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Syllogism Worksheet

Logical reasoning lesson 21: Syllogisms · Set 183 · 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: Some cups are bags. All bags are coins. Conclusion: Some coins are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  2. 2.Statements: No kites are bags. All pens are bags. Conclusion: No pens are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  3. 3.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
  4. 4.Statements: All bells are rings. No bags are rings. Conclusion: All bells are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  5. 5.Statements: All shoes are books. All books are boxes. Conclusion: Some boxes are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  6. 6.Statements: Some shoes are bags. All bags are keys. Conclusion: Some shoes are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  7. 7.Statements: All bags are coins. All caps are coins. Conclusion: Some bags are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  8. 8.Statements: Some books are boxes. Some boxes are cups. Conclusion: No books are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  9. 9.Statements: All kites are boxes. All kites are cups. Conclusion: All cups are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  10. 10.Statements: Some rings are keys. No keys are shoes. Conclusion: Some shoes are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  11. 11.Statements: All balls are toys. All balls are books. Conclusion: Some toys are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  12. 12.Statements: All kites are pens. No pens are bags. Conclusion: No kites are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  13. 13.Statements: All bags are bells. All bells are keys. Conclusion: Some bags are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  14. 14.Statements: All boxes are shoes. No keys are shoes. Conclusion: Some keys are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  15. 15.Statements: Some balls are cups. No cups are bells. Conclusion: All bells are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  16. 16.Statements: No keys are books. No books are balls. Conclusion: All keys are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  17. 17.Statements: No pens are boxes. No pens are balls. Conclusion: Some balls are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  18. 18.Statements: No shoes are books. All shoes are toys. Conclusion: All books are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  19. 19.Statements: All kites are coins. All books are kites. Conclusion: Some coins are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  20. 20.Statements: Some pens are kites. All bags are pens. Conclusion: No kites are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  21. 21.Statements: No books are cups. All books are bells. Conclusion: All bells are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  22. 22.Statements: Some pens are balls. All balls are keys. Conclusion: Some keys are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  23. 23.Statements: Some pens are rings. All pens are balls. Conclusion: Some rings are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  24. 24.Statements: All kites are shoes. No shoes are boxes. Conclusion: All kites are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  25. 25.Statements: Some cups are shoes. No cups are bags. Conclusion: All bags are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  26. 26.Statements: All keys are toys. No coins are toys. Conclusion: No coins are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  27. 27.Statements: Some keys are pens. All keys are coins. Conclusion: Some pens are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  28. 28.Statements: All pens are bells. Some pens are caps. Conclusion: No bells are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  29. 29.Statements: All shoes are keys. All balls are shoes. Conclusion: Some keys are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  30. 30.Statements: All pens are toys. All pens are caps. Conclusion: No caps are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  31. 31.Statements: Some pens are boxes. All boxes are shoes. Conclusion: Some pens are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  32. 32.Statements: No pens are coins. All bells are pens. Conclusion: Some coins are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  33. 33.Statements: All books are keys. All rings are books. Conclusion: All keys are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  34. 34.Statements: All bells are keys. Some bells are boxes. Conclusion: No keys are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  35. 35.Statements: All bags are boxes. No coins are boxes. Conclusion: No coins are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  36. 36.Statements: No kites are bells. All kites are keys. Conclusion: No keys are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  37. 37.Statements: All coins are shoes. All kites are shoes. Conclusion: No coins are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  38. 38.Statements: No cups are books. All cups are pens. Conclusion: All books are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  39. 39.Statements: All kites are toys. All books are kites. Conclusion: No toys are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  40. 40.Statements: Some pens are coins. All toys are pens. Conclusion: All coins are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No

Answer key

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

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