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Syllogism Worksheet

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

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