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Syllogism Worksheet

Logical reasoning lesson 21: Syllogisms · Set 251 · 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: No bags are pens. Some shoes are pens. Conclusion: Some shoes are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  2. 2.Statements: Some rings are pens. No toys are pens. Conclusion: No rings are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  3. 3.Statements: All caps are coins. All coins are kites. Conclusion: All kites are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  4. 4.Statements: All coins are cups. No cups are boxes. Conclusion: No coins are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  5. 5.Statements: No toys are pens. No pens are coins. Conclusion: Some coins are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  6. 6.Statements: All pens are toys. All toys are bags. Conclusion: All pens are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  7. 7.Statements: Some keys are kites. Some boxes are keys. Conclusion: Some kites are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  8. 8.Statements: No cups are bags. All cups are toys. Conclusion: Some bags are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  9. 9.Statements: All shoes are books. No bags are shoes. Conclusion: No bags are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  10. 10.Statements: All bags are shoes. Some shoes are caps. Conclusion: No bags are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  11. 11.Statements: All pens are balls. No balls are cups. Conclusion: All cups are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  12. 12.Statements: All shoes are boxes. Some bags are shoes. Conclusion: Some bags are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  13. 13.Statements: No bells are shoes. No cups are bells. Conclusion: No cups are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  14. 14.Statements: All coins are keys. No bags are keys. Conclusion: Some bags are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  15. 15.Statements: All pens are bags. No balls are bags. Conclusion: All balls are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  16. 16.Statements: No books are boxes. All bags are books. Conclusion: All bags are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  17. 17.Statements: Some shoes are rings. All bags are shoes. Conclusion: All rings are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  18. 18.Statements: All bells are bags. No cups are bags. Conclusion: No cups are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  19. 19.Statements: No pens are coins. All caps are coins. Conclusion: No pens are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  20. 20.Statements: All rings are kites. All bags are rings. Conclusion: No kites are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  21. 21.Statements: No boxes are bells. No boxes are caps. Conclusion: No bells are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  22. 22.Statements: Some pens are cups. All cups are keys. Conclusion: Some keys are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  23. 23.Statements: Some balls are boxes. All balls are shoes. Conclusion: Some boxes are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  24. 24.Statements: No books are rings. Some books are bells. Conclusion: No bells are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  25. 25.Statements: Some toys are coins. All toys are pens. Conclusion: No pens are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  26. 26.Statements: All bags are boxes. All boxes are coins. Conclusion: Some bags are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  27. 27.Statements: All toys are books. All books are rings. Conclusion: No toys are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  28. 28.Statements: Some books are kites. No coins are kites. Conclusion: All books are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  29. 29.Statements: All coins are kites. All kites are balls. Conclusion: All coins are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  30. 30.Statements: Some shoes are books. Some boxes are shoes. Conclusion: No boxes are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  31. 31.Statements: All keys are bells. No caps are bells. Conclusion: No caps are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  32. 32.Statements: All books are rings. Some books are boxes. Conclusion: Some rings are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  33. 33.Statements: No coins are boxes. All boxes are keys. Conclusion: All coins are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  34. 34.Statements: All bags are books. Some rings are bags. Conclusion: All rings are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  35. 35.Statements: All pens are bags. Some balls are pens. Conclusion: Some bags are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  36. 36.Statements: Some keys are boxes. No boxes are shoes. Conclusion: No shoes are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  37. 37.Statements: All bells are bags. All bells are coins. Conclusion: No bags are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  38. 38.Statements: Some bells are books. All books are keys. Conclusion: Some bells are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  39. 39.Statements: All keys are shoes. Some kites are keys. Conclusion: No shoes are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  40. 40.Statements: Some coins are rings. All coins are kites. Conclusion: All kites are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No

Answer key

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

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