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Free Syllogisms MCQs with Answers

40 Syllogisms MCQs from Analytical and Logical Reasoning, each with the correct answer and a written explanation of why it is correct. Free and unlimited, with no account needed.

Syllogisms use categorical statements such as all, some and no to establish relationships between groups. Questions require checking whether conclusions necessarily follow from the premises, often by mental set relationships or Venn diagrams, and distinguishing valid deductions from conclusions that are merely possible.

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40 questions · page 2 of 2

21. Statements: All P are Q. All Q are R. Conclusion: Some R are P. This conclusion is

  • A. valid
  • B. invalid
  • C. contradictory
  • D. unrelated

Explanation: The chain places P inside R, and since P is a non empty class, it follows that at least some R are P.

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Correct answer: valid

22. All daffodils are plants. All plants are living things. Some living things are real. Conclusions: I. All daffodils are living things. II. Some living things are flowers. III. All daffodils are real. Which conclusions follow?

  • A. Only I
  • B. Only I and II
  • C. Only II and III
  • D. All follow

Explanation: Daffodils sit inside plants and plants inside living things, so the chain gives conclusion I validly.

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Correct answer: Only I

23. All children are silly people. Some silly people are rich people. All rich people are big shots. Which of the following conclusions are NECESSARILY TRUE?CONCLUSIONS:I. Some silly people are children.II. Some rich people are children.III. Some silly people are big shots.

  • A. I and III
  • B. II
  • C. II and III
  • D. I and II

Explanation: Let's analyze each conclusion one by one: I. "Some silly people are children." This conclusion is necessarily true based on the given…

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Correct answer: I and III

24. Statements: All film stars are playback singers. All film directors are film stars.Conclusions: I. All film directors are playback singers. II. Some film stars are film directors.

  • A. Only conclusion II follows
  • B. Either I or II follows
  • C. Neither I nor II follows
  • D. Both I and II follows

Explanation: Since both the premises are universal and affirmative, the conclusion must be universal affirmative and should not contain the middle…

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Correct answer: Both I and II follows

25. Statements:No rabbit is lion. Some horses are lions. All rabbits are tables.Conclusions:I. Some tables are lions.II. Some horses are rabbits.III. No lion is table.Which of the following is/are most appropriate in the above scenario?

  • A. Only III
  • B. Only II
  • C. Only II and III
  • D. None of these

Explanation: The statements provide specific information about the relationships between rabbits, lions, horses, and tables.

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Correct answer: None of these

26. Statement: All scientists are fair. All fair people are strong. Conclusions: (I) All scientists are strong. (II) Some strong people are fair.

  • A. Only conclusion I is correct
  • B. Only conclusion II ls correct
  • C. Either conclusion I or II ls correct
  • D. Both conclusion I and II correct

Explanation: If all fair people are strong, then all scientists must also be strong because all scientists are fair.

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Correct answer: Both conclusion I and II correct

27. Statements and Conclusions:1: All clocks are watches. 2: Some clocks are alarms. Conclusion:I: Some Alarms are watches. II: All watches are alarm.

  • A. Only conclusion (I) follows
  • B. Only conclusion (II) follows
  • C. Both conclusions follow
  • D. Neither conclusion (I) nor conclusion (II) follows

Explanation: I: Some alarms are watches.This conclusion can be true because if there are clocks that are alarms and all clocks are watches, it is…

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Correct answer: Only conclusion (I) follows

28. Statements and conclusions: All benches are chairs . Some chairs are roads . All roads are pillars. Conclusions I - Some pillars are benches II - Some pillars are chairs. Ill - Some roads are benches IV - No pillar is bench

  • A. None follows
  • B. Only either I or IV, and Ill follows
  • C. Only either I or IV follows
  • D. Only either I or IV, and II follows

Explanation: I. Some pillars are benches. All benches are desks and Some desks are roads. All roads are pillars.

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Correct answer: Only either I or IV, and II follows

29. Statements: No cities are countries. No countries are villages. Conclusions: (I) Some countries are cities.(II) No villages are the city.

  • A. Only conclusion (I) follows
  • B. Only conclusion (II) follows
  • C. Both conclusions follow
  • D. Both of the conclusions do not follow

Explanation: The least possible Venn diagram for the given statements is as follows, Conclusion:(i)Some countries are city - It is not possible,hence…

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Correct answer: Both of the conclusions do not follow

30. Statements: All fish are tortoise. No tortoise is a crocodile. Conclusions: (I) No crocodile is a fish. (II) No fish is a crocodile.

  • A. Only conclusion II follows
  • B. Either I or II follows
  • C. Neither I nor II follows
  • D. Both I and II follow

Explanation: The Venn diagram shows that No crocodile is a fish. If No crocodile is a fish then No fish is a crocodile.

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Correct answer: Both I and II follow

31. Statements: All fish are tortoises. No tortoise is a crocodile. Conclusions: I. No crocodile is a fish. II. No fish is a crocodile.

  • A. Only conclusion II follows
  • B. Either I or II follows
  • C. Neither I nor II follows
  • D. Both I and II follow

Explanation: STATEMENT 1, All fish = tortoise STATEMENT 2, Tortoise crocodile CONCLUSION 1, crocodile fish CONCLUSION 2, fish crocodile Both…

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Correct answer: Both I and II follow

32. Statements and Conclusions:All fish are tortoises. No tortoise is a crocodile.Conclusions: I. No crocodile is a fishII. No fish is a crocodile

  • A. Only conclusion II follows
  • B. Either I or II follow
  • C. Neither I or II follows
  • D. Both I and II follows

Explanation: The first statement tells us that all fish are tortoises. This tells us that no crocodiles are fish hence conclusion one is correct.

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Correct answer: Both I and II follows

33. Statements: Some papers are pens. Angle is a paper.Conclusions:I. Angle is not a pen.II. Angle is a pen.

  • A. Only conclusion II follows
  • B. Either conclusion I or II follows
  • C. Neither conclusions I nor II follow
  • D. Both conclusion I and II follow

Explanation: From the information given we know that angle is a paper. However, the first statement says that "some" papers are pens which implies that…

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Correct answer: Either conclusion I or II follows

34. Statements and Conclusions: All benches are chairs. Some chairs are roads. All roads are pillars. Conclusions: I - Some pillars are benches. II - Some pillars are chairs. Ill -Some roads are benches. IV - No pillar is a bench.

  • A. None follows
  • B. Only either I or IV, and III follow
  • C. Only either I or IV follow
  • D. Only either I or IV, and II follow

Explanation: I. Some pillars are benches. All benches are desks and Some desks are roads. All roads are pillars.

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Correct answer: Only either I or IV, and II follow

35. Statements: No cities are countries. No countries are villages. Conclusions: (I) Some countries are cities. (II) No villages are cities.

  • A. Only conclusion (I) follows
  • B. Only conclusion (II) follows
  • C. Both conclusions follow
  • D. Both of the conclusions do not follow

Explanation: City ≠ country and countries ≠ villages Conclusion I states that countries are city → is not possible, because no cities are countries…

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Correct answer: Both of the conclusions do not follow

36. Statements: No cities are countries. No countries are villages. Conclusions: (I) Some countries are cities. (II) No villages are the city.

  • A. Only conclusion (I) follows
  • B. Only conclusion (II) follows
  • C. Both conclusions follow
  • D. Both of them do not follow

Explanation: I) Some countries are cities → It is not possible, hence false.II) No villages are cities → It is possible but not definite, hence…

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Correct answer: Both of them do not follow

37. Statements:All film stars are playback singers. All film directors are film stars.Conclusions:I. All film directors are playback singers.II. Some film stars are film directors.Which of the following is true?

  • A. Only conclusion II follows
  • B. Either I or II follows
  • C. Neither I nor II follows
  • D. Both I and II follows

Explanation: Since both the premises are universal and affirmative, the conclusion must be universal affirmative and should not contain the middle…

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Correct answer: Both I and II follows

38. Some bags are pouches. All pouches are cases. No cases are purses. Which of the following conclusions are NECESSARILY TRUE?CONCLUSIONS:I. Some pouches are purses.II. Some bags are cases.III. No bags are purses.

  • A. I and II
  • B. I and III
  • C. II
  • D. II and III

Explanation: I: Since all pouches are cases and no cases are purses then no pouches are purses. This statement is false.

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Correct answer: II

39. All hammers are tools. Some tools are useless things. All useless things are trash. Which of the following is NECESSARILY TRUE given only the information above?ConclusionsI. Some hammers are trash. II. Some tools are trash.III. All useless things are tools.

  • A. I and III
  • B. I and II
  • C. II and III
  • D. II

Explanation: Now look at the conclusions provided, For I, if we look at the diagram some hammers are not trash hence I is wrong.

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Correct answer: II

40. Statements:Some teachers are students.All students are girls.No student is a boy.Condusions:I. Some teachers are boys.II. Same girls are teachers.IlI. Some girls are students.

  • A. Only I follows
  • B. Only I, II and III follow
  • C. Only II follows
  • D. Only II and III follow

Explanation: The correct answer is D: 'Only II and III follow.' To analyze the conclusions:- Conclusion I ('Some teachers are boys') cannot be true…

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Correct answer: Only II and III follow
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