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Syllogism Worksheet

Logical reasoning lesson 21: Syllogisms · Set 412 · 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: All cups are pens. No cups are bells. Conclusion: All bells are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  2. 2.Statements: All books are kites. All caps are books. Conclusion: Some caps are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  3. 3.Statements: No kites are books. No books are pens. Conclusion: Some pens are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  4. 4.Statements: All books are toys. All balls are books. Conclusion: Some toys are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  5. 5.Statements: No cups are shoes. Some shoes are rings. Conclusion: Some rings are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  6. 6.Statements: No coins are books. Some caps are books. Conclusion: All caps are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  7. 7.Statements: No shoes are balls. Some balls are cups. Conclusion: Some shoes are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  8. 8.Statements: No pens are boxes. Some pens are books. Conclusion: Some boxes are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  9. 9.Statements: Some cups are bells. All cups are keys. Conclusion: Some keys are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  10. 10.Statements: All balls are cups. All books are balls. Conclusion: All cups are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  11. 11.Statements: Some keys are pens. All pens are cups. Conclusion: Some keys are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  12. 12.Statements: All caps are books. All toys are caps. Conclusion: All toys are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  13. 13.Statements: Some pens are caps. Some caps are coins. Conclusion: No coins are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  14. 14.Statements: Some boxes are books. All shoes are boxes. Conclusion: All shoes are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  15. 15.Statements: All rings are pens. All caps are rings. Conclusion: No pens are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  16. 16.Statements: All bags are rings. All boxes are bags. Conclusion: No boxes are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  17. 17.Statements: Some bells are rings. Some cups are rings. Conclusion: Some cups are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  18. 18.Statements: All coins are pens. Some coins are books. Conclusion: All books are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  19. 19.Statements: Some pens are bells. Some pens are cups. Conclusion: No bells are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  20. 20.Statements: All rings are kites. No cups are kites. Conclusion: All rings are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  21. 21.Statements: All keys are boxes. No boxes are balls. Conclusion: No balls are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  22. 22.Statements: All coins are kites. All bags are kites. Conclusion: All coins are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  23. 23.Statements: Some bags are books. All cups are books. Conclusion: Some cups are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  24. 24.Statements: No coins are kites. Some bags are coins. Conclusion: No bags are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  25. 25.Statements: No cups are caps. No bags are cups. Conclusion: All bags are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  26. 26.Statements: All bells are kites. No kites are shoes. Conclusion: No bells are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  27. 27.Statements: All shoes are boxes. All rings are shoes. Conclusion: No boxes are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  28. 28.Statements: Some caps are books. All caps are kites. Conclusion: Some books are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  29. 29.Statements: No shoes are balls. No shoes are books. Conclusion: Some balls are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  30. 30.Statements: Some books are pens. Some books are rings. Conclusion: All pens are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  31. 31.Statements: No cups are caps. Some rings are caps. Conclusion: Some rings are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  32. 32.Statements: No boxes are coins. All pens are boxes. Conclusion: All pens are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  33. 33.Statements: Some toys are boxes. All boxes are pens. Conclusion: Some pens are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  34. 34.Statements: All books are cups. Some books are pens. Conclusion: Some cups are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  35. 35.Statements: All boxes are keys. All balls are keys. Conclusion: All boxes are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  36. 36.Statements: No rings are caps. No kites are rings. Conclusion: No caps are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  37. 37.Statements: All balls are bags. Some toys are bags. Conclusion: All balls are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  38. 38.Statements: All bags are coins. All coins are bells. Conclusion: No bells are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  39. 39.Statements: All bags are cups. Some boxes are bags. Conclusion: No boxes are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  40. 40.Statements: All bells are books. All keys are books. Conclusion: Some keys are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No

Answer key

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

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