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Syllogism Worksheet

Logical reasoning lesson 21: Syllogisms · Set 246 · 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 bags are books. No coins are bags. Conclusion: All coins are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  2. 2.Statements: No boxes are coins. No shoes are boxes. Conclusion: Some shoes are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  3. 3.Statements: All cups are kites. Some boxes are cups. Conclusion: No kites are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  4. 4.Statements: No cups are boxes. No shoes are cups. Conclusion: Some boxes are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  5. 5.Statements: All boxes are books. Some pens are boxes. Conclusion: No books are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  6. 6.Statements: All caps are keys. All caps are toys. Conclusion: Some keys are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  7. 7.Statements: No bells are books. No bells are pens. Conclusion: All books are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  8. 8.Statements: All caps are balls. No kites are balls. Conclusion: No caps are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  9. 9.Statements: No pens are toys. All balls are toys. Conclusion: No balls are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  10. 10.Statements: Some cups are boxes. All cups are caps. Conclusion: All boxes are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  11. 11.Statements: Some bags are coins. All bags are pens. Conclusion: Some pens are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  12. 12.Statements: All rings are balls. Some rings are bells. Conclusion: All bells are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  13. 13.Statements: All toys are rings. No bells are toys. Conclusion: No rings are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  14. 14.Statements: Some toys are shoes. Some toys are caps. Conclusion: Some caps are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  15. 15.Statements: All bags are balls. All bags are pens. Conclusion: Some balls are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  16. 16.Statements: All coins are books. Some coins are bells. Conclusion: No bells are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  17. 17.Statements: Some rings are books. All books are keys. Conclusion: Some rings are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  18. 18.Statements: No boxes are bells. All caps are boxes. Conclusion: No bells are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  19. 19.Statements: All keys are books. No toys are keys. Conclusion: Some toys are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  20. 20.Statements: No pens are kites. All caps are kites. Conclusion: No caps are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  21. 21.Statements: All toys are bells. Some bells are keys. Conclusion: All toys are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  22. 22.Statements: All books are shoes. All shoes are kites. Conclusion: All kites are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  23. 23.Statements: All coins are bells. Some coins are pens. Conclusion: Some pens are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  24. 24.Statements: All cups are pens. All shoes are cups. Conclusion: All shoes are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  25. 25.Statements: No kites are pens. All boxes are kites. Conclusion: No boxes are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  26. 26.Statements: No caps are bells. Some bells are pens. Conclusion: All pens are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  27. 27.Statements: Some rings are bells. No bells are pens. Conclusion: No rings are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  28. 28.Statements: All bells are cups. No coins are bells. Conclusion: All coins are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  29. 29.Statements: All balls are books. All shoes are balls. Conclusion: All shoes are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  30. 30.Statements: All bells are cups. All boxes are cups. Conclusion: All bells are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  31. 31.Statements: All coins are caps. No coins are bells. Conclusion: No caps are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  32. 32.Statements: All bells are balls. Some bells are pens. Conclusion: No balls are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  33. 33.Statements: Some kites are bells. All caps are kites. Conclusion: No bells are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  34. 34.Statements: Some kites are caps. Some kites are bags. Conclusion: Some bags are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  35. 35.Statements: All shoes are coins. Some shoes are caps. Conclusion: All coins are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  36. 36.Statements: All boxes are books. Some caps are books. Conclusion: No caps are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  37. 37.Statements: All shoes are pens. All shoes are coins. Conclusion: Some pens are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  38. 38.Statements: All books are balls. All balls are shoes. Conclusion: All books are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  39. 39.Statements: Some cups are bells. All bells are books. Conclusion: All cups are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  40. 40.Statements: All pens are keys. All balls are keys. Conclusion: Some balls are pens. 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. Yes
  9. Yes
  10. No
  11. Yes
  12. No
  13. No
  14. No
  15. Yes
  16. No
  17. Yes
  18. Yes
  19. No
  20. Yes
  21. No
  22. No
  23. Yes
  24. Yes
  25. Yes
  26. No
  27. No
  28. No
  29. Yes
  30. No
  31. No
  32. No
  33. No
  34. No
  35. No
  36. No
  37. Yes
  38. Yes
  39. No
  40. No

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