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Syllogism Worksheet

Logical reasoning lesson 21: Syllogisms · Set 310 · 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 coins. All kites are cups. Conclusion: Some kites are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  2. 2.Statements: Some kites are books. Some toys are kites. Conclusion: All books are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  3. 3.Statements: All rings are boxes. All toys are rings. Conclusion: All toys are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  4. 4.Statements: Some books are keys. Some books are kites. Conclusion: All keys are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  5. 5.Statements: All rings are cups. All cups are toys. Conclusion: All rings are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  6. 6.Statements: Some bells are books. Some bells are shoes. Conclusion: All shoes are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  7. 7.Statements: No pens are boxes. All boxes are books. Conclusion: Some pens are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  8. 8.Statements: No coins are cups. No cups are keys. Conclusion: All keys are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  9. 9.Statements: All rings are pens. All coins are rings. Conclusion: All pens are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  10. 10.Statements: No boxes are shoes. All shoes are toys. Conclusion: Some toys are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  11. 11.Statements: No coins are bags. Some kites are bags. Conclusion: Some kites are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  12. 12.Statements: No toys are books. All caps are toys. Conclusion: All books are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  13. 13.Statements: Some rings are boxes. Some rings are coins. Conclusion: No coins are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  14. 14.Statements: All coins are pens. Some pens are balls. Conclusion: All balls are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  15. 15.Statements: Some toys are boxes. No kites are boxes. Conclusion: Some toys are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  16. 16.Statements: All bells are caps. Some caps are boxes. Conclusion: All bells are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  17. 17.Statements: All pens are bags. All bags are cups. Conclusion: All pens are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  18. 18.Statements: All pens are rings. All pens are toys. Conclusion: Some rings are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  19. 19.Statements: All bells are boxes. Some bells are books. Conclusion: Some boxes are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  20. 20.Statements: No bags are coins. No kites are coins. Conclusion: Some bags are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  21. 21.Statements: Some keys are boxes. All boxes are shoes. Conclusion: No shoes are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  22. 22.Statements: No books are kites. All books are bags. Conclusion: All bags are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  23. 23.Statements: Some caps are books. Some caps are boxes. Conclusion: No boxes are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  24. 24.Statements: No toys are bags. Some toys are coins. Conclusion: All coins are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  25. 25.Statements: Some toys are caps. No books are caps. Conclusion: Some toys are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  26. 26.Statements: All bells are books. No books are keys. Conclusion: No bells are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  27. 27.Statements: All toys are boxes. All books are boxes. Conclusion: No books are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  28. 28.Statements: Some kites are boxes. Some boxes are bags. Conclusion: No bags are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  29. 29.Statements: All bags are caps. No books are bags. Conclusion: All books are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  30. 30.Statements: Some balls are pens. No pens are bags. Conclusion: Some bags are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  31. 31.Statements: All rings are books. Some books are bells. Conclusion: All bells are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  32. 32.Statements: No cups are bags. All cups are toys. Conclusion: Some toys are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  33. 33.Statements: No bags are shoes. All bags are toys. Conclusion: No shoes are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  34. 34.Statements: All toys are balls. All balls are coins. Conclusion: All coins are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  35. 35.Statements: No pens are caps. No pens are rings. Conclusion: All rings are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  36. 36.Statements: Some balls are coins. Some bells are balls. Conclusion: Some bells are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  37. 37.Statements: All balls are caps. All balls are boxes. Conclusion: Some boxes are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  38. 38.Statements: Some toys are bags. All toys are boxes. Conclusion: Some bags are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  39. 39.Statements: All coins are balls. All coins are cups. Conclusion: Some cups are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  40. 40.Statements: All pens are bells. All pens are boxes. Conclusion: Some boxes are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No

Answer key

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

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