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Syllogism Worksheet

Logical reasoning lesson 21: Syllogisms · Set 268 · 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 cups are pens. No books are pens. Conclusion: Some cups are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  2. 2.Statements: All kites are boxes. No books are kites. Conclusion: Some boxes are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  3. 3.Statements: All toys are kites. Some coins are kites. Conclusion: All coins are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  4. 4.Statements: All rings are toys. All rings are bags. Conclusion: No toys are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  5. 5.Statements: No balls are cups. No cups are kites. Conclusion: No kites are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  6. 6.Statements: All books are toys. All books are kites. Conclusion: Some toys are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  7. 7.Statements: All cups are keys. Some kites are keys. Conclusion: No cups are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  8. 8.Statements: All toys are caps. No caps are shoes. Conclusion: All toys are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  9. 9.Statements: Some bells are balls. All balls are kites. Conclusion: Some bells are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  10. 10.Statements: All bags are cups. All cups are rings. Conclusion: All bags are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  11. 11.Statements: All books are keys. Some books are kites. Conclusion: Some kites are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  12. 12.Statements: No balls are pens. All caps are pens. Conclusion: No caps are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  13. 13.Statements: No pens are caps. Some pens are shoes. Conclusion: No caps are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  14. 14.Statements: No pens are caps. Some pens are books. Conclusion: All caps are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  15. 15.Statements: All bags are kites. All shoes are kites. Conclusion: No bags are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  16. 16.Statements: All balls are cups. All boxes are cups. Conclusion: Some balls are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  17. 17.Statements: All coins are bells. All rings are bells. Conclusion: All rings are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  18. 18.Statements: All kites are shoes. Some balls are kites. Conclusion: All shoes are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  19. 19.Statements: All caps are bags. Some caps are cups. Conclusion: All bags are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  20. 20.Statements: No pens are books. All keys are pens. Conclusion: No keys are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  21. 21.Statements: All rings are boxes. Some boxes are bags. Conclusion: All rings are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  22. 22.Statements: All keys are boxes. Some cups are keys. Conclusion: Some boxes are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  23. 23.Statements: Some pens are bells. Some bells are books. Conclusion: All pens are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  24. 24.Statements: No pens are toys. All toys are books. Conclusion: All pens are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  25. 25.Statements: All keys are rings. Some keys are boxes. Conclusion: Some rings are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  26. 26.Statements: All bags are rings. Some bags are pens. Conclusion: No pens are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  27. 27.Statements: All cups are pens. All cups are shoes. Conclusion: Some pens are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  28. 28.Statements: All caps are shoes. Some kites are caps. Conclusion: All shoes are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  29. 29.Statements: All coins are books. All coins are caps. Conclusion: Some caps are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  30. 30.Statements: All balls are keys. No books are balls. Conclusion: Some keys are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  31. 31.Statements: All caps are bags. All bags are boxes. Conclusion: Some caps are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  32. 32.Statements: Some boxes are toys. Some coins are boxes. Conclusion: Some coins are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  33. 33.Statements: No shoes are bags. No bags are boxes. Conclusion: Some boxes are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  34. 34.Statements: No pens are kites. Some kites are shoes. Conclusion: All pens are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  35. 35.Statements: Some caps are books. All books are coins. Conclusion: Some coins are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  36. 36.Statements: No books are bells. All bags are books. Conclusion: No bags are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  37. 37.Statements: Some boxes are pens. No cups are pens. Conclusion: All boxes are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  38. 38.Statements: No pens are coins. Some toys are pens. Conclusion: No coins are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  39. 39.Statements: No toys are bells. All keys are toys. Conclusion: No keys are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  40. 40.Statements: Some toys are balls. All pens are balls. Conclusion: All pens are toys. 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. No
  9. Yes
  10. Yes
  11. Yes
  12. Yes
  13. No
  14. No
  15. No
  16. No
  17. No
  18. No
  19. No
  20. Yes
  21. No
  22. Yes
  23. No
  24. No
  25. Yes
  26. No
  27. Yes
  28. No
  29. Yes
  30. No
  31. Yes
  32. No
  33. No
  34. No
  35. Yes
  36. Yes
  37. No
  38. No
  39. Yes
  40. No

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