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  • Question
  • Statements:
    No man is intelligent.
    All women are intelligent.
    Conclusions:
    I. No man is a woman.
    II. No woman is a man.


  • Options
  • A. Only I follows
  • B. Only II follows
  • C. Both I & II follow
  • D. Neither of them follow

  • Correct Answer
  • Both I & II follow 

    Explanation

    First Premise is Universal Negative (E-type).
    Second Premise is Universal Affirmative (A-type).
    We can align the Premises by Converting the first Premise and changing their order. Thus,
    All women are intelligent. ? No intelligent is a man .
    we know that,
    A + E ?E-type Conclusion Thus our derived Conclusion would be:
    "No woman is a man"
    This is the Conclusion II. Conclusion I is the Converse of this Conclusion.
    Therefore, both the Conclusions I and II follow.


  • Syllogism problems


    Search Results


    • 1. 
      Statements:
      (A) No cow is a chair.
      (B) All chairs are tables.
      Conclusions:
      I. Some tables are chairs.
      II. Some tables are cows.
      III. Some chairs are cows.
      IV. No table is a cow.

    • Options
    • A. Either II or III follow
    • B. Either II or IV follow
    • C. Only I follows
    • D. \All conclusions follow
    • Discuss
    • 2. 
      No monkey can sing but some monkeys can talk.
      If the above statement is correct, then which of the following is correct?

    • Options
    • A. Some monkeys may sing
    • B. All monkeys can't sing
    • C. All monkeys can't talk
    • D. All monkeys can talk
    • Discuss
    • 3. 
      Statement:
      All philosophers are men. Socrates was a philosopher. Conclusion:
      I. Socrates was a man.
      II. Women cannot become philosophers.

    • Options
    • A. Only I is valid
    • B. Only II is valid
    • C. Both are not valid
    • D. Both are valid
    • Discuss
    • 4. 
      Statements:
      All University Professors have a doctorate degree. X is a lady professor.
      Conclusions:
      I. X does not have a Doctorate degree.
      II. Only men Professors have a Doctorate degree.

    • Options
    • A. Both I & II follow
    • B. Only I follows
    • C. Neither I nor II follows
    • D. Only II follows
    • Discuss
    • 5. 
      Statements:
      (a) Some politicians are social workers.
      (b) All doctors are social workers.
      Conclusions:
      I. Some doctors are politicians
      II. Some social workers are doctors as well as politicians

    • Options
    • A. Neither Conclusion I nor II follows.
    • B. Only Conclusion II follows.
    • C. Both Conclusions I and II follow.
    • D. Only Conclusion I follows.
    • Discuss
    • 6. 
      Statements:
      All carts are cars.
      All cars are trains. So
      Conclusions:
      I. All carts are trains.
      II. All trains are carts.

    • Options
    • A. Only conclusion I follows
    • B. Only conclusion II follows
    • C. Both conclusions I and II follow
    • D. Neither conclusion I nor conclusion II follows
    • Discuss
    • 7. 
      Statements:
      All soldiers are men.
      Some citizens are soldiers.
      Conclusions:
      I. Some citizens are men.
      II. All soldiers are citizens.

    • Options
    • A. Only I follows
    • B. Neither I nor II follows
    • C. Only II follows
    • D. Both I and II follow
    • Discuss
    • 8. 
      Statements:
      (a) Some shoes are White.
      (b) All White are Blue.
      Conclusions:
      I. All shoes are Blue.
      II. Some shoes are Blue.

    • Options
    • A. Only I follows
    • B. Only II follows
    • C. Neither I nor II follows
    • D. Both I and II follow
    • Discuss
    • 9. 
      Statements:
      Some files are numbered.
      All numbers are coded.
      Inferences:

    • Options
    • A. All files are coded.
    • B. All codes are filed.
    • C. Some files are not numbered.
    • D. No numbers have codes
    • Discuss
    • 10. 
      Statements:
      (a) All goats are tigers.
      (b) All tigers are lions.
      Conclusions:
      I. All tigers are goats.
      II. All lions are tigers.
      III. No goat is a lion.
      IV. No lion is a goat.

    • Options
    • A. Either II or III follows
    • B. Either II or IV follows
    • C. Either I or III follows
    • D. None of the conclusions follow
    • Discuss


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