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Syllogism Worksheet

Logical reasoning lesson 21: Syllogisms · Set 1 · 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 boxes are bells. No cups are bells. Conclusion: All cups are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  2. 2.Statements: All pens are coins. Some bells are pens. Conclusion: No coins are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  3. 3.Statements: All shoes are balls. All shoes are books. Conclusion: Some books are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  4. 4.Statements: All bags are books. All caps are books. Conclusion: Some bags are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  5. 5.Statements: All bells are rings. Some bells are bags. Conclusion: Some bags are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  6. 6.Statements: All caps are pens. All rings are pens. Conclusion: All caps are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  7. 7.Statements: No caps are boxes. No boxes are shoes. Conclusion: No caps are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  8. 8.Statements: All kites are bells. All kites are shoes. Conclusion: Some bells are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  9. 9.Statements: No toys are books. Some bells are books. Conclusion: Some bells are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  10. 10.Statements: No kites are boxes. All kites are bells. Conclusion: No boxes are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  11. 11.Statements: All rings are boxes. All rings are bags. Conclusion: Some boxes are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  12. 12.Statements: Some shoes are keys. Some boxes are keys. Conclusion: No shoes are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  13. 13.Statements: No cups are keys. All keys are balls. Conclusion: All cups are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  14. 14.Statements: Some boxes are coins. No cups are coins. Conclusion: No cups are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  15. 15.Statements: Some bells are kites. Some keys are bells. Conclusion: No kites are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  16. 16.Statements: Some boxes are coins. All bells are coins. Conclusion: All boxes are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  17. 17.Statements: All cups are toys. No coins are cups. Conclusion: All toys are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  18. 18.Statements: Some shoes are keys. No cups are shoes. Conclusion: All cups are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  19. 19.Statements: All pens are cups. Some pens are bells. Conclusion: No bells are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  20. 20.Statements: No rings are bells. All boxes are bells. Conclusion: All boxes are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  21. 21.Statements: All bags are bells. All pens are bags. Conclusion: All pens are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  22. 22.Statements: All coins are rings. All books are rings. Conclusion: No books are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  23. 23.Statements: All rings are cups. No cups are toys. Conclusion: All rings are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  24. 24.Statements: All kites are balls. All balls are coins. Conclusion: No coins are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  25. 25.Statements: No boxes are bags. No bags are toys. Conclusion: No toys are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  26. 26.Statements: Some cups are bells. All bells are bags. Conclusion: All bags are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  27. 27.Statements: No boxes are books. All boxes are coins. Conclusion: Some books are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  28. 28.Statements: No cups are bags. Some rings are cups. Conclusion: Some rings are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  29. 29.Statements: No cups are bags. All pens are cups. Conclusion: All pens are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  30. 30.Statements: No rings are books. All rings are pens. Conclusion: No books are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  31. 31.Statements: No kites are cups. No cups are coins. Conclusion: All coins are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  32. 32.Statements: Some pens are bags. Some bags are bells. Conclusion: All bells are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  33. 33.Statements: All pens are bags. No rings are bags. Conclusion: All rings are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  34. 34.Statements: All bags are books. All books are cups. Conclusion: All cups are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  35. 35.Statements: Some coins are kites. Some coins are balls. Conclusion: All balls are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  36. 36.Statements: No bags are books. No balls are books. Conclusion: Some balls are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  37. 37.Statements: Some pens are bags. No pens are kites. Conclusion: No kites are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  38. 38.Statements: Some shoes are pens. No balls are pens. Conclusion: All balls are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  39. 39.Statements: All toys are bags. Some bags are cups. Conclusion: Some cups are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  40. 40.Statements: All kites are bags. Some caps are kites. Conclusion: Some caps are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No

Answer key

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

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