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Syllogism Worksheet

Logical reasoning lesson 21: Syllogisms · Set 56 · 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 pens are books. Some pens are caps. Conclusion: Some caps are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  2. 2.Statements: No keys are coins. All keys are pens. Conclusion: All pens are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  3. 3.Statements: All coins are toys. No bags are coins. Conclusion: All bags are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  4. 4.Statements: Some caps are coins. No cups are caps. Conclusion: No coins are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  5. 5.Statements: No books are coins. Some coins are boxes. Conclusion: All boxes are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  6. 6.Statements: No keys are shoes. Some kites are keys. Conclusion: Some shoes are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  7. 7.Statements: All pens are toys. Some pens are shoes. Conclusion: Some shoes are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  8. 8.Statements: Some boxes are rings. Some books are rings. Conclusion: Some books are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  9. 9.Statements: Some cups are bags. Some bags are pens. Conclusion: All cups are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  10. 10.Statements: All bells are shoes. All shoes are caps. Conclusion: Some bells are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  11. 11.Statements: All bags are caps. No pens are caps. Conclusion: No pens are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  12. 12.Statements: No balls are boxes. No pens are balls. Conclusion: All boxes are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  13. 13.Statements: All rings are books. No rings are pens. Conclusion: Some books are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  14. 14.Statements: No shoes are bags. All cups are bags. Conclusion: Some shoes are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  15. 15.Statements: Some books are bags. All rings are books. Conclusion: All rings are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  16. 16.Statements: All rings are boxes. All kites are rings. Conclusion: Some kites are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  17. 17.Statements: All bags are keys. All keys are books. Conclusion: All books are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  18. 18.Statements: All coins are boxes. All balls are coins. Conclusion: Some balls are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  19. 19.Statements: Some coins are books. Some books are bags. Conclusion: All coins are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  20. 20.Statements: All pens are books. No bags are books. Conclusion: All pens are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  21. 21.Statements: Some caps are bags. All caps are coins. Conclusion: Some bags are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  22. 22.Statements: All shoes are kites. Some shoes are caps. Conclusion: No caps are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  23. 23.Statements: No boxes are balls. All rings are balls. Conclusion: No rings are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  24. 24.Statements: No shoes are kites. Some balls are kites. Conclusion: All balls are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  25. 25.Statements: All balls are toys. Some balls are boxes. Conclusion: Some toys are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  26. 26.Statements: All bags are shoes. All coins are bags. Conclusion: Some coins are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  27. 27.Statements: No coins are balls. All balls are bags. Conclusion: Some coins are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  28. 28.Statements: No toys are bags. All toys are boxes. Conclusion: Some bags are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  29. 29.Statements: All bags are toys. Some balls are bags. Conclusion: Some balls are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  30. 30.Statements: All pens are books. No toys are books. Conclusion: All pens are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  31. 31.Statements: Some books are caps. Some caps are bells. Conclusion: No books are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  32. 32.Statements: No bags are toys. Some bags are kites. Conclusion: All kites are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  33. 33.Statements: No keys are bells. All shoes are keys. Conclusion: No shoes are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  34. 34.Statements: Some balls are rings. Some rings are shoes. Conclusion: All balls are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  35. 35.Statements: No caps are pens. All bags are pens. Conclusion: No bags are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  36. 36.Statements: All rings are boxes. All rings are toys. Conclusion: Some toys are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  37. 37.Statements: All bells are cups. No bells are coins. Conclusion: All coins are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  38. 38.Statements: No rings are caps. No rings are cups. Conclusion: Some cups are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  39. 39.Statements: No pens are bags. Some bags are coins. Conclusion: All coins are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  40. 40.Statements: No shoes are bags. All toys are bags. Conclusion: All shoes are toys. 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. Yes
  8. No
  9. No
  10. Yes
  11. Yes
  12. No
  13. No
  14. No
  15. No
  16. Yes
  17. No
  18. Yes
  19. No
  20. No
  21. Yes
  22. No
  23. Yes
  24. No
  25. Yes
  26. Yes
  27. No
  28. No
  29. Yes
  30. No
  31. No
  32. No
  33. Yes
  34. No
  35. Yes
  36. Yes
  37. No
  38. No
  39. No
  40. No

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