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Syllogism Worksheet

Logical reasoning lesson 21: Syllogisms · Set 97 · 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 balls are pens. All pens are bags. Conclusion: All balls are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  2. 2.Statements: Some books are caps. All books are shoes. Conclusion: Some caps are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  3. 3.Statements: No kites are bells. All boxes are bells. Conclusion: No kites are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  4. 4.Statements: No boxes are kites. No rings are boxes. Conclusion: All kites are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  5. 5.Statements: No boxes are bags. No boxes are keys. Conclusion: All keys are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  6. 6.Statements: Some cups are balls. No cups are caps. Conclusion: All balls are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  7. 7.Statements: All keys are pens. All kites are pens. Conclusion: No kites are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  8. 8.Statements: No kites are books. Some kites are keys. Conclusion: Some keys are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  9. 9.Statements: All bells are pens. No pens are books. Conclusion: All bells are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  10. 10.Statements: All keys are cups. No balls are keys. Conclusion: No balls are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  11. 11.Statements: No shoes are keys. All keys are rings. Conclusion: Some rings are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  12. 12.Statements: Some pens are rings. All balls are rings. Conclusion: No pens are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  13. 13.Statements: Some boxes are books. Some keys are boxes. Conclusion: No keys are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  14. 14.Statements: Some boxes are cups. Some bags are cups. Conclusion: All bags are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  15. 15.Statements: All balls are books. Some bells are books. Conclusion: Some balls are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  16. 16.Statements: All coins are caps. All caps are books. Conclusion: All books are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  17. 17.Statements: No toys are bags. No bags are books. Conclusion: Some books are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  18. 18.Statements: All shoes are bells. All bells are cups. Conclusion: All shoes are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  19. 19.Statements: Some pens are bells. All bells are caps. Conclusion: Some caps are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  20. 20.Statements: Some shoes are pens. All pens are boxes. Conclusion: All boxes are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  21. 21.Statements: Some shoes are coins. Some coins are pens. Conclusion: Some shoes are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  22. 22.Statements: All coins are books. No books are rings. Conclusion: No coins are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  23. 23.Statements: All caps are pens. Some caps are bells. Conclusion: No pens are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  24. 24.Statements: All rings are boxes. Some toys are rings. Conclusion: Some boxes are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  25. 25.Statements: Some keys are rings. All rings are toys. Conclusion: No keys are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  26. 26.Statements: No cups are keys. All cups are toys. Conclusion: All keys are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  27. 27.Statements: All coins are balls. All kites are coins. Conclusion: All balls are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  28. 28.Statements: All shoes are keys. Some balls are keys. Conclusion: No shoes are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  29. 29.Statements: No books are kites. All bells are kites. Conclusion: All bells are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  30. 30.Statements: No rings are shoes. All rings are bags. Conclusion: Some bags are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  31. 31.Statements: All pens are caps. Some books are pens. Conclusion: Some books are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  32. 32.Statements: All books are pens. Some books are bags. Conclusion: Some bags are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  33. 33.Statements: All bells are keys. All keys are shoes. Conclusion: No bells are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  34. 34.Statements: Some boxes are keys. All boxes are balls. Conclusion: Some balls are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  35. 35.Statements: Some cups are toys. Some toys are bells. Conclusion: Some cups are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  36. 36.Statements: Some toys are bags. Some rings are toys. Conclusion: All rings are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  37. 37.Statements: No coins are kites. No bags are coins. Conclusion: No kites are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  38. 38.Statements: No boxes are cups. All rings are boxes. Conclusion: No rings are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  39. 39.Statements: No kites are bells. Some bags are kites. Conclusion: All bags are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  40. 40.Statements: All balls are rings. All rings are books. Conclusion: All balls are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No

Answer key

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

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