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Syllogism Worksheet

Logical reasoning lesson 21: Syllogisms · Set 299 · 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 books are kites. Some shoes are books. Conclusion: All shoes are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  2. 2.Statements: No caps are pens. All caps are boxes. Conclusion: Some boxes are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  3. 3.Statements: All rings are shoes. Some bags are rings. Conclusion: Some bags are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  4. 4.Statements: No shoes are toys. All cups are toys. Conclusion: All shoes are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  5. 5.Statements: All bags are kites. All rings are kites. Conclusion: No bags are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  6. 6.Statements: Some coins are shoes. All bags are coins. Conclusion: All shoes are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  7. 7.Statements: No coins are books. Some books are balls. Conclusion: All balls are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  8. 8.Statements: All cups are pens. All cups are shoes. Conclusion: Some shoes are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  9. 9.Statements: Some rings are bags. All bags are caps. Conclusion: Some caps are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  10. 10.Statements: Some bells are boxes. Some cups are bells. Conclusion: No cups are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  11. 11.Statements: No caps are shoes. No coins are caps. Conclusion: Some shoes are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  12. 12.Statements: All coins are bells. No bells are books. Conclusion: Some coins are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  13. 13.Statements: No shoes are balls. All shoes are boxes. Conclusion: No boxes are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  14. 14.Statements: All coins are pens. Some coins are toys. Conclusion: Some pens are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  15. 15.Statements: No rings are pens. All rings are toys. Conclusion: No toys are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  16. 16.Statements: Some bells are bags. All bells are boxes. Conclusion: Some boxes are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  17. 17.Statements: All rings are boxes. Some shoes are boxes. Conclusion: No shoes are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  18. 18.Statements: Some toys are boxes. All toys are coins. Conclusion: All coins are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  19. 19.Statements: Some books are cups. Some toys are cups. Conclusion: All books are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  20. 20.Statements: All books are bags. All books are boxes. Conclusion: All boxes are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  21. 21.Statements: No bags are keys. No toys are keys. Conclusion: All toys are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  22. 22.Statements: No boxes are cups. No bags are boxes. Conclusion: Some bags are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  23. 23.Statements: No rings are caps. Some rings are bags. Conclusion: All bags are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  24. 24.Statements: Some books are boxes. All boxes are balls. Conclusion: Some balls are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  25. 25.Statements: All books are caps. All books are keys. Conclusion: Some keys are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  26. 26.Statements: All bells are books. All boxes are books. Conclusion: No boxes are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  27. 27.Statements: Some toys are pens. All coins are pens. Conclusion: No coins are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  28. 28.Statements: Some rings are balls. Some shoes are balls. Conclusion: Some rings are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  29. 29.Statements: Some bells are kites. Some kites are shoes. Conclusion: Some shoes are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  30. 30.Statements: No bells are bags. No bells are balls. Conclusion: Some bags are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  31. 31.Statements: Some keys are caps. All keys are kites. Conclusion: All caps are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  32. 32.Statements: No bags are shoes. Some bags are books. Conclusion: No shoes are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  33. 33.Statements: No kites are caps. Some caps are bells. Conclusion: Some bells are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  34. 34.Statements: No books are rings. No books are caps. Conclusion: All rings are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  35. 35.Statements: No pens are balls. No balls are boxes. Conclusion: Some pens are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  36. 36.Statements: All cups are toys. Some keys are toys. Conclusion: All keys are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  37. 37.Statements: All pens are caps. All toys are caps. Conclusion: All pens are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  38. 38.Statements: Some boxes are coins. All coins are rings. Conclusion: Some rings are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  39. 39.Statements: Some kites are shoes. All coins are kites. Conclusion: No shoes are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  40. 40.Statements: No bags are coins. All bells are bags. Conclusion: All coins are bells. 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. Yes
  9. Yes
  10. No
  11. No
  12. No
  13. No
  14. Yes
  15. No
  16. Yes
  17. No
  18. No
  19. No
  20. No
  21. No
  22. No
  23. No
  24. Yes
  25. Yes
  26. No
  27. No
  28. No
  29. No
  30. No
  31. No
  32. No
  33. No
  34. No
  35. No
  36. No
  37. No
  38. Yes
  39. No
  40. No

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