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Fallacy

Statements : ...

Question

Statements : Some cats are black.
All blacks are dogs.
No dog is an animal.
Conclusions: I. Some blacks being animals is a possibility.
II. All dogs being cats is a possibility.

A

Only conclusion I follows.

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B

Only conclusion II follows.

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C

Either conclusion I or II follows.

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D

Neither conclusion I nor II follows.

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Solution

The correct option is D Neither conclusion I nor II follows.
There are two cases possible.
All B are D, so some B can not be A.
All D can not be C in second diagram.
Thus both conclusion are not correct.

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Similar questions

Q. In each question below are given two or three statements followed by two conclusions numbered I and II. You have to take the given statements to be true even if they seem to be at variance with commonly known facts. Read all the conclusions and decide which of the given conclusions logically follows from the given statements, disregarding commonly known facts. Give answer
Statements: Some dogs are cats.
All animals are cats.
All cats are whites.
Conclusions I. All those dogs which are cats are also whites.
II. All the animals may or may not be dogs.

Q. In the following question, two statements are given followed by four conclusions I, II, III and IV. You have to consider the 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 statements.

Statements
Some cats are dogs.
No dog is a toy.

Conclusions
I. Some dogs are cats.
II. Some toys are cats.
III. Some cats are not toys.
IV. All toys are cats.

Statements

Some horses are tigers.

All tigers are goats.

All goats are dogs.

Some dogs are cats.

Conclusions

I. Some cats are horses.

II. Some dogs are tigers.

III. Some goats are horses.

IV. Some cats are tigers.

Statements:

Some horses are tigers.

All tigers are goats.

All goats are dogs.

Some dogs are cats.

Conclusions:

I. Some cats are horses.

II. Some dogs are tigers.

III. Some goats are horses.

IV. Some cats are tigers.

Q. Statements are given followed by four conclusions. You have to consider the 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 statement.

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Some cats are dogs.
Some dogs are stones.

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I.No cat is a stone.
II. All dogs are stones.
III. Some stones are cats.
IV. No dog is a cat.

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