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Syllogism Worksheet

Logical reasoning lesson 21: Syllogisms · Set 340 · 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 kites are keys. No kites are pens. Conclusion: No keys are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  2. 2.Statements: Some books are bags. All books are cups. Conclusion: All bags are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  3. 3.Statements: All bells are bags. No books are bags. Conclusion: No books are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  4. 4.Statements: Some boxes are bags. Some bells are bags. Conclusion: Some boxes are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  5. 5.Statements: Some boxes are bags. Some caps are boxes. Conclusion: All bags are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  6. 6.Statements: All balls are bags. All caps are bags. Conclusion: Some balls are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  7. 7.Statements: All pens are rings. All coins are rings. Conclusion: All pens are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  8. 8.Statements: All books are coins. All toys are books. Conclusion: No toys are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  9. 9.Statements: Some books are balls. All caps are balls. Conclusion: No books are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  10. 10.Statements: No boxes are coins. All balls are coins. Conclusion: No boxes are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  11. 11.Statements: Some toys are books. No toys are cups. Conclusion: Some books are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  12. 12.Statements: No boxes are caps. All books are boxes. Conclusion: All caps are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  13. 13.Statements: All toys are pens. All pens are balls. Conclusion: Some balls are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  14. 14.Statements: All bells are coins. Some bells are balls. Conclusion: Some coins are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  15. 15.Statements: Some boxes are books. No shoes are books. Conclusion: Some shoes are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  16. 16.Statements: All cups are boxes. Some balls are cups. Conclusion: Some boxes are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  17. 17.Statements: Some caps are bells. All bells are toys. Conclusion: All toys are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  18. 18.Statements: No pens are keys. All bags are pens. Conclusion: Some keys are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  19. 19.Statements: No bags are shoes. Some rings are bags. Conclusion: Some rings are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  20. 20.Statements: All pens are toys. All toys are rings. Conclusion: All rings are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  21. 21.Statements: Some caps are books. All books are bells. Conclusion: Some caps are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  22. 22.Statements: Some boxes are rings. Some coins are rings. Conclusion: No coins are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  23. 23.Statements: All books are bags. No bags are boxes. Conclusion: Some books are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  24. 24.Statements: No rings are balls. Some shoes are rings. Conclusion: All shoes are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  25. 25.Statements: Some caps are keys. Some keys are cups. Conclusion: All cups are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  26. 26.Statements: Some bells are keys. No bells are toys. Conclusion: Some toys are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  27. 27.Statements: All shoes are books. No bags are books. Conclusion: All bags are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  28. 28.Statements: All coins are caps. Some coins are toys. Conclusion: Some toys are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  29. 29.Statements: All toys are keys. No cups are toys. Conclusion: No keys are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  30. 30.Statements: No books are kites. No pens are books. Conclusion: No pens are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  31. 31.Statements: All cups are boxes. All kites are boxes. Conclusion: No cups are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  32. 32.Statements: All caps are bells. No keys are bells. Conclusion: All keys are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  33. 33.Statements: All cups are kites. All cups are pens. Conclusion: Some kites are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  34. 34.Statements: Some bags are pens. Some pens are cups. Conclusion: All bags are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  35. 35.Statements: Some shoes are caps. Some caps are kites. Conclusion: All kites are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  36. 36.Statements: All coins are keys. No rings are keys. Conclusion: Some rings are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  37. 37.Statements: All bells are caps. Some bells are bags. Conclusion: Some caps are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  38. 38.Statements: No toys are coins. All caps are coins. Conclusion: All toys are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  39. 39.Statements: All pens are rings. All boxes are rings. Conclusion: All pens are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  40. 40.Statements: No cups are toys. Some cups are keys. Conclusion: All toys are keys. 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. No
  9. No
  10. Yes
  11. No
  12. No
  13. Yes
  14. Yes
  15. No
  16. Yes
  17. No
  18. No
  19. No
  20. No
  21. Yes
  22. No
  23. No
  24. No
  25. No
  26. No
  27. No
  28. Yes
  29. No
  30. No
  31. No
  32. No
  33. Yes
  34. No
  35. No
  36. No
  37. Yes
  38. No
  39. No
  40. No

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