Syllogism


Direction: Which alternatives applies to the given statements and its conclusions?

  1. Statements:
    Some doctors are teachers.
    All teachers are counsellors.
    Conclusions:
    I. Some counsellors are not teachers.
    II. Some doctors are counsellors









  1. View Hint View Answer Discuss in Forum

    First premise is Particular Affirmative (I–type).
    Second premise is Universal Affirmative (I-type).
    Both the premises are already aligned.Thus,
    Some doctors are teachers ↔ All teachers are counsellors.

    Correct Option: B

    First premise is Particular Affirmative (I–type).
    Second premise is Universal Affirmative (I-type).
    Both the premises are already aligned. Thus,
    Some doctors are teachers ↔ All teachers are counsellors.
    We know that, I + A ⇒ I-type conclusion.
    Therefor, our derived conclusion would be:
    “Some doctors are counsellors”. Thus, only conclusion II follows.



Direction: Two statements are followed by two conclusions I and II. You have to consider the two statements to be true even if they seem to be at variance from commonly known facts. You have to decide which one of the given conclusions are definitely drawn from the given statements:

  1. Statement:
    (a) All politicians are intelligent
    (b) Some women are politicians
    Conclusions:
    I. Some women are intelligent
    II. All those intelligent are women.









  1. View Hint View Answer Discuss in Forum

    Some women are politicians. ↔ All politicians are intelligents.

    Correct Option: A

    Some women are politicians. ↔ All politicians are intelligents.
    We know that,
    I + A ⇒I–type Conclusion Thus, our derived Conclusion would be: “Some women are intelligent”.


Direction: One/two statements are given followed by four conclusions I, II, III and IV. You have to consider the two statements to be true even if they seem to be at variance from commonly known facts. You have to decide which of the given conclusions, if any, follow from the given statement.

  1. Statements:
    (A) Some cats are dogs.
    (B) Some dogs are stones.
    Conclusions:
    I. No cat is stone.
    II. All dogs are stones.
    III. Some stones are cats.
    IV. No dog is cat.









  1. View Hint View Answer Discuss in Forum

    Both the Premises are Particular Affirmative (I-type).
    No Conclusion follows from the two Particular Premises.

    Correct Option: D

    Both the Premises are Particular Affirmative (I-type).
    No Conclusion follows from the two Particular Premises.
    Conclusions I and III form Complementary Pair. Therefore, either Conclusion I or III follows. Considering the given Options we can select option (4) as the answer.


Direction: In the following question, two statements are given followed by two Inferences I and II. You have to consider the two statements to be true, even if they seem to be at variance from commonly known facts. You are to decide which of the given conclusions can definitely be drawn from the given statements. Indicate your answer.

  1. Statements:
    A. All girls are proud.
    B. All proud will be humiliated one day.
    Inferences:
    I. All girls will be humiliated one day.
    II. Some girls will be humiliated one day.









  1. View Hint View Answer Discuss in Forum

    Both the Premises are Universal Affirmative (A-type).
    Both the Premises are already aligned.

    Correct Option: C

    Both the Premises are Universal Affirmative (A-type).
    Both the Premises are already aligned.
    All girls are proud ↔ All proud will be humiliated one day
    We know that,
    A + A ⇒ A – type Conclusion Therefore, our derived Conclusion would be:
    “All girls will be humiliated one day”.
    Conclusion II is the converse of the derived Conclusion. Thus, both the Conclusions follow.


Direction: In the following question, two statements P and Q are given followed by four conclusions I, II, III and IV. You have to consider the two statements to be true even if they seem to be at variance from commonly known facts. You have to decide which of the given conclusions, if any, follow the given statements.

  1. Statements:
    P. All men are women.
    Q. All women are crazy.
    Conclusions:
    I. All men are crazy.
    II. All the crazy are men.
    III. Some of the crazy are men.
    IV. Some of the crazy are women.









  1. View Hint View Answer Discuss in Forum

    Both the Premises are Universal Affirmative (A-type).
    All men are women. ↔ All women are crazy.

    Correct Option: C

    Both the Premises are Universal Affirmative (A-type).
    All men are women. ↔ All women are crazy.
    A + A ⇒ A – type of Conclusion
    “All men are crazy”.
    This is Conclusion I. Conclusion III is the Converse of it.
    Conclusion IV is the Converse of Statement Q.