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Syllogism Worksheet

Logical reasoning lesson 21: Syllogisms · Set 214 · 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 bags are keys. All keys are pens. Conclusion: Some pens are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  2. 2.Statements: Some pens are rings. Some cups are rings. Conclusion: No pens are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  3. 3.Statements: All cups are shoes. Some cups are balls. Conclusion: All shoes are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  4. 4.Statements: All rings are cups. All cups are balls. Conclusion: No balls are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  5. 5.Statements: Some bells are bags. All bells are toys. Conclusion: No toys are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  6. 6.Statements: No boxes are toys. All bags are toys. Conclusion: No bags are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  7. 7.Statements: Some kites are bags. Some toys are bags. Conclusion: No kites are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  8. 8.Statements: Some balls are toys. No toys are coins. Conclusion: No balls are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  9. 9.Statements: All rings are bags. Some cups are rings. Conclusion: No cups are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  10. 10.Statements: No shoes are bags. Some shoes are keys. Conclusion: No bags are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  11. 11.Statements: All rings are shoes. No boxes are shoes. Conclusion: All rings are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  12. 12.Statements: All caps are pens. Some boxes are caps. Conclusion: Some pens are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  13. 13.Statements: Some pens are books. Some caps are books. Conclusion: No pens are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  14. 14.Statements: Some kites are keys. All books are kites. Conclusion: No keys are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  15. 15.Statements: All coins are boxes. No boxes are balls. Conclusion: No coins are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  16. 16.Statements: All bags are coins. All bags are kites. Conclusion: Some coins are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  17. 17.Statements: Some books are pens. Some pens are cups. Conclusion: All cups are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  18. 18.Statements: All shoes are coins. No coins are bags. Conclusion: No shoes are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  19. 19.Statements: All bags are keys. No boxes are bags. Conclusion: Some boxes are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  20. 20.Statements: All balls are shoes. Some kites are balls. Conclusion: Some shoes are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  21. 21.Statements: All caps are pens. All boxes are caps. Conclusion: All boxes are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  22. 22.Statements: All caps are kites. Some caps are books. Conclusion: All books are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  23. 23.Statements: Some shoes are bells. All caps are bells. Conclusion: Some shoes are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  24. 24.Statements: No bags are coins. All balls are bags. Conclusion: No balls are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  25. 25.Statements: No pens are kites. Some kites are rings. Conclusion: All pens are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  26. 26.Statements: All books are shoes. No bells are shoes. Conclusion: Some bells are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  27. 27.Statements: All cups are balls. All cups are coins. Conclusion: Some coins are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  28. 28.Statements: All shoes are caps. No caps are kites. Conclusion: Some shoes are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  29. 29.Statements: All shoes are books. All shoes are caps. Conclusion: No books are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  30. 30.Statements: No pens are boxes. All bags are pens. Conclusion: Some bags are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  31. 31.Statements: No caps are rings. Some shoes are caps. Conclusion: All shoes are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  32. 32.Statements: Some rings are pens. Some keys are rings. Conclusion: All keys are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  33. 33.Statements: Some bags are pens. All pens are caps. Conclusion: All bags are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  34. 34.Statements: All kites are bags. All kites are pens. Conclusion: All bags are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  35. 35.Statements: No toys are books. All books are coins. Conclusion: No toys are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  36. 36.Statements: All boxes are toys. All toys are keys. Conclusion: All boxes are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  37. 37.Statements: Some shoes are boxes. All toys are boxes. Conclusion: Some toys are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  38. 38.Statements: All pens are books. Some pens are bags. Conclusion: All bags are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  39. 39.Statements: No rings are bags. No rings are caps. Conclusion: Some bags are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  40. 40.Statements: Some books are bells. Some books are balls. Conclusion: No bells are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No

Answer key

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

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