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Syllogism Worksheet

Logical reasoning lesson 21: Syllogisms · Set 176 · 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 keys are coins. All coins are rings. Conclusion: Some keys are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  2. 2.Statements: Some pens are rings. No rings are boxes. Conclusion: Some boxes are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  3. 3.Statements: Some toys are balls. No toys are shoes. Conclusion: No shoes are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  4. 4.Statements: All toys are bags. All boxes are toys. Conclusion: Some bags are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  5. 5.Statements: No balls are bags. All balls are pens. Conclusion: All pens are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  6. 6.Statements: Some keys are books. All bags are keys. Conclusion: All books are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  7. 7.Statements: All coins are toys. No coins are pens. Conclusion: No pens are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  8. 8.Statements: No pens are rings. Some rings are shoes. Conclusion: All shoes are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  9. 9.Statements: Some coins are toys. Some coins are bags. Conclusion: Some toys are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  10. 10.Statements: No shoes are pens. Some pens are rings. Conclusion: All shoes are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  11. 11.Statements: All boxes are rings. Some pens are boxes. Conclusion: All pens are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  12. 12.Statements: Some books are bells. All bells are kites. Conclusion: No books are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  13. 13.Statements: Some balls are shoes. All balls are pens. Conclusion: Some pens are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  14. 14.Statements: All toys are bells. Some bells are pens. Conclusion: All pens are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  15. 15.Statements: All bags are boxes. No boxes are books. Conclusion: All books are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  16. 16.Statements: Some keys are coins. All coins are boxes. Conclusion: Some boxes are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  17. 17.Statements: All boxes are toys. Some rings are boxes. Conclusion: All toys are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  18. 18.Statements: Some shoes are bells. All bells are rings. Conclusion: No rings are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  19. 19.Statements: No shoes are balls. All pens are balls. Conclusion: Some shoes are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  20. 20.Statements: All bags are toys. All toys are caps. Conclusion: All bags are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  21. 21.Statements: All toys are shoes. No books are shoes. Conclusion: Some books are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  22. 22.Statements: Some books are boxes. All shoes are books. Conclusion: Some boxes are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  23. 23.Statements: Some rings are kites. No bags are rings. Conclusion: No kites are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  24. 24.Statements: All cups are pens. No boxes are pens. Conclusion: Some cups are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  25. 25.Statements: Some toys are coins. All balls are toys. Conclusion: All coins are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  26. 26.Statements: All coins are caps. Some coins are rings. Conclusion: All rings are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  27. 27.Statements: Some pens are keys. All balls are pens. Conclusion: Some keys are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  28. 28.Statements: All boxes are keys. No keys are kites. Conclusion: Some boxes are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  29. 29.Statements: No kites are keys. No kites are bells. Conclusion: Some bells are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  30. 30.Statements: Some shoes are cups. All bells are cups. Conclusion: All shoes are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  31. 31.Statements: Some books are balls. All rings are books. Conclusion: No rings are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  32. 32.Statements: All boxes are kites. No pens are boxes. Conclusion: All kites are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  33. 33.Statements: No coins are books. All coins are boxes. Conclusion: No books are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  34. 34.Statements: Some caps are cups. All cups are toys. Conclusion: No caps are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  35. 35.Statements: Some caps are cups. All caps are balls. Conclusion: Some balls are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  36. 36.Statements: All rings are coins. All rings are boxes. Conclusion: No boxes are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  37. 37.Statements: All coins are boxes. All keys are coins. Conclusion: Some keys are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  38. 38.Statements: All toys are books. All boxes are books. Conclusion: Some boxes are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  39. 39.Statements: All pens are cups. No cups are balls. Conclusion: All balls are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  40. 40.Statements: All balls are bells. Some balls are shoes. Conclusion: No bells are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No

Answer key

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

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