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Syllogism Worksheet

Logical reasoning lesson 21: Syllogisms · Set 270 · 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 boxes. All pens are boxes. Conclusion: All keys are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  2. 2.Statements: All toys are caps. No pens are caps. Conclusion: Some toys are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  3. 3.Statements: All boxes are keys. All boxes are balls. Conclusion: Some balls are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  4. 4.Statements: Some bags are caps. Some balls are bags. Conclusion: No caps are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  5. 5.Statements: Some boxes are bells. No cups are bells. Conclusion: All boxes are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  6. 6.Statements: No coins are bells. All balls are coins. Conclusion: All bells are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  7. 7.Statements: All pens are shoes. All toys are shoes. Conclusion: Some toys are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  8. 8.Statements: No boxes are pens. All books are pens. Conclusion: Some books are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  9. 9.Statements: Some bags are kites. No books are kites. Conclusion: All books are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  10. 10.Statements: Some coins are rings. All coins are books. Conclusion: No rings are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  11. 11.Statements: No caps are cups. Some caps are pens. Conclusion: No cups are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  12. 12.Statements: All boxes are shoes. Some boxes are coins. Conclusion: All shoes are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  13. 13.Statements: All toys are boxes. All books are toys. Conclusion: All books are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  14. 14.Statements: All books are bells. All bells are bags. Conclusion: Some bags are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  15. 15.Statements: All boxes are pens. Some shoes are pens. Conclusion: No shoes are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  16. 16.Statements: All boxes are toys. No caps are boxes. Conclusion: All toys are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  17. 17.Statements: All balls are boxes. No coins are balls. Conclusion: All coins are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  18. 18.Statements: No cups are boxes. All bells are cups. Conclusion: Some bells are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  19. 19.Statements: All bags are coins. Some coins are balls. Conclusion: All bags are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  20. 20.Statements: All boxes are keys. All books are keys. Conclusion: All boxes are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  21. 21.Statements: No rings are balls. All coins are rings. Conclusion: No balls are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  22. 22.Statements: All balls are toys. Some bags are balls. Conclusion: Some bags are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  23. 23.Statements: Some books are caps. All pens are caps. Conclusion: All books are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  24. 24.Statements: All keys are kites. Some boxes are kites. Conclusion: All keys are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  25. 25.Statements: Some bags are toys. No boxes are bags. Conclusion: All toys are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  26. 26.Statements: No rings are boxes. All caps are boxes. Conclusion: No caps are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  27. 27.Statements: No books are bags. All books are coins. Conclusion: All coins are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  28. 28.Statements: All bells are rings. No rings are shoes. Conclusion: No bells are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  29. 29.Statements: No bags are caps. Some bags are boxes. Conclusion: Some caps are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  30. 30.Statements: Some pens are bags. Some bells are pens. Conclusion: Some bags are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  31. 31.Statements: All cups are coins. All bags are coins. Conclusion: Some cups are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  32. 32.Statements: No rings are bags. Some rings are coins. Conclusion: No coins are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  33. 33.Statements: Some bells are boxes. All boxes are coins. Conclusion: Some coins are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  34. 34.Statements: All bags are pens. Some cups are bags. Conclusion: All pens are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  35. 35.Statements: No boxes are pens. Some pens are shoes. Conclusion: All boxes are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  36. 36.Statements: Some toys are balls. No balls are shoes. Conclusion: All shoes are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  37. 37.Statements: All caps are pens. Some pens are shoes. Conclusion: All shoes are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  38. 38.Statements: All rings are keys. All bags are keys. Conclusion: No bags are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  39. 39.Statements: No bells are caps. All caps are rings. Conclusion: Some rings are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  40. 40.Statements: Some cups are balls. No cups are kites. Conclusion: All balls are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No

Answer key

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

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