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Syllogism Worksheet

Logical reasoning lesson 21: Syllogisms · Set 208 · 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 toys. Some coins are toys. Conclusion: All coins are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  2. 2.Statements: All coins are shoes. All coins are balls. Conclusion: Some balls are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  3. 3.Statements: All pens are kites. No pens are caps. Conclusion: All kites are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  4. 4.Statements: All bags are balls. All bags are bells. Conclusion: Some bells are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  5. 5.Statements: All shoes are balls. Some bags are shoes. Conclusion: Some bags are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  6. 6.Statements: All shoes are coins. All shoes are balls. Conclusion: No coins are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  7. 7.Statements: Some shoes are books. All caps are books. Conclusion: Some caps are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  8. 8.Statements: No toys are bags. All bags are coins. Conclusion: Some toys are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  9. 9.Statements: No bells are pens. Some coins are bells. Conclusion: All coins are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  10. 10.Statements: All bells are keys. Some coins are bells. Conclusion: Some keys are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  11. 11.Statements: All bells are shoes. All bells are caps. Conclusion: Some shoes are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  12. 12.Statements: All books are balls. Some balls are bells. Conclusion: All bells are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  13. 13.Statements: All coins are keys. All keys are kites. Conclusion: No kites are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  14. 14.Statements: All kites are rings. Some kites are keys. Conclusion: Some rings are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  15. 15.Statements: Some bells are boxes. Some bells are kites. Conclusion: Some boxes are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  16. 16.Statements: All caps are kites. No kites are bags. Conclusion: No caps are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  17. 17.Statements: Some boxes are bags. Some rings are bags. Conclusion: No boxes are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  18. 18.Statements: No books are boxes. Some coins are boxes. Conclusion: No books are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  19. 19.Statements: Some shoes are balls. No balls are keys. Conclusion: Some shoes are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  20. 20.Statements: Some coins are boxes. No boxes are rings. Conclusion: Some rings are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  21. 21.Statements: All kites are bags. All bags are books. Conclusion: Some books are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  22. 22.Statements: All shoes are pens. Some shoes are toys. Conclusion: No toys are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  23. 23.Statements: All boxes are books. All shoes are boxes. Conclusion: No books are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  24. 24.Statements: All keys are bells. All boxes are keys. Conclusion: No bells are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  25. 25.Statements: All toys are pens. No pens are balls. Conclusion: No toys are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  26. 26.Statements: No balls are bags. Some rings are balls. Conclusion: All rings are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  27. 27.Statements: Some keys are boxes. No pens are boxes. Conclusion: All pens are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  28. 28.Statements: All caps are bags. All bags are shoes. Conclusion: Some shoes are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  29. 29.Statements: All books are coins. Some bells are books. Conclusion: Some bells are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  30. 30.Statements: Some boxes are keys. Some caps are boxes. Conclusion: Some caps are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  31. 31.Statements: Some keys are bells. No keys are books. Conclusion: All books are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  32. 32.Statements: No shoes are toys. Some toys are bells. Conclusion: Some bells are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  33. 33.Statements: All boxes are cups. All boxes are coins. Conclusion: No cups are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  34. 34.Statements: No toys are rings. All keys are toys. Conclusion: No keys are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  35. 35.Statements: Some coins are rings. No coins are bags. Conclusion: No bags are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  36. 36.Statements: Some books are cups. Some cups are rings. Conclusion: All books are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  37. 37.Statements: All rings are bags. Some bags are bells. Conclusion: Some bells are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  38. 38.Statements: All cups are shoes. All cups are rings. Conclusion: No rings are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  39. 39.Statements: All shoes are kites. Some shoes are bags. Conclusion: No bags are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  40. 40.Statements: All bells are rings. No bags are rings. Conclusion: No bags are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No

Answer key

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

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