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Syllogism Worksheet

Logical reasoning lesson 21: Syllogisms · Set 218 · 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 toys are pens. All rings are toys. Conclusion: Some rings are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  2. 2.Statements: Some kites are pens. No shoes are pens. Conclusion: All kites are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  3. 3.Statements: No books are toys. All caps are books. Conclusion: All toys are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  4. 4.Statements: All bags are caps. All bags are balls. Conclusion: All caps are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  5. 5.Statements: No boxes are bells. All keys are boxes. Conclusion: Some keys are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  6. 6.Statements: All coins are pens. Some coins are rings. Conclusion: No pens are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  7. 7.Statements: No rings are books. No toys are books. Conclusion: No rings are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  8. 8.Statements: Some boxes are keys. Some balls are keys. Conclusion: No boxes are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  9. 9.Statements: All kites are coins. Some bags are coins. Conclusion: Some bags are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  10. 10.Statements: Some bells are boxes. No boxes are books. Conclusion: All books are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  11. 11.Statements: No books are caps. Some balls are caps. Conclusion: No books are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  12. 12.Statements: All boxes are kites. All shoes are boxes. Conclusion: No shoes are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  13. 13.Statements: All keys are caps. No caps are balls. Conclusion: Some balls are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  14. 14.Statements: No coins are cups. All balls are cups. Conclusion: No coins are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  15. 15.Statements: Some shoes are books. Some boxes are books. Conclusion: Some shoes are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  16. 16.Statements: No shoes are boxes. All boxes are keys. Conclusion: Some keys are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  17. 17.Statements: No shoes are balls. No balls are bags. Conclusion: All shoes are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  18. 18.Statements: No shoes are pens. Some pens are bells. Conclusion: All shoes are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  19. 19.Statements: Some keys are pens. No keys are balls. Conclusion: All pens are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  20. 20.Statements: All coins are keys. Some toys are coins. Conclusion: Some keys are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  21. 21.Statements: No bells are cups. Some books are cups. Conclusion: No bells are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  22. 22.Statements: Some rings are boxes. All rings are bells. Conclusion: No bells are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  23. 23.Statements: Some cups are keys. All cups are balls. Conclusion: All keys are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  24. 24.Statements: All pens are bags. All bags are caps. Conclusion: Some caps are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  25. 25.Statements: No caps are rings. All bags are rings. Conclusion: No caps are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  26. 26.Statements: All rings are keys. No rings are toys. Conclusion: Some toys are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  27. 27.Statements: No pens are books. Some pens are kites. Conclusion: No books are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  28. 28.Statements: Some caps are rings. All caps are books. Conclusion: No rings are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  29. 29.Statements: All shoes are balls. No keys are balls. Conclusion: No keys are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  30. 30.Statements: No boxes are bags. No shoes are boxes. Conclusion: No shoes are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  31. 31.Statements: Some books are kites. All books are pens. Conclusion: All kites are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  32. 32.Statements: All balls are books. All balls are cups. Conclusion: Some books are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  33. 33.Statements: All shoes are caps. Some caps are rings. Conclusion: All rings are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  34. 34.Statements: All shoes are caps. Some bags are shoes. Conclusion: All caps are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  35. 35.Statements: All rings are bells. All toys are rings. Conclusion: All bells are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  36. 36.Statements: Some books are toys. Some books are shoes. Conclusion: Some shoes are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  37. 37.Statements: All boxes are rings. No boxes are coins. Conclusion: No rings are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  38. 38.Statements: All coins are bags. All coins are boxes. Conclusion: No bags are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  39. 39.Statements: All keys are bags. Some boxes are keys. Conclusion: All bags are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  40. 40.Statements: All bags are cups. Some bags are bells. Conclusion: No cups are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No

Answer key

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

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