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Syllogism Worksheet

Logical reasoning lesson 21: Syllogisms · Set 43 · 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 shoes are toys. Some shoes are bells. Conclusion: Some toys are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  2. 2.Statements: No keys are coins. Some keys are bags. Conclusion: All coins are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  3. 3.Statements: All pens are shoes. Some caps are pens. Conclusion: All shoes are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  4. 4.Statements: Some coins are balls. Some shoes are balls. Conclusion: All shoes are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  5. 5.Statements: All bells are shoes. Some balls are shoes. Conclusion: All bells are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  6. 6.Statements: All coins are cups. All cups are kites. Conclusion: All coins are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  7. 7.Statements: All books are pens. All pens are bags. Conclusion: Some bags are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  8. 8.Statements: All keys are bells. Some bells are books. Conclusion: All books are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  9. 9.Statements: Some pens are shoes. All shoes are boxes. Conclusion: Some pens are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  10. 10.Statements: Some rings are boxes. No rings are shoes. Conclusion: No shoes are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  11. 11.Statements: All pens are toys. No bags are pens. Conclusion: Some toys are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  12. 12.Statements: All toys are keys. Some cups are toys. Conclusion: No cups are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  13. 13.Statements: All shoes are boxes. Some shoes are coins. Conclusion: Some boxes are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  14. 14.Statements: No cups are books. All kites are cups. Conclusion: Some kites are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  15. 15.Statements: All balls are books. All books are coins. Conclusion: All coins are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  16. 16.Statements: No caps are keys. Some caps are shoes. Conclusion: No shoes are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  17. 17.Statements: Some bags are boxes. No bags are pens. Conclusion: All pens are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  18. 18.Statements: All pens are balls. All pens are coins. Conclusion: Some coins are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  19. 19.Statements: No toys are balls. Some balls are rings. Conclusion: Some toys are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  20. 20.Statements: Some pens are cups. All cups are bells. Conclusion: Some bells are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  21. 21.Statements: Some rings are boxes. Some bags are rings. Conclusion: All bags are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  22. 22.Statements: Some bells are books. All bells are kites. Conclusion: Some kites are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  23. 23.Statements: Some pens are books. Some balls are pens. Conclusion: No books are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  24. 24.Statements: No caps are bells. All coins are bells. Conclusion: No caps are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  25. 25.Statements: All caps are bells. All caps are rings. Conclusion: No bells are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  26. 26.Statements: All coins are rings. No toys are rings. Conclusion: No toys are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  27. 27.Statements: No caps are toys. No toys are books. Conclusion: Some books are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  28. 28.Statements: No balls are pens. Some pens are cups. Conclusion: All balls are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  29. 29.Statements: All caps are bells. Some caps are rings. Conclusion: All bells are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  30. 30.Statements: No pens are kites. All pens are coins. Conclusion: All coins are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  31. 31.Statements: No cups are kites. Some cups are books. Conclusion: Some books are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  32. 32.Statements: Some balls are toys. No bags are toys. Conclusion: Some bags are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  33. 33.Statements: All coins are kites. Some toys are coins. Conclusion: No toys are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  34. 34.Statements: All boxes are balls. Some rings are boxes. Conclusion: No rings are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  35. 35.Statements: No pens are balls. Some pens are kites. Conclusion: No balls are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  36. 36.Statements: All shoes are caps. No caps are bags. Conclusion: No bags are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  37. 37.Statements: All keys are pens. All kites are pens. Conclusion: No kites are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  38. 38.Statements: All caps are coins. No coins are books. Conclusion: No books are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  39. 39.Statements: All cups are toys. No toys are rings. Conclusion: All rings are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  40. 40.Statements: No boxes are books. All balls are boxes. Conclusion: No books are balls. 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. Yes
  7. Yes
  8. No
  9. Yes
  10. No
  11. No
  12. No
  13. Yes
  14. No
  15. No
  16. No
  17. No
  18. Yes
  19. No
  20. Yes
  21. No
  22. Yes
  23. No
  24. Yes
  25. No
  26. Yes
  27. No
  28. No
  29. No
  30. No
  31. No
  32. No
  33. No
  34. No
  35. No
  36. Yes
  37. No
  38. Yes
  39. No
  40. Yes

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