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Consider the given statements to be true even if they seem to be at variance with commonly known facts and decide which of the given conclusions logic
Question

Consider the given statements to be true even if they seem to be at variance with commonly known facts and decide which of the given conclusions logically follow(s) from the statements.
Statements:
1. Some rats are white.
2. Some white are pigs.
3. All pigs are blue.
4. No pig is a donkey.
5. All donkeys are tall.
Conclusion:
i. Some tall are not pigs.
ii. Some rats are pigs.
iii. All blue being donkeys is a possibility.

A.

Only I follows.

B.

Only I and II follow.

C.

Only II and III follow.

D.

Only II follows.

Correct option is A

Given:
Statements:
I. Some rats are white.
II. Some white are pigs.
III. All pigs are blue.
IV. No pig is a donkey.
V. All donkeys are tall.
According to given information Venn diagram will be-
Conclusion:
I. Some tall are not pigs.
From the statement "All donkeys are tall," we know that donkeys are tall. Since "No pig is a donkey," it implies that some tall things (donkeys) are not pigs.
This conclusion is logically correct
II. Some rats are pigs.
From Statement I: Some rats are white, and from Statement II: Some white are pigs.
There is no direct link between rats and pigs, as rats being white does not necessarily mean that those white rats are pigs.
III. All blue being donkeys is a possibility.
From Statement III: All pigs are blue, and Statement IV: No pig is a donkey.
From the statement "All pigs are blue" and "No pig is a donkey," we can deduce that pigs are blue, but no pig is a donkey.
Therefore, it’s not possible for all blue things to be donkeys, since pigs, which are blue, are not donkeys.
Thus, the correct option (a) Only I follows.

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