statements: All toys are coins. No coins are rings. Conclusion: All rings are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  25. 25.Statements: No bags are rings. No books are bags. Conclusion: No books are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  26. 26.Statements: All shoes are caps. Some caps are bags. Conclusion: Some bags are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  27. 27.Statements: No rings are pens. All kites are rings. Conclusion: No kites are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  28. 28.Statements: No caps are rings. All shoes are rings. Conclusion: No caps are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  29. 29.Statements: Some books are bags. All kites are books. Conclusion: No bags are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  30. 30.Statements: All caps are boxes. Some bells are caps. Conclusion: All boxes are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  31. 31.Statements: All rings are coins. Some rings are shoes. Conclusion: Some shoes are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  32. 32.Statements: No pens are bags. All rings are pens. Conclusion: No bags are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  33. 33.Statements: Some kites are coins. Some keys are kites. Conclusion: All keys are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  34. 34.Statements: No shoes are bells. No bells are keys. Conclusion: Some keys are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  35. 35.Statements: No books are pens. All cups are pens. Conclusion: No cups are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  36. 36.Statements: All bells are kites. Some keys are bells. Conclusion: All keys are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  37. 37.Statements: No shoes are kites. All kites are bags. Conclusion: All bags are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  38. 38.Statements: All caps are keys. All caps are bags. Conclusion: All bags are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  39. 39.Statements: Some shoes are balls. Some balls are books. Conclusion: No books are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  40. 40.Statements: No bags are books. All pens are bags. Conclusion: No pens are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No

Answer key

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

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