Question : Direction: In the following question, two statements are given 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 of the given conclusions, if any, follow from the given statements.
Statements
All women are cats.
All cats are rats.
Conclusions
I. All women are rats.
II. All rats are women.
Option 1: Neither conclusion I nor II follows
Option 2: Only conclusion I follows
Option 3: Only conclusion II follows
Option 4: Both conclusions I and II follow
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Correct Answer: Only conclusion I follows
Solution : Given:
Statements
- All women are cats.
- All cats are rats.
Let's use a Venn diagram to evaluate each conclusion:
I. All women are rats
Since all women are cats and all cats are rats, this implies that all women are cats. So, conclusion I is true.
II. All rats are women.
While it is true that all women are cats and all cats are rats, this does not imply that all rats are women. There can be some rats that exist outside the circle of women. So, conclusion II is not true.
Therefore, only conclusion I follows from the given statements.
Hence, second option is correct.
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