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Syllogism Worksheet

Logical reasoning lesson 21: Syllogisms · Set 112 · 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 coins are cups. Some bells are coins. Conclusion: Some cups are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  2. 2.Statements: No books are bags. All kites are bags. Conclusion: No books are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  3. 3.Statements: Some cups are bags. All cups are coins. Conclusion: Some bags are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  4. 4.Statements: All coins are rings. No pens are coins. Conclusion: Some rings are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  5. 5.Statements: Some bells are rings. All books are bells. Conclusion: All books are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  6. 6.Statements: No cups are coins. Some cups are keys. Conclusion: Some keys are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  7. 7.Statements: All shoes are bags. Some balls are shoes. Conclusion: Some balls are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  8. 8.Statements: All bags are caps. No caps are books. Conclusion: All books are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  9. 9.Statements: All caps are books. All books are pens. Conclusion: All pens are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  10. 10.Statements: All caps are boxes. All pens are caps. Conclusion: No pens are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  11. 11.Statements: No kites are rings. Some kites are bells. Conclusion: No rings are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  12. 12.Statements: All rings are bags. No rings are shoes. Conclusion: All shoes are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  13. 13.Statements: No keys are coins. No shoes are coins. Conclusion: Some shoes are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  14. 14.Statements: All boxes are rings. All rings are keys. Conclusion: No boxes are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  15. 15.Statements: All kites are cups. All coins are kites. Conclusion: Some cups are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  16. 16.Statements: Some books are bags. No bags are cups. Conclusion: All cups are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  17. 17.Statements: All pens are balls. All balls are bags. Conclusion: Some bags are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  18. 18.Statements: Some coins are boxes. All coins are bells. Conclusion: All bells are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  19. 19.Statements: Some books are boxes. All boxes are shoes. Conclusion: All books are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  20. 20.Statements: Some boxes are toys. All boxes are shoes. Conclusion: Some toys are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  21. 21.Statements: Some rings are bells. All bells are bags. Conclusion: Some bags are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  22. 22.Statements: All coins are books. All bells are coins. Conclusion: Some books are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  23. 23.Statements: All balls are kites. Some books are balls. Conclusion: Some books are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  24. 24.Statements: No bags are keys. Some bags are pens. Conclusion: Some pens are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  25. 25.Statements: All coins are kites. Some coins are rings. Conclusion: No kites are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  26. 26.Statements: All books are balls. All cups are books. Conclusion: All cups are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  27. 27.Statements: No books are kites. Some books are shoes. Conclusion: All kites are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  28. 28.Statements: No books are caps. Some pens are caps. Conclusion: All pens are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  29. 29.Statements: All shoes are toys. All boxes are shoes. Conclusion: No toys are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  30. 30.Statements: No bells are shoes. All boxes are shoes. Conclusion: Some boxes are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  31. 31.Statements: Some bells are cups. All coins are bells. Conclusion: Some coins are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  32. 32.Statements: All books are rings. No coins are rings. Conclusion: Some coins are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  33. 33.Statements: Some cups are boxes. All boxes are kites. Conclusion: All kites are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  34. 34.Statements: Some toys are coins. No toys are pens. Conclusion: No pens are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  35. 35.Statements: Some rings are bells. All books are rings. Conclusion: All bells are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  36. 36.Statements: No pens are kites. Some boxes are pens. Conclusion: Some boxes are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  37. 37.Statements: Some caps are pens. All caps are toys. Conclusion: Some toys are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  38. 38.Statements: Some books are balls. All balls are cups. Conclusion: Some cups are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  39. 39.Statements: All boxes are balls. Some boxes are coins. Conclusion: Some coins are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  40. 40.Statements: Some balls are books. All books are bags. Conclusion: Some bags are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No

Answer key

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

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