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Syllogism Worksheet

Logical reasoning lesson 21: Syllogisms · Set 313 · 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 coins are bags. Some bags are pens. Conclusion: All pens are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  2. 2.Statements: Some books are boxes. No caps are books. Conclusion: All boxes are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  3. 3.Statements: Some cups are toys. Some books are cups. Conclusion: All toys are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  4. 4.Statements: Some coins are keys. Some toys are coins. Conclusion: No keys are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  5. 5.Statements: Some shoes are cups. All rings are cups. Conclusion: All shoes are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  6. 6.Statements: All pens are coins. All pens are keys. Conclusion: All keys are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  7. 7.Statements: Some books are coins. No books are bags. Conclusion: All bags are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  8. 8.Statements: All keys are bags. No bags are cups. Conclusion: No keys are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  9. 9.Statements: No coins are boxes. All bells are coins. Conclusion: No boxes are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  10. 10.Statements: All books are coins. No coins are bags. Conclusion: No bags are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  11. 11.Statements: All shoes are balls. No coins are balls. Conclusion: No shoes are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  12. 12.Statements: Some bags are toys. Some toys are books. Conclusion: Some bags are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  13. 13.Statements: All coins are cups. Some books are coins. Conclusion: Some cups are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  14. 14.Statements: No pens are books. No books are coins. Conclusion: Some coins are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  15. 15.Statements: Some toys are bags. All keys are toys. Conclusion: Some bags are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  16. 16.Statements: Some bags are pens. All pens are shoes. Conclusion: No bags are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  17. 17.Statements: No balls are kites. Some kites are pens. Conclusion: All balls are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  18. 18.Statements: No bags are caps. All caps are boxes. Conclusion: No bags are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  19. 19.Statements: No caps are boxes. Some bags are boxes. Conclusion: Some bags are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  20. 20.Statements: All balls are cups. No coins are cups. Conclusion: All balls are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  21. 21.Statements: All books are pens. All bags are books. Conclusion: No bags are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  22. 22.Statements: All bags are boxes. Some boxes are shoes. Conclusion: All bags are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  23. 23.Statements: No toys are kites. All kites are bags. Conclusion: All toys are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  24. 24.Statements: No toys are shoes. No coins are shoes. Conclusion: Some coins are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  25. 25.Statements: No cups are coins. No cups are bells. Conclusion: Some coins are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  26. 26.Statements: All books are caps. Some keys are caps. Conclusion: All keys are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  27. 27.Statements: All bags are shoes. All shoes are boxes. Conclusion: No boxes are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  28. 28.Statements: Some boxes are pens. Some pens are books. Conclusion: No books are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  29. 29.Statements: All bells are pens. All pens are keys. Conclusion: All bells are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  30. 30.Statements: Some coins are keys. No shoes are keys. Conclusion: All shoes are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  31. 31.Statements: All cups are boxes. Some cups are pens. Conclusion: No pens are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  32. 32.Statements: All coins are bells. All coins are shoes. Conclusion: No bells are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  33. 33.Statements: Some boxes are balls. Some bells are boxes. Conclusion: All bells are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  34. 34.Statements: All cups are coins. No bags are coins. Conclusion: All cups are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  35. 35.Statements: Some caps are books. All keys are books. Conclusion: No caps are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  36. 36.Statements: No boxes are toys. All rings are boxes. Conclusion: No rings are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  37. 37.Statements: All bells are pens. Some bells are books. Conclusion: Some books are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  38. 38.Statements: No shoes are pens. No balls are pens. Conclusion: All balls are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  39. 39.Statements: All boxes are bags. Some bells are boxes. Conclusion: No bags are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  40. 40.Statements: All bells are kites. No pens are kites. Conclusion: No pens are bells. 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. No
  7. No
  8. Yes
  9. Yes
  10. Yes
  11. Yes
  12. No
  13. Yes
  14. No
  15. No
  16. No
  17. No
  18. No
  19. No
  20. No
  21. No
  22. No
  23. No
  24. No
  25. No
  26. No
  27. No
  28. No
  29. Yes
  30. No
  31. No
  32. No
  33. No
  34. No
  35. No
  36. Yes
  37. Yes
  38. No
  39. No
  40. Yes

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