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Syllogism Worksheet

Logical reasoning lesson 21: Syllogisms · Set 282 · 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 cups are pens. No keys are pens. Conclusion: Some cups are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  2. 2.Statements: Some toys are caps. Some caps are pens. Conclusion: No pens are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  3. 3.Statements: All bells are coins. All balls are coins. Conclusion: No balls are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  4. 4.Statements: No books are balls. No keys are balls. Conclusion: No books are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  5. 5.Statements: All balls are boxes. All boxes are caps. Conclusion: No caps are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  6. 6.Statements: No books are rings. All rings are kites. Conclusion: All books are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  7. 7.Statements: Some kites are balls. All balls are pens. Conclusion: All pens are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  8. 8.Statements: All caps are boxes. All caps are balls. Conclusion: Some balls are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  9. 9.Statements: All keys are bags. All bags are caps. Conclusion: Some caps are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  10. 10.Statements: All cups are toys. All keys are cups. Conclusion: No toys are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  11. 11.Statements: All pens are toys. All pens are bells. Conclusion: All bells are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  12. 12.Statements: All coins are cups. All cups are rings. Conclusion: All coins are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  13. 13.Statements: All shoes are bells. No keys are bells. Conclusion: Some shoes are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  14. 14.Statements: Some pens are boxes. No rings are pens. Conclusion: Some boxes are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  15. 15.Statements: No toys are keys. All toys are coins. Conclusion: No coins are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  16. 16.Statements: No boxes are caps. No caps are bells. Conclusion: Some bells are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  17. 17.Statements: All toys are coins. No keys are coins. Conclusion: Some keys are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  18. 18.Statements: All balls are keys. Some balls are rings. Conclusion: Some rings are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  19. 19.Statements: All bells are books. No toys are books. Conclusion: All bells are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  20. 20.Statements: Some bags are books. No coins are books. Conclusion: Some bags are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  21. 21.Statements: Some bells are caps. Some caps are toys. Conclusion: All toys are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  22. 22.Statements: Some bells are cups. Some bells are pens. Conclusion: No pens are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  23. 23.Statements: All caps are cups. All caps are books. Conclusion: All books are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  24. 24.Statements: No caps are keys. All caps are bells. Conclusion: All keys are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  25. 25.Statements: All bags are boxes. Some bags are books. Conclusion: Some books are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  26. 26.Statements: Some bells are cups. All bells are kites. Conclusion: No cups are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  27. 27.Statements: No kites are cups. All books are kites. Conclusion: All books are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  28. 28.Statements: No bags are keys. All bags are boxes. Conclusion: No keys are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  29. 29.Statements: No coins are boxes. Some books are coins. Conclusion: Some boxes are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  30. 30.Statements: All rings are pens. Some caps are pens. Conclusion: Some caps are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  31. 31.Statements: Some keys are shoes. All shoes are cups. Conclusion: Some cups are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  32. 32.Statements: No pens are caps. All balls are caps. Conclusion: Some balls are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  33. 33.Statements: Some pens are shoes. Some pens are coins. Conclusion: All coins are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  34. 34.Statements: All balls are books. Some cups are balls. Conclusion: Some cups are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  35. 35.Statements: No rings are caps. All caps are toys. Conclusion: No rings are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  36. 36.Statements: Some bags are kites. All bags are balls. Conclusion: Some balls are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  37. 37.Statements: No kites are balls. All books are kites. Conclusion: All balls are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  38. 38.Statements: No shoes are balls. Some toys are balls. Conclusion: All shoes are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  39. 39.Statements: All pens are bags. No bags are boxes. Conclusion: Some boxes are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  40. 40.Statements: All caps are coins. Some coins are keys. Conclusion: All keys are caps. 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. No
  7. No
  8. Yes
  9. Yes
  10. No
  11. No
  12. Yes
  13. No
  14. No
  15. No
  16. No
  17. No
  18. Yes
  19. No
  20. No
  21. No
  22. No
  23. No
  24. No
  25. Yes
  26. No
  27. No
  28. No
  29. No
  30. No
  31. Yes
  32. No
  33. No
  34. Yes
  35. No
  36. Yes
  37. No
  38. No
  39. No
  40. No

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