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Syllogism Worksheet

Logical reasoning lesson 21: Syllogisms · Set 396 · 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 pens are coins. No balls are coins. Conclusion: All balls are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  2. 2.Statements: No books are kites. All balls are kites. Conclusion: No balls are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  3. 3.Statements: No cups are coins. All coins are shoes. Conclusion: Some shoes are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  4. 4.Statements: No shoes are kites. All shoes are cups. Conclusion: All kites are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  5. 5.Statements: Some books are balls. No books are boxes. Conclusion: All balls are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  6. 6.Statements: No bells are pens. Some toys are bells. Conclusion: All pens are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  7. 7.Statements: Some balls are pens. Some cups are balls. Conclusion: No pens are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  8. 8.Statements: No cups are keys. All bags are keys. Conclusion: Some cups are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  9. 9.Statements: Some cups are bags. All cups are balls. Conclusion: Some bags are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  10. 10.Statements: Some rings are bags. All bags are keys. Conclusion: Some keys are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  11. 11.Statements: Some balls are toys. Some toys are keys. Conclusion: All keys are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  12. 12.Statements: Some kites are rings. All keys are rings. Conclusion: No keys are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  13. 13.Statements: Some caps are toys. All toys are balls. Conclusion: All caps are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  14. 14.Statements: All cups are pens. Some pens are bells. Conclusion: Some bells are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  15. 15.Statements: All coins are balls. No pens are balls. Conclusion: No pens are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  16. 16.Statements: All pens are bags. No coins are pens. Conclusion: No bags are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  17. 17.Statements: Some shoes are books. All keys are books. Conclusion: Some keys are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  18. 18.Statements: All shoes are rings. All rings are cups. Conclusion: No cups are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  19. 19.Statements: No books are balls. No caps are books. Conclusion: All balls are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  20. 20.Statements: No balls are boxes. All bags are boxes. Conclusion: No bags are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  21. 21.Statements: All books are balls. All keys are books. Conclusion: All keys are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  22. 22.Statements: Some balls are coins. All coins are boxes. Conclusion: No balls are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  23. 23.Statements: No bags are toys. All bags are shoes. Conclusion: No shoes are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  24. 24.Statements: All balls are bells. All balls are cups. Conclusion: Some cups are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  25. 25.Statements: Some books are shoes. All books are toys. Conclusion: All toys are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  26. 26.Statements: No bells are pens. No pens are rings. Conclusion: Some rings are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  27. 27.Statements: Some pens are balls. Some pens are books. Conclusion: No books are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  28. 28.Statements: All keys are cups. No shoes are keys. Conclusion: Some shoes are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  29. 29.Statements: No books are kites. Some cups are kites. Conclusion: Some books are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  30. 30.Statements: No shoes are books. Some boxes are books. Conclusion: Some shoes are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  31. 31.Statements: No coins are pens. All shoes are coins. Conclusion: No shoes are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  32. 32.Statements: Some coins are pens. No pens are boxes. Conclusion: No coins are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  33. 33.Statements: No caps are cups. All books are caps. Conclusion: All books are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  34. 34.Statements: All books are toys. No books are keys. Conclusion: All toys are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  35. 35.Statements: All caps are coins. Some coins are books. Conclusion: Some caps are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  36. 36.Statements: No pens are books. Some keys are pens. Conclusion: All keys are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  37. 37.Statements: Some coins are balls. All balls are shoes. Conclusion: Some shoes are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  38. 38.Statements: All coins are kites. All kites are keys. Conclusion: Some keys are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  39. 39.Statements: Some coins are shoes. No coins are caps. Conclusion: All shoes are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  40. 40.Statements: All keys are caps. All coins are keys. Conclusion: No caps are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No

Answer key

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

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