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Syllogism Worksheet

Logical reasoning lesson 21: Syllogisms · Set 274 · 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: All keys are bells. Some keys are coins. Conclusion: All bells are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  2. 2.Statements: Some caps are books. All caps are kites. Conclusion: All books are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  3. 3.Statements: Some bags are bells. All keys are bells. Conclusion: All bags are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  4. 4.Statements: Some coins are balls. No pens are balls. Conclusion: No coins are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  5. 5.Statements: All keys are balls. No balls are shoes. Conclusion: No keys are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  6. 6.Statements: Some balls are kites. No kites are bells. Conclusion: Some balls are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  7. 7.Statements: Some kites are pens. Some coins are pens. Conclusion: All kites are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  8. 8.Statements: Some keys are toys. All keys are boxes. Conclusion: Some toys are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  9. 9.Statements: All coins are books. Some caps are coins. Conclusion: All books are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  10. 10.Statements: Some shoes are bells. No rings are bells. Conclusion: No rings are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  11. 11.Statements: No bags are balls. No balls are kites. Conclusion: No kites are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  12. 12.Statements: All caps are shoes. No shoes are keys. Conclusion: No keys are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  13. 13.Statements: No cups are kites. Some keys are kites. Conclusion: No keys are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  14. 14.Statements: All coins are toys. All kites are coins. Conclusion: Some toys are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  15. 15.Statements: All keys are books. No kites are books. Conclusion: All keys are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  16. 16.Statements: All coins are balls. No caps are balls. Conclusion: Some coins are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  17. 17.Statements: Some shoes are boxes. No keys are shoes. Conclusion: All boxes are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  18. 18.Statements: Some books are keys. Some bells are books. Conclusion: Some keys are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  19. 19.Statements: All keys are cups. No books are cups. Conclusion: No books are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  20. 20.Statements: No pens are coins. Some keys are coins. Conclusion: Some pens are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  21. 21.Statements: All boxes are pens. All boxes are bells. Conclusion: All pens are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  22. 22.Statements: Some kites are coins. All coins are bells. Conclusion: No bells are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  23. 23.Statements: Some caps are pens. All pens are bags. Conclusion: No bags are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  24. 24.Statements: Some cups are kites. All cups are bags. Conclusion: Some kites are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  25. 25.Statements: Some boxes are toys. No toys are coins. Conclusion: All boxes are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  26. 26.Statements: Some cups are bells. All cups are toys. Conclusion: No toys are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  27. 27.Statements: All toys are kites. No toys are books. Conclusion: No kites are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  28. 28.Statements: No books are toys. Some books are shoes. Conclusion: No shoes are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  29. 29.Statements: No rings are balls. No rings are bells. Conclusion: Some bells are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  30. 30.Statements: All toys are bags. All toys are caps. Conclusion: No bags are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  31. 31.Statements: Some shoes are caps. All shoes are pens. Conclusion: All caps are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  32. 32.Statements: No shoes are caps. All bells are shoes. Conclusion: Some caps are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  33. 33.Statements: All caps are rings. All rings are balls. Conclusion: No balls are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  34. 34.Statements: Some cups are boxes. Some cups are coins. Conclusion: No coins are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  35. 35.Statements: All kites are pens. All kites are cups. Conclusion: Some pens are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  36. 36.Statements: All caps are pens. Some books are caps. Conclusion: Some pens are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  37. 37.Statements: All toys are balls. No toys are pens. Conclusion: All balls are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  38. 38.Statements: Some books are coins. No coins are bags. Conclusion: Some books are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  39. 39.Statements: All balls are caps. All rings are caps. Conclusion: All rings are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  40. 40.Statements: Some rings are keys. No keys are boxes. Conclusion: All rings 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. Yes
  6. No
  7. No
  8. Yes
  9. No
  10. No
  11. No
  12. Yes
  13. No
  14. Yes
  15. No
  16. No
  17. No
  18. No
  19. Yes
  20. No
  21. No
  22. No
  23. No
  24. Yes
  25. No
  26. No
  27. No
  28. No
  29. No
  30. No
  31. No
  32. No
  33. No
  34. No
  35. Yes
  36. Yes
  37. No
  38. No
  39. No
  40. No

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