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Syllogism Worksheet

Logical reasoning lesson 21: Syllogisms · Set 222 · 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 bells are coins. All coins are pens. Conclusion: All pens are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  2. 2.Statements: Some caps are bells. All bells are bags. Conclusion: Some caps are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  3. 3.Statements: All keys are caps. No toys are keys. Conclusion: All caps are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  4. 4.Statements: All bells are cups. All pens are cups. Conclusion: No bells are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  5. 5.Statements: Some kites are shoes. All kites are coins. Conclusion: Some coins are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  6. 6.Statements: All cups are bells. Some shoes are cups. Conclusion: Some bells are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  7. 7.Statements: No shoes are toys. Some shoes are coins. Conclusion: All coins are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  8. 8.Statements: All boxes are cups. All cups are toys. Conclusion: All toys are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  9. 9.Statements: All coins are rings. No rings are bells. Conclusion: No bells are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  10. 10.Statements: Some balls are boxes. No shoes are boxes. Conclusion: All shoes are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  11. 11.Statements: All rings are coins. Some coins are caps. Conclusion: All rings are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  12. 12.Statements: Some toys are shoes. Some cups are toys. Conclusion: No shoes are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  13. 13.Statements: No bags are toys. Some coins are bags. Conclusion: All toys are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  14. 14.Statements: All pens are rings. Some rings are cups. Conclusion: All pens are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  15. 15.Statements: Some books are pens. All books are coins. Conclusion: Some pens are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  16. 16.Statements: All books are keys. Some caps are books. Conclusion: All keys are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  17. 17.Statements: All books are pens. No shoes are pens. Conclusion: All books are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  18. 18.Statements: No coins are rings. No caps are coins. Conclusion: No rings are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  19. 19.Statements: Some keys are caps. No pens are caps. Conclusion: No pens are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  20. 20.Statements: All caps are shoes. No shoes are toys. Conclusion: No caps are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  21. 21.Statements: All coins are rings. Some keys are rings. Conclusion: No keys are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  22. 22.Statements: No shoes are kites. All books are shoes. Conclusion: Some books are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  23. 23.Statements: All caps are books. All cups are books. Conclusion: No cups are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  24. 24.Statements: All cups are balls. All balls are boxes. Conclusion: Some boxes are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  25. 25.Statements: Some toys are books. Some kites are toys. Conclusion: All books are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  26. 26.Statements: Some kites are rings. Some keys are kites. Conclusion: All rings are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  27. 27.Statements: Some toys are kites. No balls are toys. Conclusion: Some kites are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  28. 28.Statements: All toys are books. All toys are bells. Conclusion: Some books are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  29. 29.Statements: Some shoes are coins. Some kites are shoes. Conclusion: No kites are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  30. 30.Statements: Some books are bells. All bells are cups. Conclusion: All cups are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  31. 31.Statements: Some boxes are shoes. All boxes are coins. Conclusion: Some coins are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  32. 32.Statements: All balls are rings. No pens are balls. Conclusion: All rings are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  33. 33.Statements: All bags are balls. No balls are boxes. Conclusion: All bags are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  34. 34.Statements: Some books are shoes. No books are bags. Conclusion: No shoes are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  35. 35.Statements: All rings are coins. 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 pens are books. Some books are bags. Conclusion: Some bags are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  37. 37.Statements: All bells are cups. No rings are cups. Conclusion: No bells are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  38. 38.Statements: Some toys are pens. No pens are coins. Conclusion: All toys are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  39. 39.Statements: No pens are keys. Some caps are pens. Conclusion: All caps are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  40. 40.Statements: No caps are boxes. All cups are caps. Conclusion: All boxes are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No

Answer key

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

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