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Syllogism Worksheet

Logical reasoning lesson 21: Syllogisms · Set 177 · 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 shoes are rings. All keys are rings. Conclusion: No keys are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  2. 2.Statements: Some coins are boxes. No boxes are balls. Conclusion: No coins are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  3. 3.Statements: All balls are keys. All rings are balls. Conclusion: All rings are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  4. 4.Statements: All bags are balls. All balls are keys. Conclusion: All keys are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  5. 5.Statements: All balls are shoes. No shoes are bells. Conclusion: Some balls are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  6. 6.Statements: All books are bells. All coins are books. Conclusion: Some bells are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  7. 7.Statements: No bells are caps. All balls are caps. Conclusion: All bells are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  8. 8.Statements: All shoes are caps. Some balls are caps. Conclusion: All shoes are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  9. 9.Statements: All pens are bells. All pens are keys. Conclusion: No keys are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  10. 10.Statements: Some bells are boxes. All bells are caps. Conclusion: All caps are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  11. 11.Statements: All boxes are rings. Some keys are boxes. Conclusion: Some keys are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  12. 12.Statements: Some bags are cups. No shoes are cups. Conclusion: No shoes are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  13. 13.Statements: All balls are coins. All balls are bags. Conclusion: No bags are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  14. 14.Statements: All keys are boxes. Some pens are keys. Conclusion: Some boxes are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  15. 15.Statements: All cups are pens. All cups are boxes. Conclusion: All pens are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  16. 16.Statements: All rings are books. Some rings are keys. Conclusion: Some keys are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  17. 17.Statements: No coins are pens. Some bags are pens. Conclusion: All coins are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  18. 18.Statements: All bells are kites. All bags are bells. Conclusion: No kites are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  19. 19.Statements: All pens are coins. Some rings are pens. Conclusion: Some rings are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  20. 20.Statements: Some coins are rings. All rings are books. Conclusion: Some coins are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  21. 21.Statements: All pens are shoes. Some pens are books. Conclusion: Some shoes are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  22. 22.Statements: All bells are pens. No rings are pens. Conclusion: All rings are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  23. 23.Statements: No bags are coins. All keys are coins. Conclusion: All keys are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  24. 24.Statements: All caps are boxes. All books are caps. Conclusion: No boxes are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  25. 25.Statements: All kites are keys. All kites are boxes. Conclusion: Some boxes are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  26. 26.Statements: No shoes are caps. All bags are shoes. Conclusion: All caps are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  27. 27.Statements: No balls are bags. All bags are shoes. Conclusion: All shoes are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  28. 28.Statements: Some boxes are balls. No books are boxes. Conclusion: No books are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  29. 29.Statements: All caps are toys. All caps are bells. Conclusion: Some bells are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  30. 30.Statements: Some shoes are pens. All shoes are bells. Conclusion: Some pens are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  31. 31.Statements: Some boxes are bags. No cups are bags. Conclusion: Some cups are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  32. 32.Statements: All boxes are coins. All coins are books. Conclusion: All boxes are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  33. 33.Statements: All caps are bells. No bells are bags. Conclusion: No caps are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  34. 34.Statements: All pens are boxes. No boxes are kites. Conclusion: No pens are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  35. 35.Statements: All balls are cups. No shoes are balls. Conclusion: All shoes are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  36. 36.Statements: All bells are balls. All balls are bags. Conclusion: All bags are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  37. 37.Statements: Some toys are books. All books are bells. Conclusion: Some toys are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  38. 38.Statements: Some rings are cups. No cups are pens. Conclusion: No pens are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  39. 39.Statements: All caps are bells. Some caps are toys. Conclusion: All bells are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  40. 40.Statements: All toys are books. No shoes are toys. Conclusion: Some books are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No

Answer key

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

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