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Syllogism Worksheet

Logical reasoning lesson 21: Syllogisms · Set 191 · 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 coins are keys. Some kites are coins. Conclusion: All keys are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  2. 2.Statements: No rings are bags. Some rings are toys. Conclusion: No toys are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  3. 3.Statements: Some bags are cups. Some books are cups. Conclusion: All bags are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  4. 4.Statements: All bells are bags. No toys are bells. Conclusion: Some bags are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  5. 5.Statements: All balls are bags. No bags are rings. Conclusion: All rings are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  6. 6.Statements: No pens are balls. All boxes are balls. Conclusion: No pens are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  7. 7.Statements: Some balls are toys. No toys are books. Conclusion: No balls are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  8. 8.Statements: No caps are books. No kites are caps. Conclusion: All books are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  9. 9.Statements: All pens are rings. Some rings are coins. Conclusion: All coins are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  10. 10.Statements: All caps are boxes. All caps are keys. Conclusion: All boxes are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  11. 11.Statements: Some toys are coins. All shoes are coins. Conclusion: No shoes are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  12. 12.Statements: Some keys are shoes. No shoes are boxes. Conclusion: All keys are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  13. 13.Statements: Some bells are caps. All bells are toys. Conclusion: Some caps are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  14. 14.Statements: All bags are balls. Some cups are bags. Conclusion: No balls are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  15. 15.Statements: No balls are caps. No rings are balls. Conclusion: Some caps are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  16. 16.Statements: No balls are keys. All pens are keys. Conclusion: No balls are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  17. 17.Statements: All coins are caps. All pens are caps. Conclusion: No coins are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  18. 18.Statements: All keys are rings. No rings are toys. Conclusion: No toys are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  19. 19.Statements: All caps are bags. No caps are books. Conclusion: No books are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  20. 20.Statements: No toys are bags. No caps are toys. Conclusion: All bags are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  21. 21.Statements: Some rings are toys. All rings are bells. Conclusion: All toys are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  22. 22.Statements: No books are kites. All boxes are books. Conclusion: No kites are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  23. 23.Statements: No pens are balls. All caps are pens. Conclusion: No caps are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  24. 24.Statements: All pens are caps. All bells are caps. Conclusion: All pens are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  25. 25.Statements: Some boxes are coins. All boxes are books. Conclusion: Some coins are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  26. 26.Statements: All keys are boxes. No boxes are kites. Conclusion: Some keys are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  27. 27.Statements: No shoes are pens. All books are pens. Conclusion: Some books are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  28. 28.Statements: All books are coins. No cups are books. Conclusion: All cups are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  29. 29.Statements: Some books are shoes. All shoes are pens. Conclusion: No pens are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  30. 30.Statements: All balls are boxes. Some boxes are cups. Conclusion: No cups are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  31. 31.Statements: No balls are toys. All pens are toys. Conclusion: No pens are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  32. 32.Statements: Some bags are toys. No bags are books. Conclusion: No toys are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  33. 33.Statements: No boxes are rings. Some bags are rings. Conclusion: No boxes are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  34. 34.Statements: All bags are cups. No cups are keys. Conclusion: No keys are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  35. 35.Statements: Some kites are shoes. No kites are rings. Conclusion: All rings are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  36. 36.Statements: No caps are balls. No bells are caps. Conclusion: All bells are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  37. 37.Statements: All boxes are pens. All boxes are balls. Conclusion: Some balls are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  38. 38.Statements: All toys are caps. Some toys are books. Conclusion: All books are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  39. 39.Statements: Some cups are boxes. No cups are toys. Conclusion: Some toys are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  40. 40.Statements: All boxes are caps. All caps are bags. Conclusion: Some bags are boxes. 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. Yes
  7. No
  8. No
  9. No
  10. No
  11. No
  12. No
  13. Yes
  14. No
  15. No
  16. Yes
  17. No
  18. Yes
  19. No
  20. No
  21. No
  22. Yes
  23. Yes
  24. No
  25. Yes
  26. No
  27. No
  28. No
  29. No
  30. No
  31. Yes
  32. No
  33. No
  34. Yes
  35. No
  36. No
  37. Yes
  38. No
  39. No
  40. Yes

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