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Syllogism Worksheet

Logical reasoning lesson 21: Syllogisms · Set 244 · 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 shoes are cups. All bags are shoes. Conclusion: All cups are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  2. 2.Statements: All coins are cups. Some cups are kites. Conclusion: No kites are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  3. 3.Statements: Some shoes are books. All shoes are balls. Conclusion: Some books are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  4. 4.Statements: No cups are shoes. Some shoes are kites. Conclusion: Some cups are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  5. 5.Statements: No coins are shoes. No shoes are bags. Conclusion: Some bags are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  6. 6.Statements: All bags are toys. Some shoes are bags. Conclusion: All shoes are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  7. 7.Statements: All balls are coins. All pens are balls. Conclusion: No coins are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  8. 8.Statements: Some keys are coins. All bags are coins. Conclusion: All bags are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  9. 9.Statements: No pens are toys. All pens are keys. Conclusion: Some toys are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  10. 10.Statements: Some shoes are caps. Some pens are caps. Conclusion: All pens are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  11. 11.Statements: No bags are keys. No shoes are keys. Conclusion: All bags are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  12. 12.Statements: All caps are bags. All caps are keys. Conclusion: All keys are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  13. 13.Statements: All kites are coins. No toys are kites. Conclusion: Some coins are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  14. 14.Statements: All boxes are cups. No cups are toys. Conclusion: No toys are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  15. 15.Statements: No kites are bags. All kites are bells. Conclusion: No bells are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  16. 16.Statements: No books are shoes. Some shoes are kites. Conclusion: No kites are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  17. 17.Statements: All pens are keys. All shoes are keys. Conclusion: All shoes are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  18. 18.Statements: No bells are balls. All kites are bells. Conclusion: No kites are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  19. 19.Statements: No keys are rings. All rings are coins. Conclusion: All coins are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  20. 20.Statements: All coins are kites. Some cups are kites. Conclusion: Some cups are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  21. 21.Statements: All cups are balls. Some coins are cups. Conclusion: All coins are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  22. 22.Statements: Some books are caps. All books are bells. Conclusion: All bells are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  23. 23.Statements: All bags are bells. No rings are bells. Conclusion: No bags are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  24. 24.Statements: All caps are bags. No cups are caps. Conclusion: No bags are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  25. 25.Statements: Some balls are books. Some bags are books. Conclusion: Some balls are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  26. 26.Statements: All bells are boxes. All shoes are bells. Conclusion: All shoes are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  27. 27.Statements: All kites are books. All kites are toys. Conclusion: Some toys are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  28. 28.Statements: All coins are caps. Some bags are coins. Conclusion: No bags are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  29. 29.Statements: Some toys are keys. Some toys are caps. Conclusion: No keys are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  30. 30.Statements: All pens are shoes. All keys are pens. Conclusion: All keys are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  31. 31.Statements: No bells are toys. All bells are cups. Conclusion: All toys are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  32. 32.Statements: Some coins are bags. No bags are caps. Conclusion: All coins are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  33. 33.Statements: All rings are boxes. All boxes are shoes. Conclusion: All rings are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  34. 34.Statements: Some bells are caps. No rings are caps. Conclusion: All bells are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  35. 35.Statements: No caps are books. All shoes are books. Conclusion: Some shoes are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  36. 36.Statements: No cups are boxes. All boxes are pens. Conclusion: Some pens are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  37. 37.Statements: No books are pens. All balls are books. Conclusion: Some balls are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  38. 38.Statements: Some coins are toys. Some coins are boxes. Conclusion: Some boxes are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  39. 39.Statements: All rings are balls. No rings are bags. Conclusion: Some bags are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  40. 40.Statements: No boxes are toys. All shoes are toys. Conclusion: Some shoes are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No

Answer key

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

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