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Gahininath

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· 1 Months ago

About syllogism (Question: 150878.0 )

Not understand simfiplify more

Question:

DIRECTIONS: In these questions, four statements followed by five conclusions A,B, C,D and E have been given. You have to take the given statements be true even if they seem to be at variance from the commonly known facts and then decide which of the given conclusions logically follows from the given statement disregarding commonly known facts.

Statements:

Some institutions are schools.

All schools are colleges.

No college is a library.

Some libraries are not universities.

Options:
A) Some universities are schools
B) All schools being libraries is a possibility
C) No college is a university
D) All institutions being libraries is not a possibility
E) All of the above conclusions follows
Solution:

Ans: (d) The given statements can be represented by using the following basic diagram.


Conclusion 1, is affirmative and does not follow.

Conclusion 2, is possibility and does not follow.

Conclusion 3, negative and follows.

As negative conclusion follows let us try to negate it. Negation for conclusion 3 is ‘some colleges are universities’ it can be represented by using the following alternative diagram.


Conclusion 4 is a possibility and follows.

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