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Syllogism Worksheet

Logical reasoning lesson 21: Syllogisms · Set 137 · 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 bells are caps. No caps are rings. Conclusion: Some rings are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  2. 2.Statements: All pens are balls. All cups are balls. Conclusion: Some cups are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  3. 3.Statements: No toys are shoes. Some caps are shoes. Conclusion: Some toys are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  4. 4.Statements: All toys are bells. No bells are pens. Conclusion: Some pens are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  5. 5.Statements: No bags are caps. All caps are cups. Conclusion: All cups are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  6. 6.Statements: Some balls are books. All balls are kites. Conclusion: No books are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  7. 7.Statements: No bags are balls. All books are bags. Conclusion: All balls are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  8. 8.Statements: All caps are boxes. All boxes are rings. Conclusion: Some rings are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  9. 9.Statements: All shoes are coins. Some bags are shoes. Conclusion: No coins are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  10. 10.Statements: No toys are pens. All pens are bells. Conclusion: Some bells are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  11. 11.Statements: Some bags are balls. Some coins are bags. Conclusion: All coins are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  12. 12.Statements: Some cups are keys. All keys are balls. Conclusion: No balls are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  13. 13.Statements: Some balls are bells. Some balls are toys. Conclusion: No bells are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  14. 14.Statements: No kites are coins. All cups are coins. Conclusion: Some kites are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  15. 15.Statements: All bells are balls. All coins are balls. Conclusion: Some coins are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  16. 16.Statements: All balls are shoes. No balls are toys. Conclusion: No shoes are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  17. 17.Statements: No rings are bells. All rings are coins. Conclusion: No bells are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  18. 18.Statements: All bells are books. All books are pens. Conclusion: All bells are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  19. 19.Statements: No caps are books. No bags are books. Conclusion: No caps are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  20. 20.Statements: All shoes are kites. All bags are kites. Conclusion: All bags are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  21. 21.Statements: Some bells are cups. All bells are balls. Conclusion: Some cups are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  22. 22.Statements: No shoes are bags. All shoes are caps. Conclusion: No bags are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  23. 23.Statements: Some books are keys. All books are pens. Conclusion: Some keys are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  24. 24.Statements: All boxes are kites. All coins are boxes. Conclusion: No kites are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  25. 25.Statements: All pens are coins. All coins are shoes. Conclusion: All pens are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  26. 26.Statements: Some shoes are pens. Some shoes are balls. Conclusion: All pens are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  27. 27.Statements: All pens are kites. Some rings are pens. Conclusion: Some rings are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  28. 28.Statements: All books are bells. All bells are coins. Conclusion: No coins are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  29. 29.Statements: No kites are boxes. All boxes are shoes. Conclusion: Some kites are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  30. 30.Statements: All caps are coins. All pens are coins. Conclusion: All caps are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  31. 31.Statements: Some books are coins. Some books are boxes. Conclusion: Some coins are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  32. 32.Statements: All shoes are pens. All pens are cups. Conclusion: No shoes are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  33. 33.Statements: Some shoes are pens. All pens are caps. Conclusion: No shoes are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  34. 34.Statements: All toys are kites. No toys are coins. Conclusion: All kites are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  35. 35.Statements: All caps are books. No shoes are caps. Conclusion: No books are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  36. 36.Statements: Some cups are books. Some books are caps. Conclusion: Some cups are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  37. 37.Statements: All boxes are books. No books are balls. Conclusion: All balls are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  38. 38.Statements: All shoes are books. No books are balls. Conclusion: No shoes are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  39. 39.Statements: Some bells are kites. No kites are boxes. Conclusion: All boxes are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  40. 40.Statements: All books are rings. All rings are cups. Conclusion: Some cups are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No

Answer key

  1. No
  2. No
  3. No
  4. No
  5. No
  6. No
  7. No
  8. Yes
  9. No
  10. No
  11. No
  12. No
  13. No
  14. No
  15. No
  16. No
  17. No
  18. Yes
  19. No
  20. No
  21. Yes
  22. No
  23. Yes
  24. No
  25. Yes
  26. No
  27. Yes
  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. Yes

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